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authorJaron Kent-Dobias <jaron@kent-dobias.com>2020-04-15 14:15:52 -0400
committerJaron Kent-Dobias <jaron@kent-dobias.com>2020-04-15 14:15:52 -0400
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-
-cc1 = "#5e81b5"
-cc2 = "#e19c24"
-cc3 = "#8fb032"
-cc4 = "#eb6235"
-
-set terminal epslatex size 8.68cm, 5.5cm standalone
-set output "fig-fit.tex"
-
-set tmargin 0.3
-set lmargin 7
-set rmargin 1.5
-set bmargin 3
-
-set nokey
-set xrange [-25:300]
-set format x '\scriptsize $%g$'
-set format y '\scriptsize $%g$'
-
-set arrow 1 from 17.26,graph 0 to 17.26,graph 1 nohead lw 4 lc rgb cc2
-
-set xlabel '\footnotesize $T / \mathrm K$'
-set ylabel '\footnotesize $\lambda_{\mathrm B_{1\mathrm g}} / \mathrm{GPa}$' offset 2
-set yrange [65.05:65.7]
-
-lam(T) = 71.1212 - 0.0104105 * T
-
-plot "data/c11mc12.dat" using 1:(100 * $2) with lines lw 3 lc rgb cc3, \
- lam(x) / (1 + 6.2662 / (1 + 0.00378087 * abs(x - 17.26)) / lam(x)) dt 3 lw 4 lc rgb cc4
-
-
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-
-\documentclass[fleqn]{article}
-
-\usepackage{amsmath,amssymb}
-\usepackage{fullpage,graphicx}
-
-\title{Elastic Lifshitz point}
-\author{Jaron Kent-Dobias}
-
-\begin{document}
-
-\def\Aog{\mathrm A_{1\mathrm g}}
-\def\Bog{\mathrm B_{1\mathrm g}}
-\def\Btg{\mathrm B_{2\mathrm g}}
-\def\Eg{\mathrm E_{\mathrm g}}
-\def\X{\mathrm X}
-
-\maketitle
-
-The free energy density of our model has three terms, respectively corresponding to the strain, the order parameter, and the strain--order parameter coupling. The free energy density for the strain, taken to quadratic order under the assumption of small strains, is generically of the form $f_{\mathrm e}=\frac12\lambda_{ijk\ell}\epsilon_{ij}\epsilon_{k\ell}$. Symmetries of the strain tensor, which is symmetric, and those of the lattice restrict the form of $\lambda$. The most general form for a system with a tetragonal point group is
-\[
- f_{\mathrm e}=\frac12\Big[\lambda_{1111}(\epsilon_{11}^2+\epsilon_{22}^2)+
- \lambda_{3333}\epsilon_{33}^2+
- 2\lambda_{1133}(\epsilon_{11}+\epsilon_{22})\epsilon_{33}+
- 2\lambda_{1122}\epsilon_{11}\epsilon_{22}+
- 4\lambda_{1212}\epsilon_{12}^2+
- 4\lambda_{1313}(\epsilon_{13}^2+\epsilon_{23}^2)\Big]
-\]
-A very convenient way to come by this form is to use knowledge of the point group of the lattice and the way that strain transforms under it. The following linear combinations of strains transform like a particular irreducible representation of the point group:
-\begin{align*}
- \epsilon_{\Aog}^{(1)}=\epsilon_{11}+\epsilon_{22}
- &&
- \epsilon_{\Aog}^{(2)}=\epsilon_{33}
- \\
- \epsilon_{\Bog}^{(1)}=\epsilon_{11}-\epsilon_{22}
- &&
- \epsilon_{\Btg}^{(1)}=\epsilon_{12}
- &&
- \epsilon_{\mathrm E_{\mathrm G}}^{(1)}=\{\epsilon_{11},\epsilon_{22}\}
-\end{align*}
-The most general quadratic free energy density is built from combinations of strains that transform like scalars, or $\Aog$, yielding
-\[
- \begin{aligned}
- f_{\mathrm e}&=\frac12\sum_{\X}\lambda_{\X}^{(ij)}\epsilon_{\X}^{(i)}\epsilon_{\X}^{(j)}\\
- &=\frac12\Big[\lambda^{(11)}_{\Aog}(\epsilon_{\Aog}^{(1)})^2+
- \lambda_{\Aog}^{(22)}(\epsilon_{\Aog}^{(2)})^2+
- 2\lambda_{\Aog}^{(12)}\epsilon_{\Aog}^{(1)}\epsilon_{\Aog}^{(2)}+
- \lambda_{\Bog}^{(11)}(\epsilon_{\Bog}^{(1)})^2+
- \lambda_{\Btg}^{(11)}(\epsilon_{\Btg}^{(1)})^2+
- \lambda_{\Eg}^{(11)}\epsilon_{\Eg}^{(1)}\cdot\epsilon_{\Eg}^{(1)}\Big]
- \end{aligned}
-\]
-where the sum is over the irreducible representations of the point group.
-We can now identify
-\begin{align*}
- \lambda_{\Aog}^{(11)}=\tfrac12(\lambda_{1111}+\lambda_{1122})
- &&
- \lambda_{\Aog}^{(22)}=\lambda_{3333}
- &&
- \lambda_{\Aog}^{(12)}=\lambda_{1133}
- \\
- \lambda_{\Bog}^{(11)}=\tfrac12(\lambda_{1111}-\lambda_{1122})
- &&
- \lambda_{\Btg}^{(11)}=4\lambda_{1212}
- &&
- \lambda_{\Eg}^{(11)}=4\lambda_{1313}
-\end{align*}
-Consider a generic order parameter $\eta$. To write down its free energy, we in principle must know both how it transforms under symmetry operations of the lattice and how derivative operators transform. For derivative operators, the two independent combinations are $\nabla_\parallel=\{\partial_x,\partial_y\}$ which transforms like $\Eg$, and $\nabla_\perp=\partial_3$ which transform like $\Aog$. The irreducible symmetry that $\eta$ transforms like determines its coupling to strain. To quadratic order we have
-\[
- f_{\X}=\tfrac12b^{(i)}\epsilon_{\X}^{(i)}\cdot\eta
- +\tfrac12e^{(i)}\epsilon_{\Aog}^{(i)}\eta^2
- +\tfrac12h^{(ij)}\epsilon_{\Aog}^{(i)}\epsilon_{\X}^{(j)}\eta
-\]
-The total free energy is
-\[
- F=\int d^3x\,(f_{\mathrm e}+f_{\mathrm o}+f_{\X})
-\]
-There are three distinct possibilities here: $\eta$ transforms like a one-component irreducible representation of the point group that is not $\Aog$ ($\Bog$ or $\Btg$), $\eta$ transforms like $\Aog$, and $\eta$ is a two-component vector that transforms like $\Eg$.
-
-\section{$\Bog$ or $\Btg$ order parameter}
-
-We will first tackle the case of a non-$\Aog$, one-component order parameter.
-The most general quartic free energy density (discounting total derivatives) is
-\[
- f_{\mathrm o}=\frac12\Big[r\eta^2+
- c_\parallel(\nabla_\parallel\eta)^2+
- c_\perp(\nabla_\perp\eta)^2+
- D(\nabla^2\eta)^2\Big]
- +u\eta^4
-\]
-independent of the symmetry of $\eta$. In principle we could have $D_\parallel\neq D_\perp$, but this does not affect the physics at hand. This is the free energy for a Lifshitz point, and so we expect to see that phenomenology in $\eta$.
-Before doing anything, we can minimize the free energy with respect to strain alone to find the strain in terms of $\eta$ exactly. We have
-\[
- 0=\frac{\delta F}{\delta\epsilon_{\mathrm X}^{(1)}(x)}=\lambda_{\mathrm X}^{(11)}\epsilon_{\mathrm X}^{(1)}(x)+\frac12b^{(1)}\eta(x)+\frac12h^{(i)}\epsilon_{\Aog}^{(i)}\eta
-\]
-whence we immediately have $\epsilon_{\mathrm X}^{(1)}=-\frac{b^{(1)}}{2\lambda_{\mathrm X}^{(11)}}\eta(x)$. We also have
-\[
- 0=\frac{\delta F}{\delta\epsilon_{\Aog}^{(i)}(x)}
- =\lambda_{\Aog}^{(ij)}\epsilon_{\Aog}^{(j)}(x)+\frac12 e^{(i)}\eta^2(x)+\frac12h^{(i)}\epsilon_\X\eta
-\]
-which is a linear system whose solutions are
-\begin{align*}
- \epsilon_{\Aog}^{(1)}(x)=\frac12\frac{e^{(1)}\lambda_{\Aog}^{(22)}-e^{(2)}\lambda_{\Aog}^{(12)}}{((\lambda_{\Aog}^{(12)})^2-\lambda_{\Aog}^{(11)}\lambda_{\Aog}^{(22)}}\eta^2(x)
- &&
- \epsilon_{\Aog}^{(2)}(x)=\frac12\frac{e^{(2)}\lambda_{\Aog}^{(11)}-e^{(1)}\lambda_{\Aog}^{(12)}}{((\lambda_{\Aog}^{(12)})^2-\lambda_{\Aog}^{(11)}\lambda_{\Aog}^{(22)}}\eta^2(x)
-\end{align*}
-All other strain fields are extremized for $\epsilon_{\mathrm Y}^{(i)}(x)=0$. These solutions may be substituted into the free energy to arrive at one that is only a functional of $\eta(x)$ whose free energy density is identical to $f_{\mathrm o}$ but with
-\begin{align*}
- r\to \tilde r=r-\frac{(b^{(1)})^2}{4\lambda_{\X}^{(11)}}
- &&
- u\to \tilde u=u+\frac18\frac{(e^{(1)})^2\lambda_{\Aog}^{(22)}+(e^{(2)})^2\lambda_{\Aog}^{(11)}-2e^{(1)}e^{(2)}\lambda_{\Aog}^{(12)}}{(\lambda_{(12)}^{\Aog})^2-\lambda_{\Aog}^{(11)}\lambda_{\Aog}^{(22)}}
-\end{align*}
-so that the total free energy is
-\[
- F=\int dx\bigg(\frac12\Big[\tilde r\eta^2+c_\parallel(\nabla_\parallel\eta)^2+c_\perp(\nabla_\perp\eta)^2+D(\nabla^2\eta)^2\Big]+\tilde u\eta^4\bigg)
-\]
-Replacing $\eta$ with its inverse Fourier transform, the free energy is
-\[
- F=\frac V2\sum_q\Big[\tilde r|\tilde\eta_q|^2+c_\parallel q_{\parallel}^2|\tilde\eta_q|^2
- +c_\perp q_{\perp}^2|\tilde\eta_q|^2+Dq^4|\tilde\eta_q|^2\Big]
- +V\tilde u\sum_q\sum_{q'}\sum_{q''}\tilde\eta_q\tilde\eta_{q'}\tilde\eta_{q''}\tilde\eta_{-(q+q'+q'')}
-\]
-The susceptibility of this system is
-\[
- \begin{aligned}
- \chi^{-1}(x,x')
- &=\frac{\delta^2F}{\delta\eta(x)\delta\eta(x')}
- =\frac{\delta}{\delta\eta(x')}\Big[\tilde r\eta(x)-c_\parallel\nabla_\parallel^2\eta(x)-c_\perp\nabla_\perp^2\eta(x)+D\nabla^4\eta(x)+4\tilde u\eta^3(x)\Big] \\
- &=\Big[\tilde r-c_\parallel\nabla_\parallel^2-c_\perp\nabla_\perp^2+D\nabla^4+12\tilde u\eta^2(x)\Big]\delta(x-x')
- \end{aligned}
-\]
-or in Fourier space,
-\[
- \chi^{-1}(q)
- =\tilde r+c_\parallel q_\parallel^2+c_\perp q_\perp^2+Dq^4+12\tilde u\sum_{q'}\tilde\eta(q')\tilde\eta(-q')
-\]
-To get the elastic susceptibility we must now extremize over $\eta$ and $\epsilon_{\Aog}^{(i)}$. The latter is done exactly as before, but the former givs
-\[
- 0=\frac{\delta F}{\delta\eta}=\frac{\delta F_\eta}{\delta\eta}+\frac12b^{(1)}\epsilon_\X^{(1)}
-\]
-whose solutions give $\eta[\epsilon_\X^{(1)}]$ implicitly as
-\[
- \eta^{-1}[\eta(x)]=-\frac2{b^{(1)}}\frac{\delta F_\eta}{\delta\eta(x)}
-\]
-The inverse function theorem gives
-\[
- \begin{aligned}
- \bigg(\frac{\delta\eta(x)}{\delta\epsilon_\X^{(1)}(x')}\bigg)^{-1}
- =\frac{\eta^{-1}[\eta(x)]}{\eta(x')}
- =-\frac2{b^{(1)}}\frac{\delta^2F_\eta}{\delta\eta(x)\delta\eta(x')}
- =-\frac2{b^{(1)}}\bigg[\chi^{-1}(x,x')+\frac{(b^{(1)})^2}{4\lambda_\X^{(11)}}\delta(x-x')\bigg]
- \end{aligned}
-\]
-The elastic susceptibility then follows as
-\begin{align*}
- (\chi_{\X}^{(11)}(x,x'))^{-1}
- &=\frac{\delta^2F}{\delta\epsilon_{\X}^{(1)}(x)\delta\epsilon_{\X}^{(1)}(x')} \\
- &=\lambda_\X^{(11)}\delta(x-x')+
- b^{(1)}\frac{\delta\eta(x)}{\delta\epsilon_\X^{(1)}(x')}+\frac12b^{(1)}\int dx''\,\epsilon(x'')\frac{\delta^2\eta(x)}{\delta\epsilon_\X^{(1)}(x')\delta\epsilon_\X^{(1)}(x'')} \\
- &\qquad+\int dx''\,dx'''\,\frac{\delta^2F_\eta}{\delta\eta(x'')\delta\eta(x''')}\frac{\delta\eta(x'')}{\delta\epsilon_\X^{(1)}(x)}\frac{\delta\eta(x''')}{\delta\epsilon_\X^{(1)}(x')} \\
- &=\lambda_\X^{(11)}\delta(x-x')+
- b^{(1)}\frac{\delta\eta(x)}{\delta\epsilon_\X^{(1)}(x')}
- -\frac12b^{(1)}\int dx''\,dx'''\,\bigg(\frac{\partial\eta(x'')}{\partial\epsilon_\X^{(1)}(x''')}\bigg)^{-1}\frac{\delta\eta(x'')}{\delta\epsilon_\X^{(1)}(x)}\frac{\delta\eta(x''')}{\delta\epsilon_\X^{(1)}(x')} \\
- &=\lambda_\X^{(11)}\delta(x-x')+
- b^{(1)}\frac{\delta\eta(x)}{\delta\epsilon_\X^{(1)}(x')}
- -\frac12b^{(1)}\int dx''\,\delta(x-x'')\frac{\delta\eta(x'')}{\delta\epsilon_\X^{(1)}(x')} \\
- &=\lambda_\X^{(11)}\delta(x-x')+
- \frac12b^{(1)}\frac{\delta\eta(x)}{\delta\epsilon_\X^{(1)}(x')}
-\end{align*}
-whence
-\[
- \chi_\X^{(11)}(x,x')
- =\bigg(\lambda\delta(x-x')+\frac12b^{(1)}\frac{\delta\eta(x)}{\delta\epsilon_\X^{(1)}(x')}\bigg)^{-1}
- =\frac1{\lambda_\X^{(11)}}\bigg(\delta(x-x')+\frac{(b^{(1)})^2}{4\lambda_\X^{(11)}}\chi(x,x')\bigg)
-\]
-or
-\[
- \chi_\X^{(11)}(q)=\frac1{\lambda_\X^{(11)}}\bigg(1+\frac{(b^{(1)})^2}{4\lambda_\X^{(11)}}\chi(q)\bigg)
-\]
-The same process can be used to get the susceptibility for the $\Aog$ components. Now extremizing over $\epsilon_{\X}^{(1)}$ and $\eta$, we have
-\[
- 0=\frac{\delta F}{\delta\eta}=\frac{\delta F_\eta}{\delta\eta}+e^{(i)}\epsilon_{\Aog}^{(i)}\eta
-\]
-Unfortunately we cannot use the inverse function theorem as before. I'm still figuring out how to do this cleanly.
-
-We will assume that our system orders at some specific $q_\perp=q^*$. This ansatz is equivalent to
-\begin{align*}
- \tilde\eta(q)=\tfrac12\eta_*\big[\delta_{q_\perp,q_*}+\delta_{q_\perp,-q_*}\big]\delta_{q_\parallel,0}
-\end{align*}
-For $q_*\neq0$, we have
-\[
- F=\frac V2\bigg[\frac12(\tilde r+c_\perp q_*^2+Dq_*^4)\eta_*^2+\frac34\tilde u\eta_*^4\bigg]
-\]
-while for $q^*=0$ we have
-\[
- F=\frac V2\big(\tilde r\eta_*^2+2\tilde u\eta_*^4\big)
-\]
-For $\tilde r>0$ and $c_\perp>0$ or $r>c_\perp^2/4D$ and $c_\perp<0$, there is a free energy minimizer with $\eta_*=0$. For $r<0$ there is a local minimum with $q_*=0$ and $\eta_*^2=-\tilde r/4\tilde u$. For $c_\perp<0$ and $r<c_\perp^2/4D$ there is a local minimum with $q_*^2=-c_\perp/2D$ and
-\[
- \eta_*^2=\frac{c_\perp^2-4D\tilde r}{12D\tilde u}=-\frac{\tilde r-\tilde r_c}{3\tilde u}
-\]
-with $\tilde r_c=c_\perp^2/4D$. Between the disordered and either of these phases is a continuous phase transition, and between the nontrivial phases is an abrupt transition.
-
-In the disordered phase, $\sum_{q}\tilde\tilde\eta(q)\tilde\eta(-q)=0$ and the susceptibility is
-\[
- \chi^{-1}(q)
- =\tilde r+c_\parallel q_\parallel^2+c_\perp q_\perp^2+Dq^4
-\]
-In the ordered phase, $\sum_q\tilde\eta(q)\tilde\eta(-q)=\eta_*^2=-\tilde r/4\tilde u$, and
-\[
- \chi^{-1}(q)
- =\tilde r+c_\parallel q_\parallel^2+c_\perp q_\perp^2+Dq^4-3\tilde r
- =-2\tilde r+c_\parallel q_\parallel^2+c_\perp q_\perp^2
-\]
-In the modulated phase, $\sum_q\tilde\eta(q)\tilde\eta(-q)=\frac12\eta_*^2=(c_\perp^2-4D\tilde r)/24D\tilde u$ and
-\[
- \chi^{-1}(q)
- =\tilde r+c_\parallel q_\parallel^2+c_\perp q_\perp^2+Dq^4+c_\perp^2/2D-2\tilde r
- =-(\tilde r-\tilde r_c)+c_\parallel q_\parallel^2+D(q_\parallel^4+2q_\parallel^2q_\perp^2)+D(q_*^2-q_\perp^2)^2
-\]
-At the disordered--ordered transition with $\tilde r_c=0$, this yields
-\[
- \chi(q)=\begin{cases}\big[Dq^4+c_\parallel q_\parallel^2+c_\perp q_\perp^2+|\Delta\tilde r|\big]^{-1}&\Delta\tilde r>0\\\big[Dq^4+c_\parallel q_\parallel^2+c_\perp q_\perp^2+2|\Delta\tilde r|\big]^{-1}&\Delta\tilde r<0\end{cases}=\frac1{c_\perp}\frac{\xi_\perp^2}{1+\xi_\parallel^2q_\parallel^2+\xi_\perp^2q_\perp^2+\xi_\perp^2(D/c_\perp)q^4}
-\]
-where the correlation lengths are
-\begin{align*}
- \xi_\perp=\begin{cases}(|\Delta\tilde r|/c_\perp)^{-1/2}&\tilde r<\tilde r_c\\(2|\Delta \tilde r|/c_\perp)^{-1/2}&\tilde r>\tilde r_c\end{cases}
- &&
- \xi_\parallel=\begin{cases}(|\Delta\tilde r|/c_\parallel)^{-1/2}&\tilde r<\tilde r_c\\(2|\Delta \tilde r|/c_\parallel)^{-1/2}&\tilde r>\tilde r_c\end{cases}
-\end{align*}
-At the disordered--modulated transition with $\tilde r_c=c_\perp^2/4D$, this yields
-\[
- \chi(q)=\big[c_\parallel q_\parallel^2+D(q_\parallel^4+2q_\parallel^2q_\perp^2)+D(q_*^2-q_\perp^2)^2+|\Delta\tilde r|\big]^{-1}=\frac1{D}\frac{\xi_\perp^4}{1+\xi_\parallel^2q_\parallel^2+\xi_\perp^4(q_\parallel^4+2q_\parallel^2q_\perp^2)+\xi_\perp^{4}(q_*^2-q_\perp^2)^2}
-\]
-where $\xi_\perp=(|\Delta\tilde r|/D)^{-1/4}$ and $\xi_\parallel=(|\Delta \tilde r|/c_\parallel)^{-1/2}$.
-
-The Ginzburg criterion gives the proximity $t_G$ of the critical point at which mean field theory is no longer self consistent, with
-\begin{align*}
- t_G=\frac{k_B^2}{32\pi^2(\Delta c_V)^2\xi_0^6}
-\end{align*}
-Experiments give $\Delta c_V\sim1\times10^5\,\mathrm J\,\mathrm m^{-3}\,\mathrm K^{-1}$ \cite{fisher_specific_1990} and $T_c\sim17.5\,\mathrm K$. A fit of $\tilde\lambda$ to experimental data (Fig.~\ref{fig:B1g.fit}) yields
-\begin{align*}
- \lambda=71\,\mathrm{GPa}-(0.10\,\mathrm{GPa}\,\mathrm{K}^{-1})T &&
- \frac{b^2}{4\lambda Dq_*^4}=0.084&&\frac a{Dq_*^4}=0.0038\,\mathrm K^{-1}
-\end{align*}
-with $|r-r_c|=a|T-T_c|$. We suspect that the modulation at the transition at very low pressure is on the order of the lattice spacing, which would give $q_*^{-1}\sim9.568\,\text{\r A}$. Combined with our fit, this gives
-\[
- \xi_0=(aT_c/D)^{-1/4}=\big[T_c(a/Dq_*^4)q_*^4\big]^{-1/4}\sim19\,\text{\r A}
-\]
-and therefore $t_G\sim1.2\times10^{-6}$, which means one would need to get within about $\Delta T=T_ct_G\sim20\,\mu\mathrm K$ of the critical point to see mean field theory break down.
-
-\begin{figure}
- \centering
- \includegraphics[width=0.5\textwidth]{cusp}
- \caption{Experimental data for the $\Bog$ effective elastic constant $\tilde\lambda_{\Bog}$ (blue dots), along with a fit of the above theory (orange line).}
- \label{fig:B1g.fit}
-\end{figure}
-
-\section{$\Aog$ order parameter}
-
-For the case where $\eta$ transforms like $\Aog$, the most general free energy is
-\[
- f_{\mathrm o}=\frac12\Big[r\eta^2+
- c_\parallel(\nabla_\parallel\eta)^2+
- c_\perp(\partial_3\eta)^2+
- g(\partial_3\eta)^3+
- D\big[(\nabla_\parallel^2+\partial_3^2)\eta\big]^2\Big]
- +v\eta^3
- +u\eta^4
-\]
-Extremizing over $\epsilon$ requires
-\[
- 0=\frac{\delta F}{\delta\epsilon_{\Aog}^{(i)}(x)}
- =\lambda_{\Aog}^{(ij)}\epsilon_{\Aog}^{(j)}(x)+\frac12 b^{(i)}\eta(x)+\frac12 e^{(i)}\eta^2(x)
-\]
-which is a system of equations with solution
-\begin{align*}
- \epsilon_{\Aog}^{(1)}(x)&=-\frac1{2\big[(\lambda_{\Aog}^{(12)})^2-\lambda_{\Aog}^{(11)}\lambda_{\Aog}^{(22)}\big]}\bigg[
- \Big(b^{(2)}\lambda_{\Aog}^{(12)}-b^{(1)}\lambda_{\Aog}^{(22)}\Big)\eta(x)+\Big(e^{(2)}\lambda_{\Aog}^{(12)}-e^{(1)}\lambda_{\Aog}^{(22)}\Big)\eta^2(x)
- \bigg]\\
- \epsilon_{\Aog}^{(2)}(x)&=-\frac1{2\big[(\lambda_{\Aog}^{(12)})^2-\lambda_{\Aog}^{(11)}\lambda_{\Aog}^{(22)}\big]}\bigg[
- \Big(b^{(1)}\lambda_{\Aog}^{(12)}-b^{(2)}\lambda_{\Aog}^{(22)}\Big)\eta(x)+\Big(e^{(1)}\lambda_{\Aog}^{(12)}-e^{(2)}\lambda_{\Aog}^{(11)}\Big)\eta^2(x)
- \bigg]
-\end{align*}
-All other strains are zero. Like the previous case, substitution of this solution into the free energy results in a functional of $\eta$ alone. As before, the result is a free energy density with the form of $f_{\mathrm o}$ but with
-\begin{align*}
- r&\to \tilde r=r+\frac18\frac{(b^{(1)})^2\lambda_{\Aog}^{(22)}+(b^{(2)})^2\lambda_{\Aog}^{(11)}-2b^{(1)}b^{(2)}\lambda^{(12)}_{\Aog}}{(\lambda_{\Aog}^{(12)})^2-\lambda_{\Aog}^{(11)}\lambda_{\Aog}^{(22)}} \\
- u&\to \tilde u=u+\frac18\frac{(e^{(1)})^2\lambda_{\Aog}^{(22)}+(e^{(2)})^2\lambda_{\Aog}^{(11)}-2e^{(1)}e^{(2)}\lambda^{(12)}_{\Aog}}{(\lambda_{\Aog}^{(12)})^2-\lambda_{\Aog}^{(11)}\lambda_{\Aog}^{(22)}}
-\end{align*}
-Unlike before, there is now an additional term in $f$ proportional to $\eta^3(x)$ with coefficient
-\[
- v\to\tilde v=v+\frac14\frac{b^{(1)}e^{(1)}\lambda_{\Aog}^{(22)}+b^{(2)}e^{(2)}\lambda_{\Aog}^{(11)}-\lambda_{\Aog}^{(12)}(b^{(1)}e^{(2)}+b^{(2)}e^{(1)})}{(\lambda_{\Aog}^{(12)})^2-\lambda_{\Aog}^{(11)}\lambda_{\Aog}^{(22)}}
-\]
-This implies that, unless the model is tuned to a place where this term vanishes, all transitions will be abrupt. We won't study this phenomenology any further.
-
-\section{$\Eg$ order parameter}
-
-For a $\Eg$ order parameter, the most general quartic free energy density is
-\[
- f_{\mathrm o}=\frac12\Big[r\eta^2+c_\parallel(\nabla_\parallel\cdot\eta)^2+c_\perp(\nabla_\perp\eta)^2+D(\nabla^2\eta)^2\Big]+u\eta^4
-\]
-Minimizing the strain in $\Aog$ proceeds exactly as before, while $\Eg$ gives
-\[
- 0=\frac{\delta F}{\delta\epsilon_{\Eg i}^{(1)}(x)}=\lambda_{\Eg}^{(11)}\epsilon_{\Eg i}^{(1)}+\frac12b^{(1)}\eta_i(x)
-\]
-whence $\epsilon_{\Eg i}^{(1)}(x)=-b^{(1)}/2\lambda_{\Eg}^{(11)}\eta_i(x)$. This leads to the same shifts in $r$ and $u$ as before, and we will use $\tilde r$ and $\tilde u$ to take the same meanings as they did for the $\Bog$ case. We now have
-\[
- \begin{aligned}
- \chi^{-1}_{ij}(x,x')
- &=\frac{\delta^2F}{\delta\eta_i(x)\delta\eta_j(x')}
- =\frac\delta{\delta\eta_j(x')}\Big[\tilde r\eta_i(x)-c_\parallel\partial_i^2\eta_i(x)-c_\perp\nabla_\perp^2\eta_i(x)+D\nabla^4\eta_i(x)+4\tilde u\eta_k(x)\eta_k(x)\eta_i(x)\Big] \\
- &=\Big\{\Big[\tilde r-c_\parallel\partial_i^2-c_\perp\nabla_\perp^2+D\nabla^4+4\tilde u\eta^2(x)\Big]\delta_{ij}+8\tilde u\eta_i(x)\eta_j(x)\Big\}\delta(x-x')
- \end{aligned}
-\]
-The Fourier transformed version is
-\[
- \chi^{-1}_{ij}(q)=\Big[\tilde r+c_\parallel q_i^2+c_\perp q_\perp^2+Dq^4+4\tilde u\sum_{q'}\tilde\eta_i(q')\tilde\eta_i(-q')\Big]\delta_{ij}+8\tilde u\sum_{q'}\tilde\eta_i(q')\tilde\eta_j(-q')
-\]
-
-We will assume the system orders at some $q_\perp=q_*$ as before, with
-\begin{align*}
- \tilde\eta_1(q)=\tfrac12\eta_*(\delta_{q_\perp,q_*}+\delta_{q_\perp,-q_*})\delta_{q_\parallel,0}
- &&
- \tilde\eta_2(q)=\tfrac12\eta_*(e^{-i\phi_*}\delta_{q_\perp,q_*}+e^{i\phi_*}\delta_{q_\perp,-q_*})\delta_{q_\parallel,0}
-\end{align*}
-where we have introduced a relative phase $\phi_*$ between the two components. For $q_*\neq0$ we have
-\[
- F=\frac V2\big[\tilde r+c_\perp q_*^2+Dq_*^4\big]\eta_*^2+\frac V4\tilde u\big[5+\cos(2\phi)\big]\eta_*^4
-\]
-while for $q_*=0$ we have
-\[
- F=\frac14\tilde r\big[3+\cos(2\phi)\big]\eta_*^2+\frac34\tilde u\big[3+\cos(2\phi)\big]^2\eta_*^4
-\]
-There is as before an $\eta^*=0$ solution corresponding to a trivial state, with the same boundaries as the $\Bog$ case. There is an ordered state with $\eta_*^2=-\tilde r/4\tilde u$ and $\phi_*=\pm\pi/2$. Finally, there is a modulated state with $q_*^2=-c_\perp/2D$, $\phi^*=\pm\pi/2$, and
-\[
- \eta_*^2=\frac{c_\perp^2-4D\tilde r}{16D\tilde u}
-\]
-Now, however, the ordered state becomes unstable when $c_\perp<0$, and there is a continuous transition between the ordered and metastable states along the $c_\perp=0$, $r<0$ line.
-
-\bibliographystyle{plain}
-\bibliography{hidden_order.bib}
-
-\end{document}
-
diff --git a/library.bib b/library.bib
deleted file mode 100644
index 6544ee6..0000000
--- a/library.bib
+++ /dev/null
@@ -1,3235 +0,0 @@
-%% This BibTeX bibliography file was created using BibDesk.
-%% http://bibdesk.sourceforge.net/
-
-
-%% Created for Michael Matty at 2019-08-05 15:24:37 -0400
-
-
-%% Saved with string encoding Unicode (UTF-8)
-
-
-
-@article{harrison:apa2019a,
- Author = {Neil Harrison and Marcelo Jaime},
- Date-Added = {2019-08-05 15:23:30 -0400},
- Date-Modified = {2019-08-05 15:24:17 -0400},
- Journal = {arXiv preprint arXiv:1902.06588},
- Title = {Hidden valence transition in URu2Si2?},
- Year = {2019},
- Bdsk-File-1 = {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}}
-
-@article{ikeda:np2012a,
- Author = {Ikeda, Hiroaki and Suzuki, Michi-To and Arita, Ryotaro and Takimoto, Tetsuya and Shibauchi, Takasada and Matsuda, Yuji},
- Date = {2012/06/03/online},
- Date-Added = {2019-08-05 15:21:55 -0400},
- Date-Modified = {2019-08-05 15:22:06 -0400},
- Day = {03},
- Journal = {Nature Physics},
- Keywords = {URu2Si2},
- L3 = {10.1038/nphys2330; https://www.nature.com/articles/nphys2330#supplementary-information},
- Month = {06},
- Pages = {528 EP -},
- Publisher = {Nature Publishing Group SN -},
- Title = {Emergent rank-5 nematic order in URu2Si2},
- Ty = {JOUR},
- Url = {https://doi.org/10.1038/nphys2330},
- Volume = {8},
- Year = {2012},
- Bdsk-Url-1 = {https://doi.org/10.1038/nphys2330},
- Bdsk-File-1 = {YnBsaXN0MDDSAQIDBFxyZWxhdGl2ZVBhdGhZYWxpYXNEYXRhXxBFZG9jcy9pa2VkYS9pa2VkYV8oMjAxMmEpX2VtZXJnZW50IHJhbmstNSBuZW1hdGljIG9yZGVyIGluIHVydTJzaTIucGRmTxECNgAAAAACNgACAAAMTWFjaW50b3NoIEhEAAAAAAAAAAAAAAAAAAAAAAAAAEJEAAH/////H2lrZWRhXygyMDEyYSlfZW1lciNGRkZGRkZGRi5wZGYAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP////8AAAAAAAAAAAAAAAAAAQAEAAAKIGN1AAAAAAAAAAAAAAAAAAVpa2VkYQAAAgBzLzpVc2VyczptaWNoYWVsbWF0dHk6RHJvcGJveDpjaXRhdGlvbl9saWJyYXJ5OmRvY3M6aWtlZGE6aWtlZGFfKDIwMTJhKV9lbWVyZ2VudCByYW5rLTUgbmVtYXRpYyBvcmRlciBpbiB1cnUyc2kyLnBkZgAADgB2ADoAaQBrAGUAZABhAF8AKAAyADAAMQAyAGEAKQBfAGUAbQBlAHIAZwBlAG4AdAAgAHIAYQBuAGsALQA1ACAAbgBlAG0AYQB0AGkAYwAgAG8AcgBkAGUAcgAgAGkAbgAgAHUAcgB1ADIAcwBpADIALgBwAGQAZgAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAHFVc2Vycy9taWNoYWVsbWF0dHkvRHJvcGJveC9jaXRhdGlvbl9saWJyYXJ5L2RvY3MvaWtlZGEvaWtlZGFfKDIwMTJhKV9lbWVyZ2VudCByYW5rLTUgbmVtYXRpYyBvcmRlciBpbiB1cnUyc2kyLnBkZgAAEwABLwAAFQACABP//wAAAAgADQAaACQAbAAAAAAAAAIBAAAAAAAAAAUAAAAAAAAAAAAAAAAAAAKm}}
-
-@article{zhang:apa2018a,
- Author = {Zhang, Yi and Mesaros, A and Fujita, K and Edkins, SD and Hamidian, MH and Ch'ng, K and Eisaki, H and Uchida, S and Davis, JC and Khatami, E and others},
- Date-Added = {2019-06-19 12:29:40 -0400},
- Date-Modified = {2019-06-19 12:29:42 -0400},
- Journal = {arXiv preprint arXiv:1808.00479},
- Title = {Using Machine Learning for Scientific Discovery in Electronic Quantum Matter Visualization Experiments},
- Year = {2018},
- Bdsk-File-1 = {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}}
-
-@article{ghosh:apa2019a,
- Author = {Ghosh, Sayak and Matty, Michael and Baumbach, Ryan and Bauer, Eric D and Modic, KA and Shekhter, Arkady and Mydosh, JA and Kim, Eun-Ah and Ramshaw, BJ},
- Date-Added = {2019-06-19 11:15:52 -0400},
- Date-Modified = {2019-06-19 11:16:01 -0400},
- Journal = {arXiv preprint arXiv:1903.00552},
- Keywords = {My Papers},
- Title = {Single-Component Order Parameter in URu $ \_2 $ Si $ \_2 $ Uncovered by Resonant Ultrasound Spectroscopy and Machine Learning},
- Year = {2019}}
-
-@article{matty:apa2019a,
- Author = {Matty, Michael and Zhang, Yi and Papic, Zlatko and Kim, Eun-Ah},
- Date-Added = {2019-06-19 10:52:09 -0400},
- Date-Modified = {2019-06-19 10:52:31 -0400},
- Journal = {arXiv preprint arXiv:1902.04079},
- Keywords = {My Papers},
- Title = {Multi-faceted machine learning of competing orders in disordered interacting systems},
- Year = {2019}}
-
-@article{kitaev:ap2006a,
- Abstract = {A spin-1/2 system on a honeycomb lattice is studied. The interactions between nearest neighbors are of XX, YY or ZZ type, depending on the direction of the link; different types of interactions may differ in strength. The model is solved exactly by a reduction to free fermions in a static Z2 gauge field. A phase diagram in the parameter space is obtained. One of the phases has an energy gap and carries excitations that are Abelian anyons. The other phase is gapless, but acquires a gap in the presence of magnetic field. In the latter case excitations are non-Abelian anyons whose braiding rules coincide with those of conformal blocks for the Ising model. We also consider a general theory of free fermions with a gapped spectrum, which is characterized by a spectral Chern number ν. The Abelian and non-Abelian phases of the original model correspond to ν=0 and ν=$\pm$1, respectively. The anyonic properties of excitation depend on ν mod 16, whereas ν itself governs edge thermal transport. The paper also provides mathematical background on anyons as well as an elementary theory of Chern number for quasidiagonal matrices.},
- Author = {Alexei Kitaev},
- Date-Added = {2019-06-18 16:39:26 -0400},
- Date-Modified = {2019-06-18 16:39:29 -0400},
- Doi = {https://doi.org/10.1016/j.aop.2005.10.005},
- Issn = {0003-4916},
- Journal = {Annals of Physics},
- Note = {January Special Issue},
- Number = {1},
- Pages = {2 - 111},
- Title = {Anyons in an exactly solved model and beyond},
- Url = {http://www.sciencedirect.com/science/article/pii/S0003491605002381},
- Volume = {321},
- Year = {2006},
- Bdsk-File-1 = {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},
- Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/S0003491605002381},
- Bdsk-Url-2 = {https://doi.org/10.1016/j.aop.2005.10.005}}
-
-@article{li:nc2018a,
- Abstract = {The key objective of scanning probe microscopy (SPM) techniques is the optimal representation of the nanoscale surface structure and functionality inferred from the dynamics of the cantilever. This is particularly pertinent today, as the SPM community has seen a rapidly growing trend towards simultaneous capture of multiple imaging channels and complex modes of operation involving high-dimensional information-rich datasets, bringing forward the challenges of visualization and analysis, particularly for cases where the underlying dynamic model is poorly understood. To meet this challenge, we present a data-driven approach, Graph-Bootstrapping, based on low-dimensional manifold learning of the full SPM spectra and demonstrate its successes for high-veracity mechanical mapping on a mixed polymer thin film and resolving irregular hydration structure of calcite at atomic resolution. Using the proposed methodology, we can efficiently reveal and hierarchically represent salient material features with rich local details, further enabling denoising, classification, and high-resolution functional imaging.},
- Author = {Li, Xin and Collins, Liam and Miyazawa, Keisuke and Fukuma, Takeshi and Jesse, Stephen and Kalinin, Sergei V.},
- Da = {2018/06/21},
- Date-Added = {2019-06-15 12:17:18 -0400},
- Date-Modified = {2019-06-15 12:17:27 -0400},
- Doi = {10.1038/s41467-018-04887-1},
- Id = {Li2018},
- Isbn = {2041-1723},
- Journal = {Nature Communications},
- Number = {1},
- Pages = {2428},
- Title = {High-veracity functional imaging in scanning probe microscopy via Graph-Bootstrapping},
- Ty = {JOUR},
- Url = {https://doi.org/10.1038/s41467-018-04887-1},
- Volume = {9},
- Year = {2018},
- Bdsk-File-1 = {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},
- Bdsk-Url-1 = {https://doi.org/10.1038/s41467-018-04887-1}}
-
-@article{haldane:prl1988a,
- Author = {Haldane, F. D. M.},
- Date-Added = {2019-06-06 11:52:24 -0400},
- Date-Modified = {2019-06-06 11:52:44 -0400},
- Doi = {10.1103/PhysRevLett.61.2015},
- Issue = {18},
- Journal = {Phys. Rev. Lett.},
- Keywords = {Chern Insulator},
- Month = {Oct},
- Numpages = {0},
- Pages = {2015--2018},
- Publisher = {American Physical Society},
- Title = {Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly"},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.61.2015},
- Volume = {61},
- Year = {1988},
- Bdsk-File-1 = {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},
- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevLett.61.2015},
- Bdsk-Url-2 = {https://doi.org/10.1103/PhysRevLett.61.2015}}
-
-@article{kung:s2015a,
- Abstract = {Cooling matter generally makes it more ordered and may induce dramatic transitions: Think of water becoming ice. With increased order comes loss of symmetry; water in its liquid form will look the same however you rotate it, whereas ice will not. Kung et al. studied the symmetry properties of a mysteriously ordered phase of the material URu2Si2 that appears at 17.5 K. They shone laser light on the crystal and studied the shifts in the frequency of the light. The electron orbitals of the uranium had a handedness to them that alternated between the atomic layers.Science, this issue p. 1339 A second-order phase transition in a physical system is associated with the emergence of an {\textquotedblleft}order parameter{\textquotedblright} and a spontaneous symmetry breaking. The heavy fermion superconductor URu2Si2 has a {\textquotedblleft}hidden order{\textquotedblright} (HO) phase below the temperature of 17.5 kelvin; the symmetry of the associated order parameter has remained ambiguous. Here we use polarization-resolved Raman spectroscopy to specify the symmetry of the low-energy excitations above and below the HO transition. We determine that the HO parameter breaks local vertical and diagonal reflection symmetries at the uranium sites, resulting in crystal field states with distinct chiral properties, which order to a commensurate chirality density wave ground state.},
- Author = {Kung, H.-H. and Baumbach, R. E. and Bauer, E. D. and Thorsm{\o}lle, V. K. and Zhang, W.-L. and Haule, K. and Mydosh, J. A. and Blumberg, G.},
- Date-Added = {2019-06-03 16:40:55 -0400},
- Date-Modified = {2019-06-03 16:44:01 -0400},
- Doi = {10.1126/science.1259729},
- Eprint = {https://science.sciencemag.org/content/347/6228/1339.full.pdf},
- Issn = {0036-8075},
- Journal = {Science},
- Keywords = {URu2Si2, Raman, Experiment},
- Number = {6228},
- Pages = {1339--1342},
- Publisher = {American Association for the Advancement of Science},
- Title = {Chirality density wave of the {\textquotedblleft}hidden order{\textquotedblright} phase in URu2Si2},
- Url = {https://science.sciencemag.org/content/347/6228/1339},
- Volume = {347},
- Year = {2015},
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- Bdsk-Url-1 = {https://science.sciencemag.org/content/347/6228/1339},
- Bdsk-Url-2 = {https://doi.org/10.1126/science.1259729}}
-
-@article{lin:s2018a,
- Abstract = {Deep learning uses multilayered artificial neural networks to learn digitally from large datasets. It then performs advanced identification and classification tasks. To date, these multilayered neural networks have been implemented on a computer. Lin et al. demonstrate all-optical machine learning that uses passive optical components that can be patterned and fabricated with 3D-printing. Their hardware approach comprises stacked layers of diffractive optical elements analogous to an artificial neural network that can be trained to execute complex functions at the speed of light.Science, this issue p. 1004Deep learning has been transforming our ability to execute advanced inference tasks using computers. Here we introduce a physical mechanism to perform machine learning by demonstrating an all-optical diffractive deep neural network (D2NN) architecture that can implement various functions following the deep learning{\textendash}based design of passive diffractive layers that work collectively. We created 3D-printed D2NNs that implement classification of images of handwritten digits and fashion products, as well as the function of an imaging lens at a terahertz spectrum. Our all-optical deep learning framework can perform, at the speed of light, various complex functions that computer-based neural networks can execute; will find applications in all-optical image analysis, feature detection, and object classification; and will also enable new camera designs and optical components that perform distinctive tasks using D2NNs.},
- Author = {Lin, Xing and Rivenson, Yair and Yardimci, Nezih T. and Veli, Muhammed and Luo, Yi and Jarrahi, Mona and Ozcan, Aydogan},
- Date-Added = {2019-05-15 16:06:50 -0400},
- Date-Modified = {2019-05-15 16:06:53 -0400},
- Doi = {10.1126/science.aat8084},
- Eprint = {https://science.sciencemag.org/content/361/6406/1004.full.pdf},
- Issn = {0036-8075},
- Journal = {Science},
- Number = {6406},
- Pages = {1004--1008},
- Publisher = {American Association for the Advancement of Science},
- Title = {All-optical machine learning using diffractive deep neural networks},
- Url = {https://science.sciencemag.org/content/361/6406/1004},
- Volume = {361},
- Year = {2018},
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- Bdsk-Url-1 = {https://science.sciencemag.org/content/361/6406/1004},
- Bdsk-Url-2 = {https://doi.org/10.1126/science.aat8084}}
-
-@article{nguyen:oe2018a,
- Abstract = {Convolutional neural networks (CNNs) have gained tremendous success in solving complex inverse problems. The aim of this work is to develop a novel CNN framework to reconstruct video sequences of dynamic live cells captured using a computational microscopy technique, Fourier ptychographic microscopy (FPM). The unique feature of the FPM is its capability to reconstruct images with both wide field-of-view (FOV) and high resolution, i.e. a large space-bandwidth-product (SBP), by taking a series of low resolution intensity images. For live cell imaging, a single FPM frame contains thousands of cell samples with different morphological features. Our idea is to fully exploit the statistical information provided by these large spatial ensembles so as to make predictions in a sequential measurement, without using any additional temporal dataset. Specifically, we show that it is possible to reconstruct high-SBP dynamic cell videos by a CNN trained only on the first FPM dataset captured at the beginning of a time-series experiment. Our CNN approach reconstructs a 12800\&\#x000D7;10800 pixel phase image using only \&\#x0223C;25 seconds, a 50\&\#x000D7; speedup compared to the model-based FPM algorithm. In addition, the CNN further reduces the required number of images in each time frame by \&\#x0223C; 6\&\#x000D7;. Overall, this significantly improves the imaging throughput by reducing both the acquisition and computational times. The proposed CNN is based on the conditional generative adversarial network (cGAN) framework. We further propose a mixed loss function that combines the standard image domain loss and a weighted Fourier domain loss, which leads to improved reconstruction of the high frequency information. Additionally, we also exploit transfer learning so that our pre-trained CNN can be further optimized to image other cell types. Our technique demonstrates a promising deep learning approach to continuously monitor large live-cell populations over an extended time and gather useful spatial and temporal information with sub-cellular resolution.},
- Author = {Thanh Nguyen and Yujia Xue and Yunzhe Li and Lei Tian and George Nehmetallah},
- Date-Added = {2019-05-15 16:05:25 -0400},
- Date-Modified = {2019-05-15 16:05:28 -0400},
- Doi = {10.1364/OE.26.026470},
- Journal = {Opt. Express},
- Keywords = {Image processing; Image reconstruction; Imaging techniques; Medical imaging; Optical transfer functions; Phase noise},
- Month = {Oct},
- Number = {20},
- Pages = {26470--26484},
- Publisher = {OSA},
- Title = {Deep learning approach for Fourier ptychography microscopy},
- Url = {http://www.opticsexpress.org/abstract.cfm?URI=oe-26-20-26470},
- Volume = {26},
- Year = {2018},
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- Bdsk-Url-1 = {http://www.opticsexpress.org/abstract.cfm?URI=oe-26-20-26470},
- Bdsk-Url-2 = {https://doi.org/10.1364/OE.26.026470}}
-
-@article{kane:prl2005a,
- Author = {Kane, C. L. and Mele, E. J.},
- Date-Added = {2019-04-09 13:15:14 -0400},
- Date-Modified = {2019-04-09 13:15:46 -0400},
- Doi = {10.1103/PhysRevLett.95.226801},
- Issue = {22},
- Journal = {Phys. Rev. Lett.},
- Keywords = {Kane Mele Model},
- Month = {Nov},
- Numpages = {4},
- Pages = {226801},
- Publisher = {American Physical Society},
- Title = {Quantum Spin Hall Effect in Graphene},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.95.226801},
- Volume = {95},
- Year = {2005},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevLett.95.226801},
- Bdsk-Url-2 = {https://doi.org/10.1103/PhysRevLett.95.226801}}
-
-@article{Bunn2016,
- Abstract = {Manual attribution of crystallographic phases from high-throughput x-ray diffraction studies is an arduous task, and represents a rate-limiting step in high-throughput exploration of new materials. Here, we demonstrate a semi-supervised machine learning technique, SS-AutoPhase, which uses a two-step approach to identify automatically phases from diffraction data. First, clustering analysis is used to select a representative subset of samples automatically for human analysis. Second, an AdaBoost classifier uses the labeled samples to identify the presence of the different phases in diffraction data. SS-AutoPhase was used to identify the metallographic phases in 278 diffraction patterns from a FeGaPd composition spread sample. The accuracy of SS-AutoPhase was >82.6{\%} for all phases when 15{\%} of the diffraction patterns were used for training. The SS-AutoPhase predicted phase diagram showed excellent agreement with human expert analysis. Furthermore it was able to determine and identify correctly a previously unreported phase.},
- Author = {Bunn, Jonathan Kenneth and Hu, Jianjun and Hattrick-Simpers, Jason R.},
- Date-Added = {2019-01-23 19:54:44 +0000},
- Date-Modified = {2019-01-23 19:59:34 +0000},
- Day = {01},
- Doi = {10.1007/s11837-016-2033-8},
- Issn = {1543-1851},
- Journal = {JOM},
- Keywords = {Machine Learning},
- Month = {Aug},
- Number = {8},
- Pages = {2116--2125},
- Title = {Semi-Supervised Approach to Phase Identification from Combinatorial Sample Diffraction Patterns},
- Url = {https://doi.org/10.1007/s11837-016-2033-8},
- Volume = {68},
- Year = {2016},
- Bdsk-Url-1 = {https://doi.org/10.1007/s11837-016-2033-8}}
-
-@article{kusne:sr2014a,
- Author = {Kusne, Aaron Gilad and Gao, Tieren and Mehta, Apurva and Ke, Liqin and Nguyen, Manh Cuong and Ho, Kai-Ming and Antropov, Vladimir and Wang, Cai-Zhuang and Kramer, Matthew J. and Long, Christian and Takeuchi, Ichiro},
- Date = {2014/09/15/online},
- Date-Added = {2019-01-23 19:15:57 +0000},
- Date-Modified = {2019-01-23 19:16:11 +0000},
- Day = {15},
- Journal = {Scientific Reports},
- Keywords = {Machine Learning, Experiment},
- L3 = {10.1038/srep06367; https://www.nature.com/articles/srep06367#supplementary-information},
- M3 = {Article},
- Month = {09},
- Pages = {6367 EP -},
- Publisher = {The Author(s) SN -},
- Title = {On-the-fly machine-learning for high-throughput experiments: search for rare-earth-free permanent magnets},
- Ty = {JOUR},
- Url = {https://doi.org/10.1038/srep06367},
- Volume = {4},
- Year = {2014},
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- Bdsk-Url-1 = {https://doi.org/10.1038/srep06367}}
-
-@article{rasmussen:n2006a,
- Author = {C. E. Rasmussen and C. K. I. Williams},
- Date-Added = {2019-01-22 20:16:39 +0000},
- Date-Modified = {2019-01-22 20:17:31 +0000},
- Journal = {MIT Press},
- Keywords = {Notes, Machine Learning},
- Title = {Gaussian Processes for Machine Learning},
- Year = {2006},
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-
-@article{ajayan:pt2016a,
- Author = {Pulickel Ajayan and Philip Kim and Kaustav Banerjee},
- Date-Added = {2019-01-22 16:48:55 +0000},
- Date-Modified = {2019-01-22 16:50:23 +0000},
- Journal = {Physics Today},
- Keywords = {Materials},
- Title = {Two-dimensional van der Waals materials},
- Year = {2016},
- Bdsk-File-1 = {YnBsaXN0MDDSAQIDBFxyZWxhdGl2ZVBhdGhZYWxpYXNEYXRhXxBGZG9jcy9hamF5YW4vYWpheWFuXygyMDE2YSlfdHdvLWRpbWVuc2lvbmFsIHZhbiBkZXIgd2FhbHMgbWF0ZXJpYWxzLnBkZk8RAjYAAAAAAjYAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAAAAAABCRAAB/////x9hamF5YW5fKDIwMTZhKV90d28jRkZGRkZGRkYucGRmAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD/////AAAAAAAAAAAAAAAAAAEABAAACiBjdQAAAAAAAAAAAAAAAAAGYWpheWFuAAIAdC86VXNlcnM6bWljaGFlbG1hdHR5OkRyb3Bib3g6Y2l0YXRpb25fbGlicmFyeTpkb2NzOmFqYXlhbjphamF5YW5fKDIwMTZhKV90d28tZGltZW5zaW9uYWwgdmFuIGRlciB3YWFscyBtYXRlcmlhbHMucGRmAA4AdgA6AGEAagBhAHkAYQBuAF8AKAAyADAAMQA2AGEAKQBfAHQAdwBvAC0AZABpAG0AZQBuAHMAaQBvAG4AYQBsACAAdgBhAG4AIABkAGUAcgAgAHcAYQBhAGwAcwAgAG0AYQB0AGUAcgBpAGEAbABzAC4AcABkAGYADwAaAAwATQBhAGMAaQBuAHQAbwBzAGgAIABIAEQAEgByVXNlcnMvbWljaGFlbG1hdHR5L0Ryb3Bib3gvY2l0YXRpb25fbGlicmFyeS9kb2NzL2FqYXlhbi9hamF5YW5fKDIwMTZhKV90d28tZGltZW5zaW9uYWwgdmFuIGRlciB3YWFscyBtYXRlcmlhbHMucGRmABMAAS8AABUAAgAT//8AAAAIAA0AGgAkAG0AAAAAAAACAQAAAAAAAAAFAAAAAAAAAAAAAAAAAAACpw==}}
-
-@article{jiang:n2018a,
- Abstract = {Aberration-corrected optics have made electron microscopy at atomic resolution a widespread and often essential tool for characterizing nanoscale structures. Image resolution has traditionally been improved by increasing the numerical aperture of the lens (α) and the beam energy, with the state-of-the-art at 300 kiloelectronvolts just entering the deep sub-{\aa}ngstr{\"o}m (that is, less than 0.5 {\aa}ngstr{\"o}m) regime. Two-dimensional (2D) materials are imaged at lower beam energies to avoid displacement damage from large momenta transfers, limiting spatial resolution to about 1 {\aa}ngstr{\"o}m. Here, by combining an electron microscope pixel-array detector with the dynamic range necessary to record the complete distribution of transmitted electrons and full-field ptychography to recover phase information from the full phase space, we increase the spatial resolution well beyond the traditional numerical-aperture-limited resolution. At a beam energy of 80 kiloelectronvolts, our ptychographic reconstruction improves the image contrast of single-atom defects in MoS2 substantially, reaching an information limit close to 5α, which corresponds to an Abbe diffraction-limited resolution of 0.39 {\aa}ngstr{\"o}m, at the electron dose and imaging conditions for which conventional imaging methods reach only 0.98 {\aa}ngstr{\"o}m.},
- Author = {Jiang, Yi and Chen, Zhen and Han, Yimo and Deb, Pratiti and Gao, Hui and Xie, Saien and Purohit, Prafull and Tate, Mark W. and Park, Jiwoong and Gruner, Sol M. and Elser, Veit and Muller, David A.},
- Da = {2018/07/01},
- Date-Added = {2019-01-21 23:54:11 +0000},
- Date-Modified = {2019-01-21 23:54:34 +0000},
- Doi = {10.1038/s41586-018-0298-5},
- Id = {Jiang2018},
- Isbn = {1476-4687},
- Journal = {Nature},
- Keywords = {STEM},
- Number = {7714},
- Pages = {343--349},
- Title = {Electron ptychography of 2D materials to deep sub-{\aa}ngstr{\"o}m resolution},
- Ty = {JOUR},
- Url = {https://doi.org/10.1038/s41586-018-0298-5},
- Volume = {559},
- Year = {2018},
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- Bdsk-Url-1 = {https://doi.org/10.1038/s41586-018-0298-5}}
-
-@article{metlitski:ap2015a,
- Author = {Max A. Metlitski and Tarun Grover},
- Date-Added = {2018-12-18 01:07:40 +0000},
- Date-Modified = {2018-12-18 01:14:34 +0000},
- Journal = {arXiv preprint},
- Title = {Entanglement Entropy of Systems with Spontaneously Broken Continuous Symmetry},
- Year = {2015},
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-
-@article{pavarini:fj2017a,
- Author = {Eva Pavarini and Erik Koch and Richard Scalettar and and Richard Martin},
- Date-Added = {2018-09-11 18:51:45 +0000},
- Date-Modified = {2018-09-11 18:54:36 +0000},
- Journal = {Forschungszentrum J{\"u}lich},
- Keywords = {Notes},
- Title = {The Physics of Correlated Insulators, Metals, and Superconductors The Physics of Correlated Insulators, Metals, and Superconductors The Physics of Correlated Insulators, Metals, and Superconductors},
- Year = {2017},
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-
-@article{pavarini:fj2015a,
- Author = {Eva Pavarini and Erik Koch and Piers Coleman},
- Date-Added = {2018-08-29 16:19:51 +0000},
- Date-Modified = {2018-08-29 16:21:46 +0000},
- Journal = {Forschungszentrum J{\"u}lich},
- Keywords = {Notes},
- Title = {Many-body physics: from Kondo to Hubbard},
- Year = {2015},
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-
-@article{eisert:rmp2010a,
- Author = {Eisert, J. and Cramer, M. and Plenio, M. B.},
- Date-Added = {2018-08-27 17:39:35 +0000},
- Date-Modified = {2018-08-27 17:39:54 +0000},
- Doi = {10.1103/RevModPhys.82.277},
- Issue = {1},
- Journal = {Rev. Mod. Phys.},
- Keywords = {Entanglement Entropy},
- Month = {Feb},
- Numpages = {0},
- Pages = {277--306},
- Publisher = {American Physical Society},
- Title = {Colloquium: Area laws for the entanglement entropy},
- Url = {https://link.aps.org/doi/10.1103/RevModPhys.82.277},
- Volume = {82},
- Year = {2010},
- Bdsk-File-1 = {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},
- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/RevModPhys.82.277},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/RevModPhys.82.277}}
-
-@article{coleman:n2007a,
- Author = {Piers Coleman},
- Date-Added = {2018-08-27 02:12:27 +0000},
- Date-Modified = {2018-08-27 02:13:34 +0000},
- Journal = {Coleman Notes},
- Keywords = {Notes},
- Title = {Heavy Fermions: Electrons at the Edge of Magnetism},
- Year = {2007},
- Bdsk-File-1 = {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}}
-
-@article{kambe:pr2018a,
- Author = {Kambe, S. and Tokunaga, Y. and Sakai, H. and Hattori, T. and Higa, N. and Matsuda, T. D. and Haga, Y. and Walstedt, R. E. and Harima, H.},
- Date-Added = {2018-08-24 03:03:26 +0000},
- Date-Modified = {2018-08-24 03:04:55 +0000},
- Doi = {10.1103/PhysRevB.97.235142},
- Issue = {23},
- Journal = {Phys. Rev. B},
- Keywords = {URu2Si2},
- Month = {Jun},
- Numpages = {10},
- Pages = {235142},
- Publisher = {American Physical Society},
- Title = {Odd-parity electronic multipolar ordering in ${\mathrm{URu}}_{2}{\mathrm{Si}}_{2}$: Conclusions from Si and Ru NMR measurements},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.97.235142},
- Volume = {97},
- Year = {2018},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.97.235142},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevB.97.235142}}
-
-@article{sun:pr2018a,
- Author = {Sun, Ning and Yi, Jinmin and Zhang, Pengfei and Shen, Huitao and Zhai, Hui},
- Date-Added = {2018-08-17 20:07:02 +0000},
- Date-Modified = {2018-08-17 20:07:47 +0000},
- Doi = {10.1103/PhysRevB.98.085402},
- Issue = {8},
- Journal = {Phys. Rev. B},
- Keywords = {Machine Learning, Disordered FQH Paper},
- Month = {Aug},
- Numpages = {7},
- Pages = {085402},
- Publisher = {American Physical Society},
- Title = {Deep learning topological invariants of band insulators},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.98.085402},
- Volume = {98},
- Year = {2018},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.98.085402},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevB.98.085402}}
-
-@article{zhang:prl2018a,
- Author = {Zhang, Pengfei and Shen, Huitao and Zhai, Hui},
- Date-Added = {2018-08-17 19:20:14 +0000},
- Date-Modified = {2018-08-17 19:20:48 +0000},
- Doi = {10.1103/PhysRevLett.120.066401},
- Issue = {6},
- Journal = {Phys. Rev. Lett.},
- Keywords = {Machine Learning, Disordered FQH Paper},
- Month = {Feb},
- Numpages = {6},
- Pages = {066401},
- Publisher = {American Physical Society},
- Title = {Machine Learning Topological Invariants with Neural Networks},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.120.066401},
- Volume = {120},
- Year = {2018},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevLett.120.066401},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevLett.120.066401}}
-
-@article{torlai:np2018a,
- Abstract = {The experimental realization of increasingly complex synthetic quantum systems calls for the development of general theoretical methods to validate and fully exploit quantum resources. Quantum state tomography (QST) aims to reconstruct the full quantum state from simple measurements, and therefore provides a key tool to obtain reliable analytics1--3. However, exact brute-force approaches to QST place a high demand on computational resources, making them unfeasible for anything except small systems4,5. Here we show how machine learning techniques can be used to perform QST of highly entangled states with more than a hundred qubits, to a high degree of accuracy. We demonstrate that machine learning allows one to reconstruct traditionally challenging many-body quantities---such as the entanglement entropy---from simple, experimentally accessible measurements. This approach can benefit existing and future generations of devices ranging from quantum computers to ultracold-atom quantum simulators6--8.},
- Author = {Torlai, Giacomo and Mazzola, Guglielmo and Carrasquilla, Juan and Troyer, Matthias and Melko, Roger and Carleo, Giuseppe},
- Da = {2018/05/01},
- Date-Added = {2018-08-17 19:15:04 +0000},
- Date-Modified = {2018-08-17 19:15:46 +0000},
- Doi = {10.1038/s41567-018-0048-5},
- Id = {Torlai2018},
- Isbn = {1745-2481},
- Journal = {Nature Physics},
- Keywords = {Machine Learning, Disordered FQH Paper},
- Number = {5},
- Pages = {447--450},
- Title = {Neural-network quantum state tomography},
- Ty = {JOUR},
- Url = {https://doi.org/10.1038/s41567-018-0048-5},
- Volume = {14},
- Year = {2018},
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- Bdsk-Url-1 = {https://doi.org/10.1038/s41567-018-0048-5}}
-
-@article{gao:nc2017a,
- Abstract = {Part of the challenge for quantum many-body problems comes from the difficulty of representing large-scale quantum states, which in general requires an exponentially large number of parameters. Neural networks provide a powerful tool to represent quantum many-body states. An important open question is what characterizes the representational power of deep and shallow neural networks, which is of fundamental interest due to the popularity of deep learning methods. Here, we give a proof that, assuming a widely believed computational complexity conjecture, a deep neural network can efficiently represent most physical states, including the ground states of many-body Hamiltonians and states generated by quantum dynamics, while a shallow network representation with a restricted Boltzmann machine cannot efficiently represent some of those states.},
- Author = {Gao, Xun and Duan, Lu-Ming},
- Da = {2017/09/22},
- Date-Added = {2018-08-17 19:05:24 +0000},
- Date-Modified = {2018-08-17 19:05:51 +0000},
- Doi = {10.1038/s41467-017-00705-2},
- Id = {Gao2017},
- Isbn = {2041-1723},
- Journal = {Nature Communications},
- Keywords = {Machine Learning, Disordered FQH Paper},
- Number = {1},
- Pages = {662},
- Title = {Efficient representation of quantum many-body states with deep neural networks},
- Ty = {JOUR},
- Url = {https://doi.org/10.1038/s41467-017-00705-2},
- Volume = {8},
- Year = {2017},
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- Bdsk-Url-1 = {https://doi.org/10.1038/s41467-017-00705-2}}
-
-@article{nomura:pr2017a,
- Author = {Nomura, Yusuke and Darmawan, Andrew S. and Yamaji, Youhei and Imada, Masatoshi},
- Date-Added = {2018-08-17 19:00:10 +0000},
- Date-Modified = {2018-08-17 19:01:51 +0000},
- Doi = {10.1103/PhysRevB.96.205152},
- Issue = {20},
- Journal = {Phys. Rev. B},
- Keywords = {Machine Learning, Disordered FQH Paper},
- Month = {Nov},
- Numpages = {8},
- Pages = {205152},
- Publisher = {American Physical Society},
- Title = {Restricted Boltzmann machine learning for solving strongly correlated quantum systems},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.96.205152},
- Volume = {96},
- Year = {2017},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.96.205152},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevB.96.205152}}
-
-@article{huang:ap2017a,
- Author = {Yichen Huang and Joel E. Moore},
- Date-Added = {2018-08-17 18:55:03 +0000},
- Date-Modified = {2018-08-17 18:56:58 +0000},
- Journal = {arXiv preprint},
- Keywords = {Disordered FQH Paper, Machine Learning},
- Month = {January},
- Number = {1701.06246},
- Title = {Neural network representation of tensor network and chiral states},
- Year = {2017},
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-
-@article{cai:pr2018a,
- Author = {Cai, Zi and Liu, Jinguo},
- Date-Added = {2018-08-17 18:42:22 +0000},
- Date-Modified = {2018-08-17 18:42:34 +0000},
- Doi = {10.1103/PhysRevB.97.035116},
- Issue = {3},
- Journal = {Phys. Rev. B},
- Keywords = {Machine Learning, Disordered FQH Paper},
- Month = {Jan},
- Numpages = {8},
- Pages = {035116},
- Publisher = {American Physical Society},
- Title = {Approximating quantum many-body wave functions using artificial neural networks},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.97.035116},
- Volume = {97},
- Year = {2018},
- Bdsk-File-1 = {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},
- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.97.035116},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevB.97.035116}}
-
-@article{schmitt:sp2018a,
- Author = {Markus Schmitt and Markus Heyl},
- Date-Added = {2018-08-17 18:27:26 +0000},
- Date-Modified = {2018-08-17 18:28:00 +0000},
- Doi = {10.21468/SciPostPhys.4.2.013},
- Issue = {2},
- Journal = {SciPost Phys.},
- Keywords = {Machine Learning, Disordered FQH Paper},
- Pages = {013},
- Publisher = {SciPost},
- Title = {{Quantum dynamics in transverse-field Ising models from classical networks}},
- Url = {https://scipost.org/10.21468/SciPostPhys.4.2.013},
- Volume = {4},
- Year = {2018},
- Bdsk-File-1 = {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},
- Bdsk-Url-1 = {https://scipost.org/10.21468/SciPostPhys.4.2.013},
- Bdsk-Url-2 = {https://dx.doi.org/10.21468/SciPostPhys.4.2.013}}
-
-@article{yoshioka:pr2018a,
- Author = {Yoshioka, Nobuyuki and Akagi, Yutaka and Katsura, Hosho},
- Date-Added = {2018-08-17 18:20:05 +0000},
- Date-Modified = {2018-08-17 18:20:33 +0000},
- Doi = {10.1103/PhysRevB.97.205110},
- Issue = {20},
- Journal = {Phys. Rev. B},
- Keywords = {Machine Learning, Disordered FQH Paper},
- Month = {May},
- Numpages = {9},
- Pages = {205110},
- Publisher = {American Physical Society},
- Title = {Learning disordered topological phases by statistical recovery of symmetry},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.97.205110},
- Volume = {97},
- Year = {2018},
- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.97.205110},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevB.97.205110}}
-
-@article{beach:pr2018a,
- Author = {Beach, Matthew J. S. and Golubeva, Anna and Melko, Roger G.},
- Date-Added = {2018-08-17 18:16:36 +0000},
- Date-Modified = {2018-08-17 18:17:41 +0000},
- Doi = {10.1103/PhysRevB.97.045207},
- Issue = {4},
- Journal = {Phys. Rev. B},
- Keywords = {Machine Learning, Disordered FQH Paper},
- Month = {Jan},
- Numpages = {8},
- Pages = {045207},
- Publisher = {American Physical Society},
- Title = {Machine learning vortices at the Kosterlitz-Thouless transition},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.97.045207},
- Volume = {97},
- Year = {2018},
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-
-@article{schindler:pr2017a,
- Author = {Schindler, Frank and Regnault, Nicolas and Neupert, Titus},
- Date-Added = {2018-08-17 18:13:59 +0000},
- Date-Modified = {2018-08-17 18:14:48 +0000},
- Doi = {10.1103/PhysRevB.95.245134},
- Issue = {24},
- Journal = {Phys. Rev. B},
- Keywords = {Machine Learning, Many Body Localization, Disordered FQH Paper},
- Month = {Jun},
- Numpages = {11},
- Pages = {245134},
- Publisher = {American Physical Society},
- Title = {Probing many-body localization with neural networks},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.95.245134},
- Volume = {95},
- Year = {2017},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.95.245134},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevB.95.245134}}
-
-@article{chng:pr2017a,
- Author = {Ch'ng, Kelvin and Carrasquilla, Juan and Melko, Roger G. and Khatami, Ehsan},
- Date-Added = {2018-08-17 18:11:16 +0000},
- Date-Modified = {2018-08-17 18:11:54 +0000},
- Doi = {10.1103/PhysRevX.7.031038},
- Issue = {3},
- Journal = {Phys. Rev. X},
- Keywords = {Machine Learning, Disordered FQH Paper},
- Month = {Aug},
- Numpages = {9},
- Pages = {031038},
- Publisher = {American Physical Society},
- Title = {Machine Learning Phases of Strongly Correlated Fermions},
- Url = {https://link.aps.org/doi/10.1103/PhysRevX.7.031038},
- Volume = {7},
- Year = {2017},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevX.7.031038},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevX.7.031038}}
-
-@article{liu:prl2018a,
- Author = {Liu, Ye-Hua and van Nieuwenburg, Evert P. L.},
- Date-Added = {2018-08-17 18:06:50 +0000},
- Date-Modified = {2018-08-17 18:07:36 +0000},
- Doi = {10.1103/PhysRevLett.120.176401},
- Issue = {17},
- Journal = {Phys. Rev. Lett.},
- Keywords = {Machine Learning, Disordered FQH Paper},
- Month = {Apr},
- Numpages = {6},
- Pages = {176401},
- Publisher = {American Physical Society},
- Title = {Discriminative Cooperative Networks for Detecting Phase Transitions},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.120.176401},
- Volume = {120},
- Year = {2018},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevLett.120.176401},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevLett.120.176401}}
-
-@article{nieuwenburg:pr2018a,
- Author = {van Nieuwenburg, Evert and Bairey, Eyal and Refael, Gil},
- Date-Added = {2018-08-17 17:52:20 +0000},
- Date-Modified = {2018-08-17 17:52:37 +0000},
- Doi = {10.1103/PhysRevB.98.060301},
- Issue = {6},
- Journal = {Phys. Rev. B},
- Keywords = {Machine Learning, Disordered FQH Paper},
- Month = {Aug},
- Numpages = {5},
- Pages = {060301},
- Publisher = {American Physical Society},
- Title = {Learning phase transitions from dynamics},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.98.060301},
- Volume = {98},
- Year = {2018},
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-
-@article{laughlin:prl1983a,
- Author = {Laughlin, R. B.},
- Date-Added = {2018-08-17 16:31:38 +0000},
- Date-Modified = {2018-08-17 16:32:06 +0000},
- Doi = {10.1103/PhysRevLett.50.1395},
- Issue = {18},
- Journal = {Phys. Rev. Lett.},
- Keywords = {Fractional Quantum Hall, Disordered FQH Paper},
- Month = {May},
- Numpages = {0},
- Pages = {1395--1398},
- Publisher = {American Physical Society},
- Title = {Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.50.1395},
- Volume = {50},
- Year = {1983},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevLett.50.1395},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevLett.50.1395}}
-
-@article{fano:pr1986a,
- Author = {Fano, G. and Ortolani, F. and Colombo, E.},
- Date-Added = {2018-08-17 16:30:00 +0000},
- Date-Modified = {2018-08-17 16:30:29 +0000},
- Doi = {10.1103/PhysRevB.34.2670},
- Issue = {4},
- Journal = {Phys. Rev. B},
- Keywords = {Fractional Quantum Hall, Disordered FQH Paper},
- Month = {Aug},
- Numpages = {0},
- Pages = {2670--2680},
- Publisher = {American Physical Society},
- Title = {Configuration-interaction calculations on the fractional quantum Hall effect},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.34.2670},
- Volume = {34},
- Year = {1986},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.34.2670},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevB.34.2670}}
-
-@article{prodan:prl2010a,
- Author = {Prodan, Emil and Hughes, Taylor L. and Bernevig, B. Andrei},
- Date-Added = {2018-08-17 16:26:19 +0000},
- Date-Modified = {2018-08-17 16:26:59 +0000},
- Doi = {10.1103/PhysRevLett.105.115501},
- Issue = {11},
- Journal = {Phys. Rev. Lett.},
- Keywords = {Disorder, Entanglement Spectrum, Disordered FQH Paper},
- Month = {Sep},
- Numpages = {4},
- Pages = {115501},
- Publisher = {American Physical Society},
- Title = {Entanglement Spectrum of a Disordered Topological Chern Insulator},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.105.115501},
- Volume = {105},
- Year = {2010},
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-
-@article{qi:prl2012a,
- Author = {Qi, Xiao-Liang and Katsura, Hosho and Ludwig, Andreas W. W.},
- Date-Added = {2018-08-17 16:24:51 +0000},
- Date-Modified = {2018-08-17 16:25:22 +0000},
- Doi = {10.1103/PhysRevLett.108.196402},
- Issue = {19},
- Journal = {Phys. Rev. Lett.},
- Keywords = {Entanglement Spectrum, Disordered FQH Paper},
- Month = {May},
- Numpages = {5},
- Pages = {196402},
- Publisher = {American Physical Society},
- Title = {General Relationship between the Entanglement Spectrum and the Edge State Spectrum of Topological Quantum States},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.108.196402},
- Volume = {108},
- Year = {2012},
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- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevLett.108.196402}}
-
-@article{thomale:prl2010a,
- Author = {Thomale, R. and Sterdyniak, A. and Regnault, N. and Bernevig, B. Andrei},
- Date-Added = {2018-08-17 16:23:19 +0000},
- Date-Modified = {2018-08-17 16:23:53 +0000},
- Doi = {10.1103/PhysRevLett.104.180502},
- Issue = {18},
- Journal = {Phys. Rev. Lett.},
- Keywords = {Entanglement Spectrum, Disordered FQH Paper},
- Month = {May},
- Numpages = {4},
- Pages = {180502},
- Publisher = {American Physical Society},
- Title = {Entanglement Gap and a New Principle of Adiabatic Continuity},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.104.180502},
- Volume = {104},
- Year = {2010},
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- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevLett.104.180502}}
-
-@article{li:prl2008a,
- Author = {Li, Hui and Haldane, F. D. M.},
- Date-Added = {2018-08-17 16:21:22 +0000},
- Date-Modified = {2018-08-17 16:22:00 +0000},
- Doi = {10.1103/PhysRevLett.101.010504},
- Issue = {1},
- Journal = {Phys. Rev. Lett.},
- Keywords = {Entanglement Spectrum, Fractional Quantum Hall, Disordered FQH Paper},
- Month = {Jul},
- Numpages = {4},
- Pages = {010504},
- Publisher = {American Physical Society},
- Title = {Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.101.010504},
- Volume = {101},
- Year = {2008},
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-
-@article{wan:pr2005a,
- Author = {Wan, Xin and Sheng, D. N. and Rezayi, E. H. and Yang, Kun and Bhatt, R. N. and Haldane, F. D. M.},
- Date-Added = {2018-08-17 16:17:38 +0000},
- Date-Modified = {2018-08-17 16:18:06 +0000},
- Doi = {10.1103/PhysRevB.72.075325},
- Issue = {7},
- Journal = {Phys. Rev. B},
- Keywords = {Disordered FQH Paper, Fractional Quantum Hall, Disorder},
- Month = {Aug},
- Numpages = {12},
- Pages = {075325},
- Publisher = {American Physical Society},
- Title = {Mobility gap in fractional quantum Hall liquids: Effects of disorder and layer thickness},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.72.075325},
- Volume = {72},
- Year = {2005},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.72.075325},
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-
-@article{ohtsuki:jpsj2016a,
- Author = {Ohtsuki ,Tomoki and Ohtsuki ,Tomi},
- Date-Added = {2018-08-17 16:13:48 +0000},
- Date-Modified = {2018-08-17 17:27:51 +0000},
- Doi = {10.7566/JPSJ.85.123706},
- Eprint = {https://doi.org/10.7566/JPSJ.85.123706},
- Journal = {Journal of the Physical Society of Japan},
- Keywords = {Machine Learning, Disordered FQH Paper},
- Number = {12},
- Pages = {123706},
- Title = {Deep Learning the Quantum Phase Transitions in Random Two-Dimensional Electron Systems},
- Url = {https://doi.org/10.7566/JPSJ.85.123706},
- Volume = {85},
- Year = {2016},
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- Bdsk-Url-1 = {https://doi.org/10.7566/JPSJ.85.123706}}
-
-@article{deng:pr2017b,
- Author = {Deng, Dong-Ling and Li, Xiaopeng and Das Sarma, S.},
- Date-Added = {2018-08-17 16:09:47 +0000},
- Date-Modified = {2018-08-17 16:11:30 +0000},
- Doi = {10.1103/PhysRevB.96.195145},
- Issue = {19},
- Journal = {Phys. Rev. B},
- Keywords = {Machine Learning, Disordered FQH Paper},
- Month = {Nov},
- Numpages = {11},
- Pages = {195145},
- Publisher = {American Physical Society},
- Title = {Machine learning topological states},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.96.195145},
- Volume = {96},
- Year = {2017},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.96.195145},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevB.96.195145}}
-
-@article{deng:pr2017a,
- Author = {Deng, Dong-Ling and Li, Xiaopeng and Das Sarma, S.},
- Date-Added = {2018-08-17 16:06:51 +0000},
- Date-Modified = {2018-08-17 16:07:03 +0000},
- Doi = {10.1103/PhysRevX.7.021021},
- Issue = {2},
- Journal = {Phys. Rev. X},
- Keywords = {Machine Learning, Disordered FQH Paper},
- Month = {May},
- Numpages = {17},
- Pages = {021021},
- Publisher = {American Physical Society},
- Title = {Quantum Entanglement in Neural Network States},
- Url = {https://link.aps.org/doi/10.1103/PhysRevX.7.021021},
- Volume = {7},
- Year = {2017},
- Bdsk-File-1 = {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},
- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevX.7.021021},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevX.7.021021}}
-
-@article{chen:pr2018a,
- Author = {Chen, Jing and Cheng, Song and Xie, Haidong and Wang, Lei and Xiang, Tao},
- Date-Added = {2018-08-17 16:05:38 +0000},
- Date-Modified = {2018-08-17 16:06:10 +0000},
- Doi = {10.1103/PhysRevB.97.085104},
- Issue = {8},
- Journal = {Phys. Rev. B},
- Keywords = {Machine Learning, Disordered FQH Paper},
- Month = {Feb},
- Numpages = {16},
- Pages = {085104},
- Publisher = {American Physical Society},
- Title = {Equivalence of restricted Boltzmann machines and tensor network states},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.97.085104},
- Volume = {97},
- Year = {2018},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.97.085104},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevB.97.085104}}
-
-@article{zhang:pr2017a,
- Author = {Zhang, Yi and Melko, Roger G. and Kim, Eun-Ah},
- Date-Added = {2018-08-17 16:03:25 +0000},
- Date-Modified = {2018-08-17 16:04:06 +0000},
- Doi = {10.1103/PhysRevB.96.245119},
- Issue = {24},
- Journal = {Phys. Rev. B},
- Keywords = {Machine Learning, Spin Liquid, Disordered FQH Paper},
- Month = {Dec},
- Numpages = {9},
- Pages = {245119},
- Publisher = {American Physical Society},
- Title = {Machine learning ${\mathbb{Z}}_{2}$ quantum spin liquids with quasiparticle statistics},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.96.245119},
- Volume = {96},
- Year = {2017},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.96.245119},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevB.96.245119}}
-
-@article{nieuwenburg:np2017a,
- Author = {van Nieuwenburg, Evert P. L. and Liu, Ye-Hua and Huber, Sebastian D.},
- Date = {2017/02/13/online},
- Date-Added = {2018-08-17 16:02:15 +0000},
- Date-Modified = {2018-08-17 16:02:45 +0000},
- Day = {13},
- Journal = {Nature Physics},
- Keywords = {Machine Learning, Disordered FQH Paper},
- L3 = {10.1038/nphys4037;},
- Month = {02},
- Pages = {435 EP -},
- Publisher = {Nature Publishing Group SN -},
- Title = {Learning phase transitions by confusion},
- Ty = {JOUR},
- Url = {http://dx.doi.org/10.1038/nphys4037},
- Volume = {13},
- Year = {2017},
- Bdsk-File-1 = {YnBsaXN0MDDSAQIDBFxyZWxhdGl2ZVBhdGhZYWxpYXNEYXRhXxBQZG9jcy9uaWV1d2VuYnVyZy9uaWV1d2VuYnVyZ18oMjAxN2EpX2xlYXJuaW5nIHBoYXNlIHRyYW5zaXRpb25zIGJ5IGNvbmZ1c2lvbi5wZGZPEQJaAAAAAAJaAAIAAAxNYWNpbnRvc2ggSEQAAAAAAAAAAAAAAAAAAAAAAAAAQkQAAf////8fbmlldXdlbmJ1cmdfKDIwMTdhI0ZGRkZGRkZGLnBkZgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA/////wAAAAAAAAAAAAAAAAABAAQAAAogY3UAAAAAAAAAAAAAAAAAC25pZXV3ZW5idXJnAAACAH4vOlVzZXJzOm1pY2hhZWxtYXR0eTpEcm9wYm94OmNpdGF0aW9uX2xpYnJhcnk6ZG9jczpuaWV1d2VuYnVyZzpuaWV1d2VuYnVyZ18oMjAxN2EpX2xlYXJuaW5nIHBoYXNlIHRyYW5zaXRpb25zIGJ5IGNvbmZ1c2lvbi5wZGYADgCAAD8AbgBpAGUAdQB3AGUAbgBiAHUAcgBnAF8AKAAyADAAMQA3AGEAKQBfAGwAZQBhAHIAbgBpAG4AZwAgAHAAaABhAHMAZQAgAHQAcgBhAG4AcwBpAHQAaQBvAG4AcwAgAGIAeQAgAGMAbwBuAGYAdQBzAGkAbwBuAC4AcABkAGYADwAaAAwATQBhAGMAaQBuAHQAbwBzAGgAIABIAEQAEgB8VXNlcnMvbWljaGFlbG1hdHR5L0Ryb3Bib3gvY2l0YXRpb25fbGlicmFyeS9kb2NzL25pZXV3ZW5idXJnL25pZXV3ZW5idXJnXygyMDE3YSlfbGVhcm5pbmcgcGhhc2UgdHJhbnNpdGlvbnMgYnkgY29uZnVzaW9uLnBkZgATAAEvAAAVAAIAE///AAAACAANABoAJAB3AAAAAAAAAgEAAAAAAAAABQAAAAAAAAAAAAAAAAAAAtU=},
- Bdsk-Url-1 = {http://dx.doi.org/10.1038/nphys4037}}
-
-@article{carrasquilla:np2017a,
- Author = {Carrasquilla, Juan and Melko, Roger G.},
- Date = {2017/02/13/online},
- Date-Added = {2018-08-17 16:00:59 +0000},
- Date-Modified = {2018-08-17 16:01:17 +0000},
- Day = {13},
- Journal = {Nature Physics},
- Keywords = {Machine Learning, Disordered FQH Paper},
- L3 = {10.1038/nphys4035; https://www.nature.com/articles/nphys4035#supplementary-information},
- Month = {02},
- Pages = {431 EP -},
- Publisher = {Nature Publishing Group SN -},
- Title = {Machine learning phases of matter},
- Ty = {JOUR},
- Url = {http://dx.doi.org/10.1038/nphys4035},
- Volume = {13},
- Year = {2017},
- Bdsk-File-1 = {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},
- Bdsk-Url-1 = {http://dx.doi.org/10.1038/nphys4035}}
-
-@article{carleo:s2017a,
- Abstract = {Elucidating the behavior of quantum interacting systems of many particles remains one of the biggest challenges in physics. Traditional numerical methods often work well, but some of the most interesting problems leave them stumped. Carleo and Troyer harnessed the power of machine learning to develop a variational approach to the quantum many-body problem (see the Perspective by Hush). The method performed at least as well as state-of-the-art approaches, setting a benchmark for a prototypical two-dimensional problem. With further development, it may well prove a valuable piece in the quantum toolbox.Science, this issue p. 602; see also p. 580The challenge posed by the many-body problem in quantum physics originates from the difficulty of describing the nontrivial correlations encoded in the exponential complexity of the many-body wave function. Here we demonstrate that systematic machine learning of the wave function can reduce this complexity to a tractable computational form for some notable cases of physical interest. We introduce a variational representation of quantum states based on artificial neural networks with a variable number of hidden neurons. A reinforcement-learning scheme we demonstrate is capable of both finding the ground state and describing the unitary time evolution of complex interacting quantum systems. Our approach achieves high accuracy in describing prototypical interacting spins models in one and two dimensions.},
- Author = {Carleo, Giuseppe and Troyer, Matthias},
- Date-Added = {2018-08-17 15:55:34 +0000},
- Date-Modified = {2018-08-17 15:56:38 +0000},
- Doi = {10.1126/science.aag2302},
- Eprint = {http://science.sciencemag.org/content/355/6325/602.full.pdf},
- Issn = {0036-8075},
- Journal = {Science},
- Keywords = {Machine Learning, Disordered FQH Paper},
- Number = {6325},
- Pages = {602--606},
- Publisher = {American Association for the Advancement of Science},
- Title = {Solving the quantum many-body problem with artificial neural networks},
- Url = {http://science.sciencemag.org/content/355/6325/602},
- Volume = {355},
- Year = {2017},
- Bdsk-File-1 = {YnBsaXN0MDDSAQIDBFxyZWxhdGl2ZVBhdGhZYWxpYXNEYXRhXxBkZG9jcy9jYXJsZW8vY2FybGVvXygyMDE3YSlfc29sdmluZyB0aGUgcXVhbnR1bSBtYW55LWJvZHkgcHJvYmxlbSB3aXRoIGFydGlmaWNpYWwgbmV1cmFsIG5ldHdvcmtzLnBkZk8RAq4AAAAAAq4AAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAAAAAABCRAAB/////x9jYXJsZW9fKDIwMTdhKV9zb2wjRkZGRkZGRkYucGRmAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD/////AAAAAAAAAAAAAAAAAAEABAAACiBjdQAAAAAAAAAAAAAAAAAGY2FybGVvAAIAki86VXNlcnM6bWljaGFlbG1hdHR5OkRyb3Bib3g6Y2l0YXRpb25fbGlicmFyeTpkb2NzOmNhcmxlbzpjYXJsZW9fKDIwMTdhKV9zb2x2aW5nIHRoZSBxdWFudHVtIG1hbnktYm9keSBwcm9ibGVtIHdpdGggYXJ0aWZpY2lhbCBuZXVyYWwgbmV0d29ya3MucGRmAA4AsgBYAGMAYQByAGwAZQBvAF8AKAAyADAAMQA3AGEAKQBfAHMAbwBsAHYAaQBuAGcAIAB0AGgAZQAgAHEAdQBhAG4AdAB1AG0AIABtAGEAbgB5AC0AYgBvAGQAeQAgAHAAcgBvAGIAbABlAG0AIAB3AGkAdABoACAAYQByAHQAaQBmAGkAYwBpAGEAbAAgAG4AZQB1AHIAYQBsACAAbgBlAHQAdwBvAHIAawBzAC4AcABkAGYADwAaAAwATQBhAGMAaQBuAHQAbwBzAGgAIABIAEQAEgCQVXNlcnMvbWljaGFlbG1hdHR5L0Ryb3Bib3gvY2l0YXRpb25fbGlicmFyeS9kb2NzL2Nhcmxlby9jYXJsZW9fKDIwMTdhKV9zb2x2aW5nIHRoZSBxdWFudHVtIG1hbnktYm9keSBwcm9ibGVtIHdpdGggYXJ0aWZpY2lhbCBuZXVyYWwgbmV0d29ya3MucGRmABMAAS8AABUAAgAT//8AAAAIAA0AGgAkAIsAAAAAAAACAQAAAAAAAAAFAAAAAAAAAAAAAAAAAAADPQ==},
- Bdsk-Url-1 = {http://science.sciencemag.org/content/355/6325/602},
- Bdsk-Url-2 = {https://dx.doi.org/10.1126/science.aag2302}}
-
-@article{zhang:prl2017a,
- Author = {Zhang, Yi and Kim, Eun-Ah},
- Date-Added = {2018-08-17 15:53:02 +0000},
- Date-Modified = {2018-08-17 15:53:40 +0000},
- Doi = {10.1103/PhysRevLett.118.216401},
- Issue = {21},
- Journal = {Phys. Rev. Lett.},
- Keywords = {Machine Learning, Disordered FQH Paper},
- Month = {May},
- Numpages = {5},
- Pages = {216401},
- Publisher = {American Physical Society},
- Title = {Quantum Loop Topography for Machine Learning},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.118.216401},
- Volume = {118},
- Year = {2017},
- Bdsk-File-1 = {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},
- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevLett.118.216401},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevLett.118.216401}}
-
-@article{broecker:sr2017a,
- Abstract = {State-of-the-art machine learning techniques promise to become a powerful tool in statistical mechanics via their capacity to distinguish different phases of matter in an automated way. Here we demonstrate that convolutional neural networks (CNN) can be optimized for quantum many-fermion systems such that they correctly identify and locate quantum phase transitions in such systems. Using auxiliary-field quantum Monte Carlo (QMC) simulations to sample the many-fermion system, we show that the Green's function holds sufficient information to allow for the distinction of different fermionic phases via a CNN. We demonstrate that this QMC + machine learning approach works even for systems exhibiting a severe fermion sign problem where conventional approaches to extract information from the Green's function, e.g. in the form of equal-time correlation functions, fail.},
- Author = {Broecker, Peter and Carrasquilla, Juan and Melko, Roger G. and Trebst, Simon},
- Da = {2017/08/18},
- Date-Added = {2018-08-17 15:49:32 +0000},
- Date-Modified = {2018-08-17 15:50:07 +0000},
- Doi = {10.1038/s41598-017-09098-0},
- Id = {Broecker2017},
- Isbn = {2045-2322},
- Journal = {Scientific Reports},
- Keywords = {Machine Learning, Disordered FQH Paper},
- Number = {1},
- Pages = {8823},
- Title = {Machine learning quantum phases of matter beyond the fermion sign problem},
- Ty = {JOUR},
- Url = {https://doi.org/10.1038/s41598-017-09098-0},
- Volume = {7},
- Year = {2017},
- Bdsk-File-1 = {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},
- Bdsk-Url-1 = {https://doi.org/10.1038/s41598-017-09098-0}}
-
-@article{broecker:ap2017a,
- Author = {Peter Broecker and Fakher F. Assaad and Simon Trebst},
- Date-Added = {2018-08-17 15:44:56 +0000},
- Date-Modified = {2018-08-17 15:46:26 +0000},
- Journal = {arXiv preprint},
- Keywords = {Machine Learning, Disordered FQH Paper},
- Month = {Jul},
- Number = {1707.00663},
- Title = {Quantum phase recognition via unsupervised machine learning},
- Year = {2017},
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-
-@article{venderley:prl2018a,
- Author = {Venderley, Jordan and Khemani, Vedika and Kim, Eun-Ah},
- Date-Added = {2018-08-17 15:42:20 +0000},
- Date-Modified = {2018-08-17 15:43:04 +0000},
- Doi = {10.1103/PhysRevLett.120.257204},
- Issue = {25},
- Journal = {Phys. Rev. Lett.},
- Keywords = {Machine Learning, Many Body Localization, Disordered FQH Paper},
- Month = {Jun},
- Numpages = {6},
- Pages = {257204},
- Publisher = {American Physical Society},
- Title = {Machine Learning Out-of-Equilibrium Phases of Matter},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.120.257204},
- Volume = {120},
- Year = {2018},
- Bdsk-File-1 = {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},
- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevLett.120.257204},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevLett.120.257204}}
-
-@article{zdeborova:np2017a,
- Author = {Zdeborov{\'a}, Lenka},
- Date = {2017/02/13/online},
- Date-Added = {2018-08-17 15:40:53 +0000},
- Date-Modified = {2018-08-17 15:41:12 +0000},
- Day = {13},
- Journal = {Nature Physics},
- Keywords = {Machine Learning, Disordered FQH Paper},
- L3 = {10.1038/nphys4053;},
- Month = {02},
- Pages = {420 EP -},
- Publisher = {Nature Publishing Group, a division of Macmillan Publishers Limited. All Rights Reserved. SN -},
- Title = {New tool in the box},
- Ty = {JOUR},
- Url = {http://dx.doi.org/10.1038/nphys4053},
- Volume = {13},
- Year = {2017},
- Bdsk-File-1 = {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},
- Bdsk-Url-1 = {http://dx.doi.org/10.1038/nphys4053}}
-
-@article{okazaki:s2011a,
- Abstract = {A second-order phase transition is characterized by spontaneous symmetry breaking. The nature of the broken symmetry in the so-called {\textquotedblleft}hidden-order{\textquotedblright} phase transition in the heavy-fermion compound URu2Si2, at transition temperature Th = 17.5 K, has posed a long-standing mystery. We report the emergence of an in-plane anisotropy of the magnetic susceptibility below Th, which breaks the four-fold rotational symmetry of the tetragonal URu2Si2. Two-fold oscillations in the magnetic torque under in-plane field rotation were sensitively detected in small pure crystals. Our findings suggest that the hidden-order phase is an electronic {\textquotedblleft}nematic{\textquotedblright} phase, a translationally invariant metallic phase with spontaneous breaking of rotational symmetry.},
- Author = {Okazaki, R. and Shibauchi, T. and Shi, H. J. and Haga, Y. and Matsuda, T. D. and Yamamoto, E. and Onuki, Y. and Ikeda, H. and Matsuda, Y.},
- Date-Added = {2018-08-17 15:14:24 +0000},
- Date-Modified = {2018-08-17 15:14:35 +0000},
- Doi = {10.1126/science.1197358},
- Eprint = {http://science.sciencemag.org/content/331/6016/439.full.pdf},
- Issn = {0036-8075},
- Journal = {Science},
- Keywords = {URu2Si2},
- Number = {6016},
- Pages = {439--442},
- Publisher = {American Association for the Advancement of Science},
- Title = {Rotational Symmetry Breaking in the Hidden-Order Phase of URu2Si2},
- Url = {http://science.sciencemag.org/content/331/6016/439},
- Volume = {331},
- Year = {2011},
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- Bdsk-Url-1 = {http://science.sciencemag.org/content/331/6016/439},
- Bdsk-Url-2 = {https://dx.doi.org/10.1126/science.1197358}}
-
-@article{srednicki:prl1993a,
- Author = {Srednicki, Mark},
- Date-Added = {2018-08-16 16:31:42 +0000},
- Date-Modified = {2018-08-16 16:31:58 +0000},
- Doi = {10.1103/PhysRevLett.71.666},
- Issue = {5},
- Journal = {Phys. Rev. Lett.},
- Keywords = {Entanglement Entropy},
- Month = {Aug},
- Numpages = {0},
- Pages = {666--669},
- Publisher = {American Physical Society},
- Title = {Entropy and area},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.71.666},
- Volume = {71},
- Year = {1993},
- Bdsk-File-1 = {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},
- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevLett.71.666},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevLett.71.666}}
-
-@article{haule:el2010a,
- Abstract = {We develop a Landau-Ginzburg theory of the hidden-order phase and the local moment antiferromagnetic phase of URu 2 Si 2 . We unify the two broken symmetries in a common complex-order parameter and derive many experimentally relevant consequences such as the topology of the phase diagram in magnetic field and pressure. The theory accounts for the appearance of a moment under application of stress and the thermal expansion anomaly across the phase transitions. It identifies the low-energy mode which is seen in the hidden-order phase near the commensurate wave vector (0, 0, 1) as the pseudo-Goldstone mode of the approximate U (1) symmetry.},
- Author = {K. Haule and G. Kotliar},
- Date-Added = {2018-08-13 18:20:23 +0000},
- Date-Modified = {2018-08-13 18:22:43 +0000},
- Journal = {EPL (Europhysics Letters)},
- Keywords = {URu2Si2},
- Number = {5},
- Pages = {57006},
- Title = {Complex Landau-Ginzburg theory of the hidden order in URu 2 Si 2},
- Url = {http://stacks.iop.org/0295-5075/89/i=5/a=57006},
- Volume = {89},
- Year = {2010},
- Bdsk-File-1 = {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},
- Bdsk-Url-1 = {http://stacks.iop.org/0295-5075/89/i=5/a=57006}}
-
-@article{mydosh:pm2014a,
- Author = {J.A. Mydosh and P.M. Oppeneer},
- Date-Added = {2018-07-20 20:51:31 +0000},
- Date-Modified = {2018-07-20 20:51:47 +0000},
- Doi = {10.1080/14786435.2014.916428},
- Eprint = {https://doi.org/10.1080/14786435.2014.916428},
- Journal = {Philosophical Magazine},
- Keywords = {URu2Si2, Review Paper},
- Number = {32-33},
- Pages = {3642-3662},
- Publisher = {Taylor & Francis},
- Title = {Hidden order behaviour in URu2Si2 (A critical review of the status of hidden order in 2014)},
- Url = {https://doi.org/10.1080/14786435.2014.916428},
- Volume = {94},
- Year = {2014},
- Bdsk-File-1 = {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},
- Bdsk-Url-1 = {https://doi.org/10.1080/14786435.2014.916428}}
-
-@article{chandra:n2002a,
- Author = {Chandra, P. and Coleman, P. and Mydosh, J. A. and Tripathi, V.},
- Date = {2002/06/20/online},
- Date-Added = {2018-07-20 20:46:10 +0000},
- Date-Modified = {2018-07-20 20:46:23 +0000},
- Day = {20},
- Journal = {Nature},
- Keywords = {URu2Si2},
- L3 = {10.1038/nature00795;},
- Month = {06},
- Pages = {831 EP -},
- Publisher = {Macmillian Magazines Ltd. SN -},
- Title = {Hidden orbital order in the heavy fermion metal URu2Si2},
- Ty = {JOUR},
- Url = {http://dx.doi.org/10.1038/nature00795},
- Volume = {417},
- Year = {2002},
- Bdsk-File-1 = {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},
- Bdsk-Url-1 = {http://dx.doi.org/10.1038/nature00795}}
-
-@article{kasuya:jpsj1997a,
- Author = {Tadao Kasuya},
- Date-Added = {2018-07-20 20:29:20 +0000},
- Date-Modified = {2018-07-20 20:30:25 +0000},
- Journal = {Journal of the Physical Society of Japan},
- Keywords = {URu2Si2},
- Number = {11},
- Pages = {3348-3351},
- Title = {Hidden Ordering and Heavy Mass in URu2Si2 and Its Alloys},
- Volume = {66},
- Year = {1997}}
-
-@article{amitsuka:jpsj1994a,
- Author = {Amitsuka ,Hiroshi and Sakakibara ,Toshiro},
- Date-Added = {2018-07-20 20:09:54 +0000},
- Date-Modified = {2018-07-20 20:10:05 +0000},
- Doi = {10.1143/JPSJ.63.736},
- Eprint = {https://doi.org/10.1143/JPSJ.63.736},
- Journal = {Journal of the Physical Society of Japan},
- Keywords = {URu2Si2},
- Number = {2},
- Pages = {736-747},
- Title = {Single Uranium-Site Properties of the Dilute Heavy Electron System UxTh1-xRu2Si2 (x≤0.07)},
- Url = {https://doi.org/10.1143/JPSJ.63.736},
- Volume = {63},
- Year = {1994},
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- Bdsk-Url-1 = {https://doi.org/10.1143/JPSJ.63.736}}
-
-@article{bernhoeft:app2003a,
- Adsnote = {Provided by the SAO/NASA Astrophysics Data System},
- Adsurl = {http://adsabs.harvard.edu/abs/2003AcPPB..34.1367B},
- Author = {{Bernhoeft}, N. and {Lander}, G.~H. and {Longfield}, M.~J. and {Langridge}, S. and {Mannix}, D. and {Lidstroem}, E. and {Colineau}, E. and {Hiess}, A. and {Vettier}, C. and {Wastin}, F. and {Rebizant}, J. and {Lejay}, P.},
- Date-Added = {2018-07-20 20:05:54 +0000},
- Date-Modified = {2018-07-20 20:06:02 +0000},
- Journal = {Acta Physica Polonica B},
- Keywords = {URu2Si2},
- Month = feb,
- Pages = {1367},
- Title = {{Fragile Thermodynamic Order}},
- Volume = 34,
- Year = 2003,
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-
-@article{thomas:pr2013a,
- Author = {Thomas, Christopher and Burdin, Sebastien and Pepin, Catherine and Ferraz, Alvaro},
- Date-Added = {2018-07-20 19:45:42 +0000},
- Date-Modified = {2018-07-20 19:46:28 +0000},
- Doi = {10.1103/PhysRevB.87.014422},
- Issue = {1},
- Journal = {Phys. Rev. B},
- Keywords = {URu2Si2},
- Month = {Jan},
- Numpages = {5},
- Pages = {014422},
- Publisher = {American Physical Society},
- Title = {Three-dimensional modulated spin liquid model applied to URu${}_{2}$Si${}_{2}$},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.87.014422},
- Volume = {87},
- Year = {2013},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.87.014422},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevB.87.014422}}
-
-@article{pepin:prl2011a,
- Author = {Pepin, C. and Norman, M. R. and Burdin, S. and Ferraz, A.},
- Date-Added = {2018-07-20 19:43:45 +0000},
- Date-Modified = {2018-08-17 15:43:13 +0000},
- Doi = {10.1103/PhysRevLett.106.106601},
- Issue = {10},
- Journal = {Phys. Rev. Lett.},
- Keywords = {URu2Si2},
- Month = {Mar},
- Numpages = {4},
- Pages = {106601},
- Publisher = {American Physical Society},
- Title = {Modulated Spin Liquid: A New Paradigm for ${\mathrm{URu}}_{2}{\mathrm{Si}}_{2}$},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.106.106601},
- Volume = {106},
- Year = {2011},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevLett.106.106601},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevLett.106.106601}}
-
-@article{chandra:n2013a,
- Abstract = {This one has to be doublet
-
-``Normal heavy'' fermion materials have an odd number of electrons in the f-orbital, making it a Kramer's doublet. Hybridized excited states form Kondo singlets.
-
-In this model the ground state is a non-kramers doublet and the hybridized excited states are kramers doublets and there is a two-component spinor order parameter that connects the ground state to the excited states and breaks double time-reversal symmetry. Features of their model rely on the GS being a non-kramers doublet},
- Author = {Chandra, Premala and Coleman, Piers and Flint, Rebecca},
- Date = {2013/01/30/online},
- Date-Added = {2018-07-20 19:41:54 +0000},
- Date-Modified = {2018-08-29 20:04:36 +0000},
- Day = {30},
- Journal = {Nature},
- Keywords = {URu2Si2},
- L3 = {10.1038/nature11820; https://www.nature.com/articles/nature11820#supplementary-information},
- M3 = {Article},
- Month = {01},
- Pages = {621 EP -},
- Publisher = {Nature Publishing Group, a division of Macmillan Publishers Limited. All Rights Reserved. SN -},
- Title = {Hastatic order in the heavy-fermion compound URu2Si2},
- Ty = {JOUR},
- Url = {http://dx.doi.org/10.1038/nature11820},
- Volume = {493},
- Year = {2013},
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- Bdsk-Url-1 = {http://dx.doi.org/10.1038/nature11820}}
-
-@article{das:sr2012a,
- Annote = {Fermi surface instabiity between mJ = 3/2 and mJ = 1/2 states promotes Eg ``spin-orbit density wave'' between these states},
- Author = {Das, Tanmoy},
- Date = {2012/08/22/online},
- Date-Added = {2018-07-20 19:39:22 +0000},
- Date-Modified = {2018-09-10 15:13:26 +0000},
- Day = {22},
- Journal = {Scientific Reports},
- Keywords = {URu2Si2},
- L3 = {10.1038/srep00596; https://www.nature.com/articles/srep00596#supplementary-information},
- M3 = {Article},
- Month = {08},
- Pages = {596 EP -},
- Publisher = {The Author(s) SN -},
- Title = {Spin-orbit density wave induced hidden topological order in URu2Si2},
- Ty = {JOUR},
- Url = {http://dx.doi.org/10.1038/srep00596},
- Volume = {2},
- Year = {2012},
- Bdsk-File-1 = {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},
- Bdsk-Url-1 = {http://dx.doi.org/10.1038/srep00596}}
-
-@article{riseborough:pr2012a,
- Author = {Riseborough, Peter S. and Coqblin, B. and Magalh\~aes, S. G.},
- Date-Added = {2018-07-20 19:35:52 +0000},
- Date-Modified = {2018-07-20 19:36:02 +0000},
- Doi = {10.1103/PhysRevB.85.165116},
- Issue = {16},
- Journal = {Phys. Rev. B},
- Keywords = {URu2Si2},
- Month = {Apr},
- Numpages = {8},
- Pages = {165116},
- Publisher = {American Physical Society},
- Title = {Phase transition arising from the underscreened Anderson lattice model: A candidate concept for explaining hidden order in URu${}_{2}$Si${}_{2}$},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.85.165116},
- Volume = {85},
- Year = {2012},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.85.165116},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevB.85.165116}}
-
-@article{fujimoto:prl2011a,
- Author = {Fujimoto, Satoshi},
- Date-Added = {2018-07-20 19:34:04 +0000},
- Date-Modified = {2018-07-20 19:34:33 +0000},
- Doi = {10.1103/PhysRevLett.106.196407},
- Issue = {19},
- Journal = {Phys. Rev. Lett.},
- Keywords = {URu2Si2},
- Month = {May},
- Numpages = {4},
- Pages = {196407},
- Publisher = {American Physical Society},
- Title = {Spin Nematic State as a Candidate of the Hidden Order Phase of ${\mathrm{URu}}_{2}{\mathrm{Si}}_{2}$},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.106.196407},
- Volume = {106},
- Year = {2011},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevLett.106.196407},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevLett.106.196407}}
-
-@article{virosztek:ijmp2002a,
- Abstract = { It has been proposed, that unconventional density waves (UDW) are possible candidates for systems with hidden order parameter. Unlike in conventional density waves, no periodic modulation of either the charge-, or the spin-density is present in UDW, in spite of a clear thermodynamic signal. Although the unconventional spin density wave (USDW) has been suggested for the "antiferromagnetic" phase of URu2Si2, the micromagnetism seen by neutron scattering has not been understood. We present here the calculation of the local spin density due to impurities in USDW, which describes quantitatively the neutron scattering data by Amitsuka et al. Further, we propose that the pseudogap phase in high temperature superconductors (HTSC) should also be USDW. Strong evidence for this are the micromagnetism seen by Sidis et al., and the optical dichroism seen by Campuzano et al. },
- Author = {VIROSZTEK, ATTILA and MAKI, KAZUMI and D{\'O}RA, BAL{\'A}ZS},
- Date-Added = {2018-07-20 19:29:15 +0000},
- Date-Modified = {2018-07-20 19:29:26 +0000},
- Doi = {10.1142/S0217979202011135},
- Eprint = {https://doi.org/10.1142/S0217979202011135},
- Journal = {International Journal of Modern Physics B},
- Keywords = {URu2Si2},
- Number = {11n12},
- Pages = {1667-1671},
- Title = {MICROMAGNETISM IN URu2Si2 AND HIGH TEMPERATURE SUPERCONDUCTORS},
- Url = {https://doi.org/10.1142/S0217979202011135},
- Volume = {16},
- Year = {2002},
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- Bdsk-Url-1 = {https://doi.org/10.1142/S0217979202011135}}
-
-@article{ikeda:prl1998a,
- Author = {Ikeda, Hiroaki and Ohashi, Yoji},
- Date-Added = {2018-07-20 19:07:02 +0000},
- Date-Modified = {2018-07-20 19:07:30 +0000},
- Doi = {10.1103/PhysRevLett.81.3723},
- Issue = {17},
- Journal = {Phys. Rev. Lett.},
- Keywords = {URu2Si2},
- Month = {Oct},
- Numpages = {0},
- Pages = {3723--3726},
- Publisher = {American Physical Society},
- Title = {Theory of Unconventional Spin Density Wave: A Possible Mechanism of the Micromagnetism in U-based Heavy Fermion Compounds},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.81.3723},
- Volume = {81},
- Year = {1998},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevLett.81.3723},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevLett.81.3723}}
-
-@article{barzykin:prl1995a,
- Author = {Barzykin, Victor and Gor'kov, Lev P.},
- Date-Added = {2018-07-20 19:05:03 +0000},
- Date-Modified = {2018-07-20 19:05:12 +0000},
- Doi = {10.1103/PhysRevLett.74.4301},
- Issue = {21},
- Journal = {Phys. Rev. Lett.},
- Keywords = {URu2Si2},
- Month = {May},
- Numpages = {0},
- Pages = {4301--4304},
- Publisher = {American Physical Society},
- Title = {Singlet Magnetism in Heavy Fermions},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.74.4301},
- Volume = {74},
- Year = {1995},
- Bdsk-File-1 = {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},
- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevLett.74.4301},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevLett.74.4301}}
-
-@article{barzykin:prl1993a,
- Author = {Barzykin, V. and Gor'kov, L. P.},
- Date-Added = {2018-07-20 19:03:19 +0000},
- Date-Modified = {2018-07-20 19:03:35 +0000},
- Doi = {10.1103/PhysRevLett.70.2479},
- Issue = {16},
- Journal = {Phys. Rev. Lett.},
- Keywords = {URu2Si2},
- Month = {Apr},
- Numpages = {0},
- Pages = {2479--2482},
- Publisher = {American Physical Society},
- Title = {Possibility of observation of nontrivial magnetic order by elastic neutron scattering in magnetic field},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.70.2479},
- Volume = {70},
- Year = {1993},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevLett.70.2479},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevLett.70.2479}}
-
-@article{hoshino:jpsj2013a,
- Author = {Hoshino ,Shintaro and Otsuki ,Junya and Kuramoto ,Yoshio},
- Date-Added = {2018-07-20 18:51:35 +0000},
- Date-Modified = {2018-07-20 18:51:43 +0000},
- Doi = {10.7566/JPSJ.82.044707},
- Eprint = {https://doi.org/10.7566/JPSJ.82.044707},
- Journal = {Journal of the Physical Society of Japan},
- Keywords = {URu2Si2},
- Number = {4},
- Pages = {044707},
- Title = {Resolution of Entropy \(\ln\sqrt{2}\) by Ordering in Two-Channel Kondo Lattice},
- Url = {https://doi.org/10.7566/JPSJ.82.044707},
- Volume = {82},
- Year = {2013},
- Bdsk-File-1 = {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},
- Bdsk-Url-1 = {https://doi.org/10.7566/JPSJ.82.044707}}
-
-@article{rau:pr2012a,
- Annote = {Eu},
- Author = {Rau, Jeffrey G. and Kee, Hae-Young},
- Date-Added = {2018-07-20 18:39:00 +0000},
- Date-Modified = {2018-08-10 16:55:13 +0000},
- Doi = {10.1103/PhysRevB.85.245112},
- Issue = {24},
- Journal = {Phys. Rev. B},
- Keywords = {URu2Si2},
- Month = {Jun},
- Numpages = {6},
- Pages = {245112},
- Publisher = {American Physical Society},
- Title = {Hidden and antiferromagnetic order as a rank-5 superspin in URu${}_{2}$Si${}_{2}$},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.85.245112},
- Volume = {85},
- Year = {2012},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.85.245112},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevB.85.245112}}
-
-@article{thalmeier:pr2011a,
- Annote = {Eg},
- Author = {Thalmeier, Peter and Takimoto, Tetsuya},
- Date-Added = {2018-07-20 18:31:19 +0000},
- Date-Modified = {2018-08-10 15:29:53 +0000},
- Doi = {10.1103/PhysRevB.83.165110},
- Issue = {16},
- Journal = {Phys. Rev. B},
- Keywords = {URu2Si2},
- Month = {Apr},
- Numpages = {9},
- Pages = {165110},
- Publisher = {American Physical Society},
- Title = {Signatures of hidden-order symmetry in torque oscillations, elastic constant anomalies, and field-induced moments in URu${}_{2}$Si${}_{2}$},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.83.165110},
- Volume = {83},
- Year = {2011},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.83.165110},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevB.83.165110}}
-
-@article{tonegawa:prl2012a,
- Author = {Tonegawa, S. and Hashimoto, K. and Ikada, K. and Lin, Y.-H. and Shishido, H. and Haga, Y. and Matsuda, T. D. and Yamamoto, E. and Onuki, Y. and Ikeda, H. and Matsuda, Y. and Shibauchi, T.},
- Date-Added = {2018-07-20 18:21:14 +0000},
- Date-Modified = {2018-07-20 18:21:22 +0000},
- Doi = {10.1103/PhysRevLett.109.036401},
- Issue = {3},
- Journal = {Phys. Rev. Lett.},
- Keywords = {URu2Si2},
- Month = {Jul},
- Numpages = {5},
- Pages = {036401},
- Publisher = {American Physical Society},
- Title = {Cyclotron Resonance in the Hidden-Order Phase of ${\mathrm{URu}}_{2}{\mathrm{Si}}_{2}$},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.109.036401},
- Volume = {109},
- Year = {2012},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevLett.109.036401},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevLett.109.036401}}
-
-@article{cricchio:prl2009a,
- Annote = {A2u},
- Author = {Cricchio, Francesco and Bultmark, Fredrik and Gr\aa{}n\"as, Oscar and Nordstr\"om, Lars},
- Date-Added = {2018-07-20 18:16:21 +0000},
- Date-Modified = {2018-08-10 04:45:00 +0000},
- Doi = {10.1103/PhysRevLett.103.107202},
- Issue = {10},
- Journal = {Phys. Rev. Lett.},
- Keywords = {URu2Si2},
- Month = {Sep},
- Numpages = {4},
- Pages = {107202},
- Publisher = {American Physical Society},
- Title = {Itinerant Magnetic Multipole Moments of Rank Five as the Hidden Order in ${\mathrm{URu}}_{2}{\mathrm{Si}}_{2}$},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.103.107202},
- Volume = {103},
- Year = {2009},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevLett.103.107202},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevLett.103.107202}}
-
-@article{hanzawa:jpcm2005a,
- Abstract = {We analyse the magnetic susceptibility χ and the specific heat C of the heavy-fermion material URu 2 Si 2 , assuming a variety of the crystal field level schemes. The heavy-fermion behaviours of χ and C above T N = 17.5 K are shown to be reproduced fairly well in the singlet--singlet--singlet (Γ 3 --Γ 1 --Γ 2 ) level scheme proposed by Santini and Amoretti, and also in a novel level scheme of Γ 1 -singlet ground state with Γ 5 -doublet excited state. We discuss that the novel singlet--doublet level scheme is favourable for the close proximity of weak antiferromagnetism to the hidden order in URu 2 Si 2 , and the most probable candidate of the hidden order is a J x ( J y 2 − J z 2 )-type octupolar ordering.},
- Annote = {T_{xy}^\beta},
- Author = {Katsurou Hanzawa and Naoto Watanabe},
- Date-Added = {2018-07-20 18:11:35 +0000},
- Date-Modified = {2018-08-10 05:00:21 +0000},
- Journal = {Journal of Physics: Condensed Matter},
- Keywords = {URu2Si2},
- Number = {41},
- Pages = {L419},
- Title = {Heavy-fermion behaviours in URu 2 Si 2},
- Url = {http://stacks.iop.org/0953-8984/17/i=41/a=L04},
- Volume = {17},
- Year = {2005},
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- Bdsk-Url-1 = {http://stacks.iop.org/0953-8984/17/i=41/a=L04}}
-
-@article{kiss:ap2004a,
- Annote = {multidomain B1u and B2u order},
- Author = {Annamaria Kiss and Patrik Fazekas},
- Date-Added = {2018-07-20 18:07:05 +0000},
- Date-Modified = {2018-08-10 04:53:21 +0000},
- Journal = {arXiv preprint},
- Keywords = {URu2Si2},
- Title = {On the possibility of octupolar order in URu2Si2 On the possibility of octupolar order in URu2Si2 On the possibility of octupolar order in URu2Si2 On the possibility of octupolar order in URu2Si2 On the Possibility of Octupolar Order in URu2Si2},
- Year = {2004},
- Bdsk-File-1 = {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}}
-
-@article{tsuruta:jpsj2000a,
- Author = {Tsuruta ,Atsushi and Kobayashi ,Akito and Matsuura ,Tamifusa and Kuroda ,Yoshihiro},
- Date-Added = {2018-07-20 17:35:05 +0000},
- Date-Modified = {2018-07-20 17:35:27 +0000},
- Doi = {10.1143/JPSJ.69.663},
- Eprint = {https://doi.org/10.1143/JPSJ.69.663},
- Journal = {Journal of the Physical Society of Japan},
- Keywords = {URu2Si2},
- Number = {3},
- Pages = {663-666},
- Title = {Quadrupolar Order, Hidden Octupolar Order and Tiny Magnetic Moment in URu 2Si 2},
- Url = {https://doi.org/10.1143/JPSJ.69.663},
- Volume = {69},
- Year = {2000},
- Bdsk-File-1 = {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},
- Bdsk-Url-1 = {https://doi.org/10.1143/JPSJ.69.663}}
-
-@article{ohkawa:jpcm1999a,
- Abstract = {Exotic magnetism below T N ##IMG## [http://ej.iop.org/icons/common/simeq.gif] {simeq} 17.5 K is studied within the level scheme where the lowest multiplet is a doublet within the 5f 2 configuration. Effective g -factors of pseudo-spins with S = ½, which describe the degree of freedom of the doublet, are highly anisotropic: g x = g y = 0 for the xy -components and g z ##IMG## [http://ej.iop.org/icons/common/ne.gif] {ne} 0 for the z -component. It is proposed that a recently discovered transition of first order at a critical pressure p c ##IMG## [http://ej.iop.org/icons/common/simeq.gif] {simeq} 1.5 GPa is that between an ordered state of quadrupoles, with order parameter O ( x 2 )- y 2 or O xy , below p c and an ordered state of dipoles, with order parameter O z , above p c ; pseudo-spins are ordered within the xy -plane below p c , and they are along the z -axis above p c . The proposal of this scenario is followed by many predictions. No static magnetic moments exist below p c . The anisotropy of Van Vleck's susceptibility within the xy -plane is of twofold symmetry corresponding to O ( x 2 )- y 2 or O xy . What one observes by means of neutron diffraction and µSR (muon spin resonance) below p c are dynamically but slowly fluctuating magnetic moments. The softening of magnons occurs with pressures approaching p c below p c . Although static magnetic moments exist above p c , no magnon excitations can be observed there.},
- Author = {Fusayoshi J Ohkawa and Hirofumi Shimizu},
- Date-Added = {2018-07-20 17:31:38 +0000},
- Date-Modified = {2018-07-20 17:31:47 +0000},
- Journal = {Journal of Physics: Condensed Matter},
- Keywords = {URu2Si2},
- Number = {46},
- Pages = {L519},
- Title = {Quadrupole and dipole orders in URu 2 Si 2},
- Url = {http://stacks.iop.org/0953-8984/11/i=46/a=101},
- Volume = {11},
- Year = {1999},
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-
-@article{santini:prl1994a,
- Author = {Santini, P. and Amoretti, G.},
- Date-Added = {2018-07-20 17:22:54 +0000},
- Date-Modified = {2018-07-20 18:17:12 +0000},
- Doi = {10.1103/PhysRevLett.73.1027},
- Issue = {7},
- Journal = {Phys. Rev. Lett.},
- Keywords = {URu2Si2},
- Month = {Aug},
- Numpages = {0},
- Pages = {1027--1030},
- Publisher = {American Physical Society},
- Title = {Crystal Field Model of the Magnetic Properties of U${\mathrm{Ru}}_{2}$${\mathrm{Si}}_{2}$},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.73.1027},
- Volume = {73},
- Year = {1994},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevLett.73.1027},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevLett.73.1027}}
-
-@article{miyako:jap1991a,
- Author = {Miyako,Y. and Kawarazaki,S. and Amitsuka,H. and Paulsen,C. C. and Hasselbach,K.},
- Date-Added = {2018-07-20 17:20:05 +0000},
- Date-Modified = {2018-07-20 17:20:37 +0000},
- Doi = {10.1063/1.350162},
- Eprint = {https://doi.org/10.1063/1.350162},
- Journal = {Journal of Applied Physics},
- Keywords = {URu2Si2},
- Number = {10},
- Pages = {5791-5793},
- Title = {Magnetic properties of U(Ru1−xRhx)2Si2 single crystals (0≤x≤1)},
- Url = {https://doi.org/10.1063/1.350162},
- Volume = {70},
- Year = {1991},
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- Bdsk-Url-1 = {https://doi.org/10.1063/1.350162}}
-
-@article{ohkuni:pm1999a,
- Author = {H. Ohkuni and Y. Inada and Y. Tokiwa and K. Sakurai and R. Settai and T. Honma and Y. Haga and E. Yamamoto and Y. {\=O}nuki and H. Yamagami and S. Takahashi and T. Yanagisawa},
- Date-Added = {2018-07-20 16:30:45 +0000},
- Date-Modified = {2018-07-20 16:31:24 +0000},
- Doi = {10.1080/13642819908214859},
- Eprint = {https://doi.org/10.1080/13642819908214859},
- Journal = {Philosophical Magazine B},
- Keywords = {URu2Si2},
- Number = {7},
- Pages = {1045-1077},
- Publisher = {Taylor & Francis},
- Title = {Fermi surface properties and de Haas--van Alphen oscillation in both the normal and superconducting mixed states of URu2Si2},
- Url = {https://doi.org/10.1080/13642819908214859},
- Volume = {79},
- Year = {1999},
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- Bdsk-Url-1 = {https://doi.org/10.1080/13642819908214859}}
-
-@article{sikkema:pr1996a,
- Author = {Sikkema, A. E. and Buyers, W. J. L. and Affleck, I. and Gan, J.},
- Date-Added = {2018-07-19 18:01:30 +0000},
- Date-Modified = {2018-07-20 18:16:28 +0000},
- Doi = {10.1103/PhysRevB.54.9322},
- Issue = {13},
- Journal = {Phys. Rev. B},
- Keywords = {URu2Si2},
- Month = {Oct},
- Numpages = {0},
- Pages = {9322--9327},
- Publisher = {American Physical Society},
- Title = {Ising-Kondo lattice with transverse field: A possible f-moment Hamiltonian for ${\mathrm{URu}}_{2}$${\mathrm{Si}}_{2}$},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.54.9322},
- Volume = {54},
- Year = {1996},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.54.9322},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevB.54.9322}}
-
-@article{okuno:jpsj1998a,
- Author = {Okuno ,Yukihiro and Miyake ,Kazumasa},
- Date-Added = {2018-07-19 17:56:50 +0000},
- Date-Modified = {2018-08-13 18:10:14 +0000},
- Doi = {10.1143/JPSJ.67.2469},
- Eprint = {https://doi.org/10.1143/JPSJ.67.2469},
- Journal = {Journal of the Physical Society of Japan},
- Keywords = {URu2Si2},
- Number = {7},
- Pages = {2469-2476},
- Title = {Induced-Moment Weak Antiferromagnetism and Orbital Order on the Itinerant-Localized Duality Model with Nested Fermi Surface : A Possible Origin of Exotic Magnetism in URu 2Si 2},
- Url = {https://doi.org/10.1143/JPSJ.67.2469},
- Volume = {67},
- Year = {1998},
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- Bdsk-Url-1 = {https://doi.org/10.1143/JPSJ.67.2469}}
-
-@article{visser:pr1986a,
- Author = {de Visser, A. and Kayzel, F. E. and Menovsky, A. A. and Franse, J. J. M. and van den Berg, J. and Nieuwenhuys, G. J.},
- Date-Added = {2018-07-19 17:54:46 +0000},
- Date-Modified = {2018-07-19 17:55:05 +0000},
- Doi = {10.1103/PhysRevB.34.8168},
- Issue = {11},
- Journal = {Phys. Rev. B},
- Keywords = {URu2Si2},
- Month = {Dec},
- Numpages = {0},
- Pages = {8168--8171},
- Publisher = {American Physical Society},
- Title = {Thermal expansion and specific heat of monocrystalline U${\mathrm{Ru}}_{2}$${\mathrm{Si}}_{2}$},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.34.8168},
- Volume = {34},
- Year = {1986},
- Bdsk-File-1 = {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},
- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.34.8168},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevB.34.8168}}
-
-@article{geraedts:ap2016a,
- Author = {Scott D. Geraedts and Rahul Nandkishore and Nicolas Regnault},
- Date-Added = {2018-07-18 18:42:08 +0000},
- Date-Modified = {2018-07-18 18:42:50 +0000},
- Journal = {arXiv preprint},
- Keywords = {Many Body Localization, Entanglement Spectrum},
- Title = {Many body localization and thermalization: insights from the entanglement spectrum},
- Year = {2016},
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-
-@article{atas:ap2012a,
- Author = {Y. Y. Atas and E. Bogomolny and O. Giraud and G. Roux},
- Date-Added = {2018-07-18 18:41:05 +0000},
- Date-Modified = {2018-07-18 18:41:51 +0000},
- Journal = {arXiv preprint},
- Keywords = {Entanglement Spectrum},
- Title = {The distribution of the ratio of consecutive level spacings in random matrix ensembles},
- Year = {2012},
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-
-@article{freed:p2018a,
- Author = {Daniel S. Freed},
- Date-Added = {2018-07-18 15:34:13 +0000},
- Date-Modified = {2018-07-18 15:34:45 +0000},
- Journal = {Preprint},
- Keywords = {TQFT, Textbook, Math},
- Title = {Geometric Topics in Field Theory},
- Year = {2018},
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-
-@article{mcinnes:ap2018a,
- Author = {McInnes, Leland and Healy, John and Melville, James},
- Date-Added = {2018-07-18 15:33:04 +0000},
- Date-Modified = {2019-06-19 11:17:59 -0400},
- Journal = {arXiv preprint arXiv:1802.03426},
- Keywords = {Unsupervised Learning, Computation},
- Title = {UMAP: Uniform Manifold Approximation and Projection for Dimension Reduction},
- Year = {2018},
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-
-@article{elgazzar:nm2009a,
- Author = {Elgazzar, S. and Rusz, J. and Amft, M. and Oppeneer, P. M. and Mydosh, J. A.},
- Date = {2009/02/22/online},
- Date-Added = {2018-07-17 20:16:39 +0000},
- Date-Modified = {2018-07-17 20:17:18 +0000},
- Day = {22},
- Journal = {Nature Materials},
- Keywords = {URu2Si2},
- L3 = {10.1038/nmat2395; https://www.nature.com/articles/nmat2395#supplementary-information},
- M3 = {Article},
- Month = {02},
- Pages = {337 EP -},
- Publisher = {Nature Publishing Group SN -},
- Title = {Hidden order in URu2Si2 originates from Fermi surface gapping induced by dynamic symmetry breaking},
- Ty = {JOUR},
- Url = {http://dx.doi.org/10.1038/nmat2395},
- Volume = {8},
- Year = {2009},
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- Bdsk-Url-1 = {http://dx.doi.org/10.1038/nmat2395}}
-
-@article{haule:np2009a,
- Annote = {A2g},
- Author = {Haule, Kristjan and Kotliar, Gabriel},
- Date = {2009/09/06/online},
- Date-Added = {2018-07-17 20:13:18 +0000},
- Date-Modified = {2018-08-10 04:36:03 +0000},
- Day = {06},
- Journal = {Nature Physics},
- Keywords = {URu2Si2},
- L3 = {10.1038/nphys1392; https://www.nature.com/articles/nphys1392#supplementary-information},
- Month = {09},
- Pages = {796 EP -},
- Publisher = {Nature Publishing Group SN -},
- Title = {Arrested Kondo effect and hidden order in URu2Si2},
- Ty = {JOUR},
- Url = {http://dx.doi.org/10.1038/nphys1392},
- Volume = {5},
- Year = {2009},
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- Bdsk-Url-1 = {http://dx.doi.org/10.1038/nphys1392}}
-
-@article{harima:jpsj2010a,
- Annote = {Oxy type quadropole},
- Author = {Harima ,Hisatomo and Miyake ,Kazumasa and Flouquet ,Jacques},
- Date-Added = {2018-07-17 20:12:30 +0000},
- Date-Modified = {2018-08-10 15:23:55 +0000},
- Doi = {10.1143/JPSJ.79.033705},
- Eprint = {https://doi.org/10.1143/JPSJ.79.033705},
- Journal = {Journal of the Physical Society of Japan},
- Keywords = {URu2Si2},
- Number = {3},
- Pages = {033705},
- Title = {Why the Hidden Order in URu2Si2 Is Still Hidden--One Simple Answer},
- Url = {https://doi.org/10.1143/JPSJ.79.033705},
- Volume = {79},
- Year = {2010},
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- Bdsk-Url-1 = {https://doi.org/10.1143/JPSJ.79.033705}}
-
-@article{kusunose:jpsj2011a,
- Annote = {I think this one is A2g},
- Author = {Kusunose ,Hiroaki and Harima ,Hisatomo},
- Date-Added = {2018-07-17 20:10:40 +0000},
- Date-Modified = {2018-08-10 04:35:30 +0000},
- Doi = {10.1143/JPSJ.80.084702},
- Eprint = {https://doi.org/10.1143/JPSJ.80.084702},
- Journal = {Journal of the Physical Society of Japan},
- Keywords = {URu2Si2},
- Number = {8},
- Pages = {084702},
- Title = {On the Hidden Order in URu2Si2 -- Antiferro Hexadecapole Order and Its Consequences},
- Url = {https://doi.org/10.1143/JPSJ.80.084702},
- Volume = {80},
- Year = {2011},
- Bdsk-File-1 = {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},
- Bdsk-Url-1 = {https://doi.org/10.1143/JPSJ.80.084702}}
-
-@article{varma:prl2006a,
- Author = {Varma, C. M. and Zhu, Lijun},
- Date-Added = {2018-07-17 20:09:27 +0000},
- Date-Modified = {2018-07-17 20:09:41 +0000},
- Doi = {10.1103/PhysRevLett.96.036405},
- Issue = {3},
- Journal = {Phys. Rev. Lett.},
- Keywords = {URu2Si2},
- Month = {Jan},
- Numpages = {4},
- Pages = {036405},
- Publisher = {American Physical Society},
- Title = {Helicity Order: Hidden Order Parameter in ${\mathrm{URu}}_{2}{\mathrm{Si}}_{2}$},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.96.036405},
- Volume = {96},
- Year = {2006},
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-
-@article{wetzel:pr2017b,
- Author = {Wetzel, Sebastian J. and Scherzer, Manuel},
- Date-Added = {2018-07-11 16:46:44 +0000},
- Date-Modified = {2018-08-17 17:59:40 +0000},
- Doi = {10.1103/PhysRevB.96.184410},
- Issue = {18},
- Journal = {Phys. Rev. B},
- Keywords = {Machine Learning, Disordered FQH Paper},
- Month = {Nov},
- Numpages = {8},
- Pages = {184410},
- Publisher = {American Physical Society},
- Title = {Machine learning of explicit order parameters: From the Ising model to SU(2) lattice gauge theory},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.96.184410},
- Volume = {96},
- Year = {2017},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.96.184410},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevB.96.184410}}
-
-@article{c.-casert:ap2018a,
- Author = {C. Casert, T. Vieijra, J. Nys, J. Ryckebusch},
- Date-Added = {2018-07-11 16:45:32 +0000},
- Date-Modified = {2018-07-11 16:46:16 +0000},
- Journal = {arXiv preprint},
- Keywords = {Machine Learning, Unsupervised Learning},
- Read = {1},
- Title = {Interpretable Machine Learning for Inferring the Phase Boundaries in a Non-equilibrium System},
- Year = {2018},
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-
-@article{a.-p.-lyubartsev:jcp1992a,
- Author = {A. P. Lyubartsev, A. A. Martsinovski, S. V. Shevkunov, and P. N. Vorontsov-Velyaminov A. P. Lyubartsev, A. A. Martsinovski, S. V. Shevkunov, and P. N. Vorontsov-Velyaminov AP Lyubartsev and AA Martsinovski and SV Shevkunov and PN Vorontsov-Velyaminov},
- Date-Added = {2018-07-02 15:46:14 +0000},
- Date-Modified = {2018-07-02 15:48:23 +0000},
- Journal = {The Journal of Chemical Physics},
- Keywords = {Monte Carlo, Computation},
- Title = {New approach to Monte Carlo calculation of the free energy: Method of expanded ensembles},
- Year = {1992},
- Bdsk-File-1 = {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}}
-
-@article{chen:pr2013a,
- Author = {Chen, Xie and Gu, Zheng-Cheng and Liu, Zheng-Xin and Wen, Xiao-Gang},
- Date-Added = {2018-07-02 15:44:46 +0000},
- Date-Modified = {2018-07-02 15:45:43 +0000},
- Doi = {10.1103/PhysRevB.87.155114},
- Issue = {15},
- Journal = {Phys. Rev. B},
- Keywords = {SPT Phases},
- Month = {Apr},
- Numpages = {48},
- Pages = {155114},
- Publisher = {American Physical Society},
- Title = {Symmetry protected topological orders and the group cohomology of their symmetry group},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.87.155114},
- Volume = {87},
- Year = {2013},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.87.155114},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevB.87.155114}}
-
-@article{riggs:nc2015a,
- Author = {Riggs, Scott C. and Shapiro, M. C. and Maharaj, Akash V and Raghu, S. and Bauer, E. D. and Baumbach, R. E. and Giraldo-Gallo, P. and Wartenbe, Mark and Fisher, I. R.},
- Date = {2015/03/06/online},
- Date-Added = {2018-06-12 18:52:19 +0000},
- Date-Modified = {2018-06-12 18:52:55 +0000},
- Day = {06},
- Journal = {Nature Communications},
- Keywords = {URu2Si2},
- L3 = {10.1038/ncomms7425; https://www.nature.com/articles/ncomms7425#supplementary-information},
- M3 = {Article},
- Month = {03},
- Pages = {6425 EP -},
- Publisher = {Nature Publishing Group, a division of Macmillan Publishers Limited. All Rights Reserved. SN -},
- Title = {Evidence for a nematic component to the hidden-order parameter in URu2Si2 from differential elastoresistance measurements},
- Ty = {JOUR},
- Url = {http://dx.doi.org/10.1038/ncomms7425},
- Volume = {6},
- Year = {2015},
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- Bdsk-Url-1 = {http://dx.doi.org/10.1038/ncomms7425}}
-
-@article{amitsuka:pcm2002a,
- Author = {Hiroshi Amitsuka and Makoto Yokoyama and Shikou Miyazaki and Kenichi Tenya and Toshiro Sakakibara and Wataru Higemoto and Kanetada Nagamine and Kazuyuki Matsuda and Yoh Kohori and Takao Kohara},
- Date-Added = {2018-06-04 15:27:33 +0000},
- Date-Modified = {2018-06-04 17:00:59 +0000},
- Doi = {https://doi.org/10.1016/S0921-4526(01)01343-6},
- Issn = {0921-4526},
- Journal = {Physica B: Condensed Matter},
- Keywords = {URu2Si2},
- Note = {The International Conference on Strongly Correlated Electron Systems},
- Pages = {390 - 396},
- Title = {Hidden order and weak antiferromagnetism in URu2Si2},
- Url = {http://www.sciencedirect.com/science/article/pii/S0921452601013436},
- Volume = {312-313},
- Year = {2002},
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- Bdsk-Url-2 = {https://doi.org/10.1016/S0921-4526(01)01343-6}}
-
-@article{ghosh:upn2018a,
- Author = {Sayak Ghosh},
- Date-Added = {2018-05-29 20:10:06 +0000},
- Date-Modified = {2018-05-29 20:10:52 +0000},
- Journal = {Ultrasound Project Notes},
- Keywords = {Notes},
- Title = {Elastic Moduli Jumps in URu2Si2},
- Year = {2018},
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-
-@article{plischke:wsp2006a,
- Author = {Michael Plischke and Birger Bergersen},
- Date-Added = {2018-05-22 20:09:13 +0000},
- Date-Modified = {2018-05-22 20:11:43 +0000},
- Journal = {World Scientific Publishing},
- Keywords = {Textbook},
- Title = {Equilibrium Statistical Physics},
- Year = {2006},
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-
-@article{nowack:ln2018a,
- Author = {Katja Nowack},
- Date-Added = {2018-05-22 19:37:04 +0000},
- Date-Modified = {2018-05-23 18:33:08 +0000},
- Journal = {Lecture Notes},
- Keywords = {Notes},
- Title = {Advanced Solid State Physics Lecture Notes},
- Year = {2018},
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-
-@article{RevModPhys.81.807,
- Author = {Santini, Paolo and Carretta, Stefano and Amoretti, Giuseppe and Caciuffo, Roberto and Magnani, Nicola and Lander, Gerard H.},
- Date-Added = {2018-05-10 14:12:39 +0000},
- Date-Modified = {2018-05-10 14:12:52 +0000},
- Doi = {10.1103/RevModPhys.81.807},
- Issue = {2},
- Journal = {Rev. Mod. Phys.},
- Keywords = {Review Paper},
- Month = {Jun},
- Numpages = {0},
- Pages = {807--863},
- Publisher = {American Physical Society},
- Title = {Multipolar interactions in $f$-electron systems: The paradigm of actinide dioxides},
- Url = {https://link.aps.org/doi/10.1103/RevModPhys.81.807},
- Volume = {81},
- Year = {2009},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/RevModPhys.81.807},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/RevModPhys.81.807}}
-
-@article{schwarz:jac2000a,
- Author = {R.B Schwarz and J.F Vuorinen},
- Date-Added = {2018-04-23 15:19:20 +0000},
- Date-Modified = {2018-04-23 15:19:37 +0000},
- Doi = {https://doi.org/10.1016/S0925-8388(00)00925-7},
- Issn = {0925-8388},
- Journal = {Journal of Alloys and Compounds},
- Keywords = {Review Paper},
- Note = {Intern. Conf. Internal Friction and Ultrasonic Attentuation in Solids (ICIFUAS-12)},
- Number = {1},
- Pages = {243 - 250},
- Title = {Resonant ultrasound spectroscopy: applications, current status and limitations},
- Url = {http://www.sciencedirect.com/science/article/pii/S0925838800009257},
- Volume = {310},
- Year = {2000},
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- Bdsk-Url-2 = {https://doi.org/10.1016/S0925-8388(00)00925-7}}
-
-@article{mydosh:rmp2011a,
- Author = {Mydosh, J. A. and Oppeneer, P. M.},
- Date-Added = {2018-04-19 21:37:09 +0000},
- Date-Modified = {2018-04-19 21:37:51 +0000},
- Doi = {10.1103/RevModPhys.83.1301},
- Issue = {4},
- Journal = {Rev. Mod. Phys.},
- Keywords = {Review Paper, URu2Si2},
- Month = {Nov},
- Numpages = {0},
- Pages = {1301--1322},
- Publisher = {American Physical Society},
- Title = {Colloquium: Hidden order, superconductivity, and magnetism: The unsolved case of URu2Si2},
- Url = {https://link.aps.org/doi/10.1103/RevModPhys.83.1301},
- Volume = {83},
- Year = {2011},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/RevModPhys.83.1301},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/RevModPhys.83.1301}}
-
-@article{sigrist:cp2005a,
- Author = {Manfred Sigrist},
- Date-Added = {2018-04-18 21:05:36 +0000},
- Date-Modified = {2018-04-18 21:07:12 +0000},
- Journal = {AIP Conference Proceedings},
- Keywords = {Notes},
- Title = {Introduction to Unconventional Superconductivity},
- Year = {2005},
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-
-@article{schliemann:pr2011a,
- Author = {Schliemann, John},
- Date-Added = {2018-04-16 19:08:26 +0000},
- Date-Modified = {2018-08-17 16:34:45 +0000},
- Doi = {10.1103/PhysRevB.83.115322},
- Issue = {11},
- Journal = {Phys. Rev. B},
- Keywords = {Entanglement Spectrum, Disordered FQH Paper},
- Month = {Mar},
- Numpages = {5},
- Pages = {115322},
- Publisher = {American Physical Society},
- Title = {Entanglement spectrum and entanglement thermodynamics of quantum Hall bilayers at $\ensuremath{\nu}=1$},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.83.115322},
- Volume = {83},
- Year = {2011},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.83.115322},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevB.83.115322}}
-
-@article{you:ap2015a,
- Author = {Yi-Zhuang You and Cenke Xu},
- Date-Added = {2018-04-12 16:48:25 +0000},
- Date-Modified = {2018-04-12 16:49:21 +0000},
- Journal = {arXiv preprint},
- Keywords = {SPT Phases},
- Title = {Symmetry Protected Topological States of Interacting Fermions and Bosons},
- Year = {2015},
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-
-@article{kapustin:ap2015a,
- Author = {Anton Kapustin and Ryan Thorngren and Alex Turzillo and Zitao Wang},
- Date-Added = {2018-04-12 16:46:21 +0000},
- Date-Modified = {2018-04-12 16:47:39 +0000},
- Journal = {arXiv preprint},
- Keywords = {SPT Phases},
- Title = {Fermionic Symmetry Protected Topological Phases and Cobordisms Fermionic Symmetry Protected Topological Phases and Cobordisms},
- Year = {2015},
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-
-@article{angulo:pismm2007a,
- Author = {Jesus Angulo and Dominique Jeulin},
- Date-Added = {2018-04-02 16:01:41 +0000},
- Date-Modified = {2018-04-02 16:03:29 +0000},
- Journal = {Proceedings of the 8th International Symposium on Mathematical Morphology},
- Keywords = {Computation},
- Title = {Stochastic watershed segmentation},
- Year = {2007},
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-
-@article{navlakha:b2013a,
- Abstract = {Segmenting electron microscopy (EM) images of cellular and subcellular processes in the nervous system is a key step in many bioimaging pipelines involving classification and labeling of ultrastructures. However, fully automated techniques to segment images are often susceptible to noise and heterogeneity in EM images (e.g. different histological preparations, different organisms, different brain regions, etc.). Supervised techniques to address this problem are often helpful but require large sets of training data, which are often difficult to obtain in practice, especially across many conditions.},
- Annote = {https://github.com/pahammad/SalientWatersheds},
- Author = {Navlakha, Saket and Ahammad, Parvez and Myers, Eugene W.},
- Date-Added = {2018-04-02 15:29:13 +0000},
- Date-Modified = {2018-04-02 15:30:39 +0000},
- Day = {04},
- Doi = {10.1186/1471-2105-14-294},
- Issn = {1471-2105},
- Journal = {BMC Bioinformatics},
- Keywords = {Computation},
- Month = {Oct},
- Number = {1},
- Pages = {294},
- Title = {Unsupervised segmentation of noisy electron microscopy images using salient watersheds and region merging},
- Url = {https://doi.org/10.1186/1471-2105-14-294},
- Volume = {14},
- Year = {2013},
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- Bdsk-Url-1 = {https://doi.org/10.1186/1471-2105-14-294}}
-
-@article{verresen:ap2017a,
- Author = {Ruben Verresen and Roderich Moessner and Frank Pollmann},
- Date-Added = {2018-03-23 14:37:25 +0000},
- Date-Modified = {2018-04-24 20:40:04 +0000},
- Journal = {arXiv preprint},
- Keywords = {SPT Phases},
- Title = {One-dimensional symmetry protected topological phases and their transitions},
- Year = {2017},
- Bdsk-File-1 = {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}}
-
-@article{senthil:arcmp2015a,
- Abstract = { We describe recent progress in our understanding of the interplay between interactions, symmetry, and topology in states of quantum matter. We focus on a minimal generalization of the celebrated topological band insulators (TBIs) to interacting many-particle systems known as symmetry-protected topological (SPT) phases. As with the TBIs, these states have a bulk gap and no exotic excitations but have nontrivial surface states that are protected by symmetry. We describe the various possible phases and their properties in three-dimensional systems with realistic symmetries. We develop many key ideas for the theory of these states using simple examples. The emphasis is on physical rather than mathematical properties. We survey insights obtained from the study of SPT phases for a number of other theoretical problems. },
- Author = {T. Senthil},
- Date-Added = {2018-03-23 14:36:27 +0000},
- Date-Modified = {2018-04-24 20:42:53 +0000},
- Doi = {10.1146/annurev-conmatphys-031214-014740},
- Eprint = {https://doi.org/10.1146/annurev-conmatphys-031214-014740},
- Journal = {Annual Review of Condensed Matter Physics},
- Keywords = {SPT Phases},
- Number = {1},
- Pages = {299-324},
- Title = {Symmetry-Protected Topological Phases of Quantum Matter},
- Url = {https://doi.org/10.1146/annurev-conmatphys-031214-014740},
- Volume = {6},
- Year = {2015},
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- Bdsk-Url-1 = {https://doi.org/10.1146/annurev-conmatphys-031214-014740}}
-
-@article{islam:ap2015a,
- Author = {Rajibul Islam and Ruichao Ma and Philipp M. Preiss and M. Eric Tai and Alexander Lukin and Matthew Rispoli and Markus Greiner},
- Date-Added = {2018-03-23 14:33:19 +0000},
- Date-Modified = {2018-03-23 14:34:15 +0000},
- Journal = {arXiv preprint},
- Keywords = {Entanglement Entropy},
- Title = {Measuring entanglement entropy through the interference of quantum many-body twins},
- Year = {2015},
- Bdsk-File-1 = {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}}
-
-@article{qi:ap2017a,
- Author = {Xiao-Liang Qi and Daniel Ranard},
- Date-Added = {2018-03-19 16:37:54 +0000},
- Date-Modified = {2018-03-19 16:38:30 +0000},
- Journal = {arXiv preprint},
- Keywords = {Computation},
- Title = {Determining a local Hamiltonian from a single eigenstate},
- Year = {2017},
- Bdsk-File-1 = {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}}
-
-@article{chertkov:ap2018a,
- Author = {Eli Chertkov and Bryan K. Clark},
- Date-Added = {2018-03-19 16:36:31 +0000},
- Date-Modified = {2018-03-19 16:37:26 +0000},
- Journal = {arXiv preprint},
- Keywords = {Computation},
- Title = {A computational inverse method for constructing spaces of quantum models from wave functions},
- Year = {2018},
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-
-@article{matty:jsmte2015a,
- Abstract = {The Potts Hamiltonian provides a conceptually simple model of discrete variables with highly non-trivial properties. It has been studied extensively, and many of its properties are now well known. In this paper, we investigate a generalization of the Potts model to include multi-spin interactions. Following the work of Chayes and Machta, the Fortuin--Kastelyn transformation is generalized to enable us to use cluster methods in addition to the usual Metropolis algorithm for computer simulations. We have computed the critical properties of this model using both a finite-size scaling analysis with histograms and the Monte Carlo renormalization-group (MCRG) to determine the critical temperatures and exponents.},
- Author = {Michael Matty and Philip Mansfield and Kelsey Hallinen and Joseph Albert and Robert H Swendsen},
- Date-Added = {2018-03-14 14:36:14 +0000},
- Date-Modified = {2018-03-14 14:37:10 +0000},
- Journal = {Journal of Statistical Mechanics: Theory and Experiment},
- Keywords = {Statistical Mechanics, My Papers},
- Number = {1},
- Pages = {P01026},
- Title = {Cluster simulations of multi-spin Potts models},
- Url = {http://stacks.iop.org/1742-5468/2015/i=1/a=P01026},
- Volume = {2015},
- Year = {2015},
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- Bdsk-Url-1 = {http://stacks.iop.org/1742-5468/2015/i=1/a=P01026}}
-
-@article{kasahara:ap2017a,
- Author = {Y. Kasahara and K. Sugii and T. Ohnishi and M. Shimozawa and M. Yamashita and N. Kurita and H. Tanaka and J. Nasu and Y. Motome and T. Shibauchi and Y. Matsuda},
- Date-Added = {2018-03-14 02:54:55 +0000},
- Date-Modified = {2018-03-14 02:56:31 +0000},
- Journal = {arXiv preprint},
- Keywords = {Spin Liquid},
- Title = {Unusual thermal Hall effect in a Kitaev spin liquid candidate aRuCl3},
- Year = {2017},
- Bdsk-File-1 = {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}}
-
-@article{wu:ap2018a,
- Author = {Yadong Wu and Pengfei Zhang and Huitao Shen and Hui Zhai},
- Date-Added = {2018-03-14 02:53:13 +0000},
- Date-Modified = {2018-03-14 02:53:54 +0000},
- Journal = {arXiv preprint},
- Keywords = {Machine Learning},
- Title = {Visualizing Neural Network Developing Perturbation Theory},
- Year = {2018},
- Bdsk-File-1 = {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}}
-
-@article{torlai:ap2018a,
- Author = {Giacomo Torlai and Roger G. Melko},
- Date-Added = {2018-03-14 02:51:26 +0000},
- Date-Modified = {2018-03-14 02:52:41 +0000},
- Journal = {arXiv preprint},
- Keywords = {Machine Learning},
- Title = {Latent Space Purification via Neural Density Operators},
- Year = {2018},
- Bdsk-File-1 = {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}}
-
-@article{carvalho:ap2018a,
- Author = {D. Carvalho and N. A. Garcia-Martinez and J. L. Lado and J. Fernandez-Rossier},
- Date-Added = {2018-03-14 02:47:45 +0000},
- Date-Modified = {2018-03-14 02:50:00 +0000},
- Journal = {arXiv preprint},
- Keywords = {Machine Learning},
- Title = {Real space mapping of topological invariants using artificial neural networks},
- Year = {2018},
- Bdsk-File-1 = {YnBsaXN0MDDSAQIDBFxyZWxhdGl2ZVBhdGhZYWxpYXNEYXRhXxBwZG9jcy9jYXJ2YWxoby9jYXJ2YWxob18oMjAxOGEpX3JlYWwgc3BhY2UgbWFwcGluZyBvZiB0b3BvbG9naWNhbCBpbnZhcmlhbnRzIHVzaW5nIGFydGlmaWNpYWwgbmV1cmFsIG5ldHdvcmtzLnBkZk8RAtwAAAAAAtwAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAAAAAABCRAAB/////x9jYXJ2YWxob18oMjAxOGEpX3IjRkZGRkZGRkYucGRmAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD/////AAAAAAAAAAAAAAAAAAEABAAACiBjdQAAAAAAAAAAAAAAAAAIY2FydmFsaG8AAgCeLzpVc2VyczptaWNoYWVsbWF0dHk6RHJvcGJveDpjaXRhdGlvbl9saWJyYXJ5OmRvY3M6Y2FydmFsaG86Y2FydmFsaG9fKDIwMThhKV9yZWFsIHNwYWNlIG1hcHBpbmcgb2YgdG9wb2xvZ2ljYWwgaW52YXJpYW50cyB1c2luZyBhcnRpZmljaWFsIG5ldXJhbCBuZXR3b3Jrcy5wZGYADgDGAGIAYwBhAHIAdgBhAGwAaABvAF8AKAAyADAAMQA4AGEAKQBfAHIAZQBhAGwAIABzAHAAYQBjAGUAIABtAGEAcABwAGkAbgBnACAAbwBmACAAdABvAHAAbwBsAG8AZwBpAGMAYQBsACAAaQBuAHYAYQByAGkAYQBuAHQAcwAgAHUAcwBpAG4AZwAgAGEAcgB0AGkAZgBpAGMAaQBhAGwAIABuAGUAdQByAGEAbAAgAG4AZQB0AHcAbwByAGsAcwAuAHAAZABmAA8AGgAMAE0AYQBjAGkAbgB0AG8AcwBoACAASABEABIAnFVzZXJzL21pY2hhZWxtYXR0eS9Ecm9wYm94L2NpdGF0aW9uX2xpYnJhcnkvZG9jcy9jYXJ2YWxoby9jYXJ2YWxob18oMjAxOGEpX3JlYWwgc3BhY2UgbWFwcGluZyBvZiB0b3BvbG9naWNhbCBpbnZhcmlhbnRzIHVzaW5nIGFydGlmaWNpYWwgbmV1cmFsIG5ldHdvcmtzLnBkZgATAAEvAAAVAAIAE///AAAACAANABoAJACXAAAAAAAAAgEAAAAAAAAABQAAAAAAAAAAAAAAAAAAA3c=}}
-
-@article{haldane:prl1985a,
- Author = {Haldane, F. D. M. and Rezayi, E. H.},
- Date-Added = {2018-02-28 21:34:53 +0000},
- Date-Modified = {2018-08-17 16:33:57 +0000},
- Doi = {10.1103/PhysRevLett.54.237},
- Issue = {3},
- Journal = {Phys. Rev. Lett.},
- Keywords = {Pseudopotential Shift, Quantum Hall Effect, Fractional Quantum Hall, Disordered FQH Paper},
- Month = {Jan},
- Numpages = {0},
- Pages = {237--240},
- Publisher = {American Physical Society},
- Title = {Finite-Size Studies of the Incompressible State of the Fractionally Quantized Hall Effect and its Excitations},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.54.237},
- Volume = {54},
- Year = {1985},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevLett.54.237},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevLett.54.237}}
-
-@article{thouless:prl1982a,
- Author = {Thouless, D. J. and Kohmoto, M. and Nightingale, M. P. and den Nijs, M.},
- Date-Added = {2018-02-22 16:50:48 +0000},
- Date-Modified = {2018-02-22 16:51:10 +0000},
- Doi = {10.1103/PhysRevLett.49.405},
- Issue = {6},
- Journal = {Phys. Rev. Lett.},
- Keywords = {Quantum Hall Effect},
- Month = {Aug},
- Numpages = {0},
- Pages = {405--408},
- Publisher = {American Physical Society},
- Title = {Quantized Hall Conductance in a Two-Dimensional Periodic Potential},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.49.405},
- Volume = {49},
- Year = {1982},
- Bdsk-File-1 = {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},
- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevLett.49.405},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevLett.49.405}}
-
-@article{dugdale:ps2016a,
- Abstract = {The concept of the Fermi surface is at the very heart of our understanding of the metallic state. Displaying intricate and often complicated shapes, the Fermi surfaces of real metals are both aesthetically beautiful and subtly powerful. A range of examples is presented of the startling array of physical phenomena whose origin can be traced to the shape of the Fermi surface, together with experimental observations of the particular Fermi surface features.},
- Author = {S B Dugdale},
- Date-Added = {2018-02-22 16:49:52 +0000},
- Date-Modified = {2018-02-22 16:50:20 +0000},
- Journal = {Physica Scripta},
- Keywords = {Notes},
- Number = {5},
- Pages = {053009},
- Title = {Life on the edge: a beginner's guide to the Fermi surface},
- Url = {http://stacks.iop.org/1402-4896/91/i=5/a=053009},
- Volume = {91},
- Year = {2016},
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- Bdsk-Url-1 = {http://stacks.iop.org/1402-4896/91/i=5/a=053009}}
-
-@article{chng:pr2018a,
- Author = {Ch'ng, Kelvin and Vazquez, Nick and Khatami, Ehsan},
- Date-Added = {2018-02-16 21:58:51 +0000},
- Date-Modified = {2018-08-17 18:08:56 +0000},
- Doi = {10.1103/PhysRevE.97.013306},
- Issue = {1},
- Journal = {Phys. Rev. E},
- Keywords = {Machine Learning, Disordered FQH Paper},
- Month = {Jan},
- Numpages = {10},
- Pages = {013306},
- Publisher = {American Physical Society},
- Title = {Unsupervised machine learning account of magnetic transitions in the Hubbard model},
- Url = {https://link.aps.org/doi/10.1103/PhysRevE.97.013306},
- Volume = {97},
- Year = {2018},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevE.97.013306},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevE.97.013306}}
-
-@article{wetzel:pr2017a,
- Author = {Wetzel, Sebastian J.},
- Date-Added = {2018-02-16 21:53:55 +0000},
- Date-Modified = {2018-08-17 17:59:49 +0000},
- Doi = {10.1103/PhysRevE.96.022140},
- Issue = {2},
- Journal = {Phys. Rev. E},
- Keywords = {Machine Learning, Disordered FQH Paper},
- Month = {Aug},
- Numpages = {11},
- Pages = {022140},
- Publisher = {American Physical Society},
- Title = {Unsupervised learning of phase transitions: From principal component analysis to variational autoencoders},
- Url = {https://link.aps.org/doi/10.1103/PhysRevE.96.022140},
- Volume = {96},
- Year = {2017},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevE.96.022140},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevE.96.022140}}
-
-@article{wang:pr2016a,
- Author = {Wang, Lei},
- Date-Added = {2018-02-16 21:40:20 +0000},
- Date-Modified = {2018-08-17 17:21:12 +0000},
- Doi = {10.1103/PhysRevB.94.195105},
- Issue = {19},
- Journal = {Phys. Rev. B},
- Keywords = {Machine Learning, Disordered FQH Paper},
- Month = {Nov},
- Numpages = {5},
- Pages = {195105},
- Publisher = {American Physical Society},
- Title = {Discovering phase transitions with unsupervised learning},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.94.195105},
- Volume = {94},
- Year = {2016},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.94.195105},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevB.94.195105}}
-
-@article{kyle-mills:ap2017a,
- Author = {Kyle Mills, Isaac Tamblyn},
- Date-Added = {2018-02-15 15:25:59 +0000},
- Date-Modified = {2018-02-15 15:26:30 +0000},
- Journal = {arXiv preprint},
- Keywords = {Machine Learning},
- Title = {Phase space sampling and operator confidence with generative adversarial networks},
- Year = {2017},
- Bdsk-File-1 = {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}}
-
-@article{liu:pr2017b,
- Annote = {Have to define some effective Hamiltonian for optimizing couplings},
- Author = {Liu, Junwei and Qi, Yang and Meng, Zi Yang and Fu, Liang},
- Date-Added = {2018-02-15 01:13:30 +0000},
- Date-Modified = {2018-08-17 16:12:44 +0000},
- Doi = {10.1103/PhysRevB.95.041101},
- Issue = {4},
- Journal = {Phys. Rev. B},
- Keywords = {Machine Learning, Disordered FQH Paper},
- Month = {Jan},
- Numpages = {5},
- Pages = {041101},
- Publisher = {American Physical Society},
- Title = {Self-learning Monte Carlo method},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.95.041101},
- Volume = {95},
- Year = {2017},
- Bdsk-File-1 = {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},
- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.95.041101},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevB.95.041101}}
-
-@article{torlai:pr2016a,
- Annote = {Study 1D and 2D ising models.
-Train restricted Boltzmann machines to reproduce physical probability distribution
-of spin configurations.
-Evaluate performance by collecting large number of MC configurations, or by comparing
-observables to those produced by MC sampling.
-
-Opinion:
-This is dumb. I really want to see comparisons of computational costs for training the network
-and just averaging over MC configurations. Also this is clearly limited by all the limitations of
-MC. For example, when you have a sign problem sampled configurations will still be affected
-by the same issue and thus the modelled probability distribution will.
-
-Uses RBM
-
-I don't see how this is any better for classical systems and I don't see how it would work for quantum systems},
- Author = {Torlai, Giacomo and Melko, Roger G.},
- Date-Added = {2018-02-14 22:29:25 +0000},
- Date-Modified = {2018-02-15 00:43:55 +0000},
- Doi = {10.1103/PhysRevB.94.165134},
- Issue = {16},
- Journal = {Phys. Rev. B},
- Keywords = {Machine Learning},
- Month = {Oct},
- Numpages = {7},
- Pages = {165134},
- Publisher = {American Physical Society},
- Title = {Learning thermodynamics with Boltzmann machines},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.94.165134},
- Volume = {94},
- Year = {2016},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.94.165134},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevB.94.165134}}
-
-@article{simon:oup2016a,
- Author = {Steve Simon},
- Date-Added = {2018-02-14 03:45:35 +0000},
- Date-Modified = {2018-02-14 03:46:27 +0000},
- Journal = {Oxford University Press},
- Keywords = {TQFT, Notes},
- Title = {Topological Quantum: Lecture Notes},
- Year = {2016},
- Bdsk-File-1 = {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}}
-
-@article{rameau:jesrp2010a,
- Author = {J.D. Rameau and H.-B. Yang and P.D. Johnson},
- Date-Added = {2018-02-06 18:27:59 +0000},
- Date-Modified = {2018-02-06 18:53:12 +0000},
- Doi = {https://doi.org/10.1016/j.elspec.2010.05.025},
- Issn = {0368-2048},
- Journal = {Journal of Electron Spectroscopy and Related Phenomena},
- Keywords = {Computation},
- Note = {Proceedings of International Workshop on Strong Correlations and Angle-Resolved Photoemission Spectroscopy 2009},
- Number = {1},
- Pages = {35 - 43},
- Title = {Application of the Lucy--Richardson deconvolution procedure to high resolution photoemission spectra},
- Url = {http://www.sciencedirect.com/science/article/pii/S036820481000126X},
- Volume = {181},
- Year = {2010},
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- Bdsk-Url-2 = {https://doi.org/10.1016/j.elspec.2010.05.025}}
-
-@article{bruno:ap2005a,
- Author = {Patrick Bruno},
- Date-Added = {2018-02-05 20:05:06 +0000},
- Date-Modified = {2018-02-05 20:05:42 +0000},
- Journal = {arXiv preprint},
- Keywords = {Notes},
- Title = {Berry phase effects in magnetism},
- Year = {2005},
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-
-@article{carqueville:ap2017a,
- Author = {Nils Carqueville and Ingo Runkel},
- Date-Added = {2018-02-05 20:02:13 +0000},
- Date-Modified = {2018-02-05 20:02:47 +0000},
- Journal = {arXiv preprint},
- Keywords = {Math, TQFT},
- Title = {Introductory lectures on topological quantum field theory},
- Year = {2017},
- Bdsk-File-1 = {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}}
-
-@article{atiyah:tjm1997a,
- Author = {Michael Atiyah},
- Date-Added = {2018-02-05 20:00:59 +0000},
- Date-Modified = {2018-02-05 20:01:48 +0000},
- Journal = {Tr. J. of Mathematics},
- Keywords = {Math, TQFT},
- Title = {An Introduction to Topological Quantum Field Theories},
- Year = {1997},
- Bdsk-File-1 = {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}}
-
-@article{zhou:rmp2017a,
- Author = {Zhou, Yi and Kanoda, Kazushi and Ng, Tai-Kai},
- Date-Added = {2018-02-05 17:21:22 +0000},
- Date-Modified = {2018-02-14 22:30:40 +0000},
- Doi = {10.1103/RevModPhys.89.025003},
- Issue = {2},
- Journal = {Rev. Mod. Phys.},
- Keywords = {Review Paper},
- Month = {Apr},
- Numpages = {50},
- Pages = {025003},
- Publisher = {American Physical Society},
- Title = {Quantum spin liquid states},
- Url = {https://link.aps.org/doi/10.1103/RevModPhys.89.025003},
- Volume = {89},
- Year = {2017},
- Bdsk-File-1 = {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},
- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/RevModPhys.89.025003},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/RevModPhys.89.025003}}
-
-@article{zhang:pr2011a,
- Author = {Zhang, Yi and Grover, Tarun and Vishwanath, Ashvin},
- Date-Added = {2018-01-31 18:35:15 +0000},
- Date-Modified = {2018-02-14 22:30:37 +0000},
- Doi = {10.1103/PhysRevB.84.075128},
- Issue = {7},
- Journal = {Phys. Rev. B},
- Keywords = {Entanglement Entropy, Monte Carlo},
- Month = {Aug},
- Numpages = {7},
- Pages = {075128},
- Publisher = {American Physical Society},
- Title = {Topological entanglement entropy of ${\mathbb{Z}}_{2}$ spin liquids and lattice Laughlin states},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.84.075128},
- Volume = {84},
- Year = {2011},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.84.075128},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevB.84.075128}}
-
-@article{zhang:prl2011a,
- Author = {Zhang, Yi and Grover, Tarun and Vishwanath, Ashvin},
- Date-Added = {2018-01-31 18:34:15 +0000},
- Date-Modified = {2018-02-14 22:30:39 +0000},
- Doi = {10.1103/PhysRevLett.107.067202},
- Issue = {6},
- Journal = {Phys. Rev. Lett.},
- Keywords = {Entanglement Entropy, Monte Carlo},
- Month = {Aug},
- Numpages = {5},
- Pages = {067202},
- Publisher = {American Physical Society},
- Title = {Entanglement Entropy of Critical Spin Liquids},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.107.067202},
- Volume = {107},
- Year = {2011},
- Bdsk-File-1 = {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},
- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevLett.107.067202},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevLett.107.067202}}
-
-@article{tong:cup2016a,
- Author = {David Tong},
- Date-Added = {2018-01-31 18:32:56 +0000},
- Date-Modified = {2018-01-31 18:33:22 +0000},
- Journal = {Cambridge University Press},
- Keywords = {Textbook},
- Title = {The Quantum Hall Effect},
- Year = {2016},
- Bdsk-File-1 = {YnBsaXN0MDDSAQIDBFxyZWxhdGl2ZVBhdGhZYWxpYXNEYXRhXxAyZG9jcy90b25nL3RvbmdfKDIwMTZhKV90aGUgcXVhbnR1bSBoYWxsIGVmZmVjdC5wZGZPEQHoAAAAAAHoAAIAAAxNYWNpbnRvc2ggSEQAAAAAAAAAAAAAAAAAAAAAAAAAQkQAAf////8fdG9uZ18oMjAxNmEpX3RoZSBxI0ZGRkZGRkZGLnBkZgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA/////wAAAAAAAAAAAAAAAAABAAQAAAogY3UAAAAAAAAAAAAAAAAABHRvbmcAAgBgLzpVc2VyczptaWNoYWVsbWF0dHk6RHJvcGJveDpjaXRhdGlvbl9saWJyYXJ5OmRvY3M6dG9uZzp0b25nXygyMDE2YSlfdGhlIHF1YW50dW0gaGFsbCBlZmZlY3QucGRmAA4AUgAoAHQAbwBuAGcAXwAoADIAMAAxADYAYQApAF8AdABoAGUAIABxAHUAYQBuAHQAdQBtACAAaABhAGwAbAAgAGUAZgBmAGUAYwB0AC4AcABkAGYADwAaAAwATQBhAGMAaQBuAHQAbwBzAGgAIABIAEQAEgBeVXNlcnMvbWljaGFlbG1hdHR5L0Ryb3Bib3gvY2l0YXRpb25fbGlicmFyeS9kb2NzL3RvbmcvdG9uZ18oMjAxNmEpX3RoZSBxdWFudHVtIGhhbGwgZWZmZWN0LnBkZgATAAEvAAAVAAIAE///AAAACAANABoAJABZAAAAAAAAAgEAAAAAAAAABQAAAAAAAAAAAAAAAAAAAkU=}}
-
-@article{sheng:pr2002a,
- Author = {Sheng, D. N. and Wang, Ziqiang and Friedman, B.},
- Date-Added = {2018-01-31 18:31:04 +0000},
- Date-Modified = {2018-02-14 22:30:05 +0000},
- Doi = {10.1103/PhysRevB.66.161103},
- Issue = {16},
- Journal = {Phys. Rev. B},
- Keywords = {Disorder},
- Month = {Oct},
- Numpages = {4},
- Pages = {161103},
- Publisher = {American Physical Society},
- Title = {Role of disorder in half-filled high Landau levels},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.66.161103},
- Volume = {66},
- Year = {2002},
- Bdsk-File-1 = {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},
- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.66.161103},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevB.66.161103}}
-
-@article{senechal:s2004a,
- Author = {David Senechal and Andre-Marie Tremblay and Claude Bourbonnais},
- Date-Added = {2018-01-31 18:28:55 +0000},
- Date-Modified = {2018-01-31 18:32:07 +0000},
- Journal = {Springer},
- Keywords = {Textbook},
- Title = {Theoretical Methods for Strongly Correlated Electrons},
- Year = {2004},
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-
-@article{sachdev:cup2011a,
- Author = {Subir Sachdev},
- Date-Added = {2018-01-31 18:28:11 +0000},
- Date-Modified = {2018-01-31 18:32:01 +0000},
- Journal = {Cambridge University Press},
- Keywords = {Textbook},
- Title = {Quantum Phase Transitions},
- Year = {2011},
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-
-@article{prange:s1990a,
- Author = {Richard E. Prange and Steven M. Girvin},
- Date-Added = {2018-01-31 18:26:49 +0000},
- Date-Modified = {2018-08-17 17:31:37 +0000},
- Journal = {Springer-Verlag},
- Keywords = {Textbook, Disordered FQH Paper},
- Title = {The Quantum Hall Effect},
- Year = {1990},
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-
-@article{hastings:prl2010a,
- Author = {Hastings, Matthew B. and Gonz\'alez, Iv\'an and Kallin, Ann B. and Melko, Roger G.},
- Date-Added = {2018-01-31 17:59:52 +0000},
- Date-Modified = {2018-02-14 22:30:15 +0000},
- Doi = {10.1103/PhysRevLett.104.157201},
- Issue = {15},
- Journal = {Phys. Rev. Lett.},
- Keywords = {Monte Carlo, Entanglement Entropy},
- Month = {Apr},
- Numpages = {4},
- Pages = {157201},
- Publisher = {American Physical Society},
- Title = {Measuring Renyi Entanglement Entropy in Quantum Monte Carlo Simulations},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.104.157201},
- Volume = {104},
- Year = {2010},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevLett.104.157201},
- Bdsk-Url-2 = {https://dx.doi.org/10.1103/PhysRevLett.104.157201}}
-
-@article{freed:ap2016a,
- Author = {Daniel S. Freed},
- Date-Added = {2018-01-31 17:54:09 +0000},
- Date-Modified = {2018-01-31 17:56:47 +0000},
- Journal = {arXiv preprint},
- Keywords = {Math},
- Title = {Reflection positivity and invertible topological phases},
- Year = {2016},
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-
-@article{freed:ap2014a,
- Author = {Daniel S. Freed},
- Date-Added = {2018-01-31 17:51:43 +0000},
- Date-Modified = {2018-01-31 17:56:53 +0000},
- Journal = {arXiv preprint},
- Keywords = {Math},
- Title = {Short-range entanglement and invertible field theories},
- Year = {2014},
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-
-@article{fradkin:cup2013a,
- Author = {Eduardo Fradkin},
- Date-Added = {2018-01-31 17:50:13 +0000},
- Date-Modified = {2018-01-31 17:56:30 +0000},
- Journal = {Cambridge University Press},
- Keywords = {Textbook, Condensed Matter Physics},
- Title = {Field Theories of Condensed Matter Physics},
- Year = {2013},
- Bdsk-File-1 = {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}}
-
-@article{campbell:ap2017a,
- Author = {Jonathan A. Campbell},
- Date-Added = {2018-01-31 17:48:14 +0000},
- Date-Modified = {2018-01-31 17:56:15 +0000},
- Journal = {arXiv preprint},
- Keywords = {Math},
- Title = {Homotopy Theoretic Classification of Symmetry Protected Phases},
- Year = {2017},
- Bdsk-File-1 = {YnBsaXN0MDDSAQIDBFxyZWxhdGl2ZVBhdGhZYWxpYXNEYXRhXxBhZG9jcy9jYW1wYmVsbC9jYW1wYmVsbF8oMjAxN2EpX2hvbW90b3B5IHRoZW9yZXRpYyBjbGFzc2lmaWNhdGlvbiBvZiBzeW1tZXRyeSBwcm90ZWN0ZWQgcGhhc2VzLnBkZk8RAqIAAAAAAqIAAgAADE1hY2ludG9zaCBIRAAAAAAAAAAAAAAAAAAAAAAAAABCRAAB/////x9jYW1wYmVsbF8oMjAxN2EpX2gjRkZGRkZGRkYucGRmAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD/////AAAAAAAAAAAAAAAAAAEABAAACiBjdQAAAAAAAAAAAAAAAAAIY2FtcGJlbGwAAgCPLzpVc2VyczptaWNoYWVsbWF0dHk6RHJvcGJveDpjaXRhdGlvbl9saWJyYXJ5OmRvY3M6Y2FtcGJlbGw6Y2FtcGJlbGxfKDIwMTdhKV9ob21vdG9weSB0aGVvcmV0aWMgY2xhc3NpZmljYXRpb24gb2Ygc3ltbWV0cnkgcHJvdGVjdGVkIHBoYXNlcy5wZGYAAA4AqABTAGMAYQBtAHAAYgBlAGwAbABfACgAMgAwADEANwBhACkAXwBoAG8AbQBvAHQAbwBwAHkAIAB0AGgAZQBvAHIAZQB0AGkAYwAgAGMAbABhAHMAcwBpAGYAaQBjAGEAdABpAG8AbgAgAG8AZgAgAHMAeQBtAG0AZQB0AHIAeQAgAHAAcgBvAHQAZQBjAHQAZQBkACAAcABoAGEAcwBlAHMALgBwAGQAZgAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAI1Vc2Vycy9taWNoYWVsbWF0dHkvRHJvcGJveC9jaXRhdGlvbl9saWJyYXJ5L2RvY3MvY2FtcGJlbGwvY2FtcGJlbGxfKDIwMTdhKV9ob21vdG9weSB0aGVvcmV0aWMgY2xhc3NpZmljYXRpb24gb2Ygc3ltbWV0cnkgcHJvdGVjdGVkIHBoYXNlcy5wZGYAABMAAS8AABUAAgAT//8AAAAIAA0AGgAkAIgAAAAAAAACAQAAAAAAAAAFAAAAAAAAAAAAAAAAAAADLg==}}
-
-@article{beaudry:ap2018a,
- Author = {Agnes Beaudry and Jonathan A. Campbell},
- Date-Added = {2018-01-31 17:41:49 +0000},
- Date-Modified = {2018-01-31 17:54:42 +0000},
- Journal = {arXiv preprint},
- Keywords = {Math},
- Title = {A Guide for Computing Stable Homotopy Groups},
- Year = {2018},
- Bdsk-File-1 = {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}}
-
-@article{alet:ap2017a,
- Author = {Fabien Alet and Nicolas Laflorencie},
- Date-Added = {2018-01-31 17:36:54 +0000},
- Date-Modified = {2018-01-31 17:38:03 +0000},
- Journal = {arXiv preprint},
- Title = {Many-body localization: an introduction and selected topics},
- Year = {2017},
- Bdsk-File-1 = {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}}
-
-@article{geraedts:pr2017a,
- Author = {Geraedts, Scott D. and Bhatt, R. N.},
- Date-Added = {2017-12-14 17:06:16 +0000},
- Date-Modified = {2018-02-14 22:30:23 +0000},
- Doi = {10.1103/PhysRevB.95.054303},
- Issue = {5},
- Journal = {Phys. Rev. B},
- Keywords = {Many Body Localization},
- Month = {Feb},
- Numpages = {5},
- Pages = {054303},
- Publisher = {American Physical Society},
- Title = {Absence of many-body localization in a single Landau level},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.95.054303},
- Volume = {95},
- Year = {2017},
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-
-@article{de-roeck:pr2017a,
- Author = {De Roeck, Wojciech and Huveneers, Fran\ifmmode \mbox{\c{c}}\else \c{c}\fi{}ois},
- Date-Added = {2017-12-14 17:04:26 +0000},
- Date-Modified = {2018-02-14 22:30:25 +0000},
- Doi = {10.1103/PhysRevB.95.155129},
- Issue = {15},
- Journal = {Phys. Rev. B},
- Keywords = {Many Body Localization},
- Month = {Apr},
- Numpages = {14},
- Pages = {155129},
- Publisher = {American Physical Society},
- Title = {Stability and instability towards delocalization in many-body localization systems},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.95.155129},
- Volume = {95},
- Year = {2017},
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- Bdsk-Url-2 = {http://dx.doi.org/10.1103/PhysRevB.95.155129}}
-
-@article{sheng:prl2003a,
- Author = {Sheng, D. N. and Wan, Xin and Rezayi, E. H. and Yang, Kun and Bhatt, R. N. and Haldane, F. D. M.},
- Date-Added = {2017-12-13 21:06:34 +0000},
- Date-Modified = {2018-08-17 16:15:55 +0000},
- Doi = {10.1103/PhysRevLett.90.256802},
- Issue = {25},
- Journal = {Phys. Rev. Lett.},
- Keywords = {Fractional Quantum Hall, Disorder, Disordered FQH Paper},
- Month = {Jun},
- Numpages = {4},
- Pages = {256802},
- Publisher = {American Physical Society},
- Title = {Disorder-Driven Collapse of the Mobility Gap and Transition to an Insulator in the Fractional Quantum Hall Effect},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.90.256802},
- Volume = {90},
- Year = {2003},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevLett.90.256802},
- Bdsk-Url-2 = {http://dx.doi.org/10.1103/PhysRevLett.90.256802}}
-
-@article{liu:pr2017a,
- Author = {Liu, Zhao and Bhatt, R. N.},
- Date-Added = {2017-12-13 21:05:11 +0000},
- Date-Modified = {2018-08-17 16:19:30 +0000},
- Doi = {10.1103/PhysRevB.96.115111},
- Issue = {11},
- Journal = {Phys. Rev. B},
- Keywords = {Fractional Quantum Hall, Disorder, Disordered FQH Paper},
- Month = {Sep},
- Numpages = {12},
- Pages = {115111},
- Publisher = {American Physical Society},
- Title = {Evolution of quantum entanglement with disorder in fractional quantum Hall liquids},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.96.115111},
- Volume = {96},
- Year = {2017},
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-
-@article{liu:prl2016a,
- Author = {Liu, Zhao and Bhatt, R. N.},
- Date-Added = {2017-12-13 21:03:05 +0000},
- Date-Modified = {2018-08-17 16:19:48 +0000},
- Doi = {10.1103/PhysRevLett.117.206801},
- Issue = {20},
- Journal = {Phys. Rev. Lett.},
- Keywords = {Fractional Quantum Hall, Disorder, Disordered FQH Paper},
- Month = {Nov},
- Numpages = {6},
- Pages = {206801},
- Publisher = {American Physical Society},
- Title = {Quantum Entanglement as a Diagnostic of Phase Transitions in Disordered Fractional Quantum Hall Liquids},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.117.206801},
- Volume = {117},
- Year = {2016},
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-
-@article{srednicki:cup2007b,
- Author = {Mark Srednicki},
- Date-Added = {2017-12-13 20:42:10 +0000},
- Date-Modified = {2017-12-13 20:42:34 +0000},
- Journal = {Cambridge University Press},
- Keywords = {Textbook},
- Title = {Quantum Field Theory Solutions},
- Year = {2007},
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-
-@article{jain:cup2007a,
- Author = {Jain, J.K.},
- Date-Added = {2017-12-13 20:38:27 +0000},
- Date-Modified = {2017-12-13 20:39:28 +0000},
- Journal = {Cambridge University Press},
- Keywords = {Textbook},
- Title = {Composite Fermions},
- Year = {2007},
- Bdsk-File-1 = {YnBsaXN0MDDSAQIDBFxyZWxhdGl2ZVBhdGhZYWxpYXNEYXRhXxAtZG9jcy9qYWluL2phaW5fKDIwMDdhKV9jb21wb3NpdGUgZmVybWlvbnMucGRmTxEB1gAAAAAB1gACAAAMTWFjaW50b3NoIEhEAAAAAAAAAAAAAAAAAAAAAAAAAEJEAAH/////H2phaW5fKDIwMDdhKV9jb21wbyNGRkZGRkZGRi5wZGYAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP////8AAAAAAAAAAAAAAAAAAQAEAAAKIGN1AAAAAAAAAAAAAAAAAARqYWluAAIAWy86VXNlcnM6bWljaGFlbG1hdHR5OkRyb3Bib3g6Y2l0YXRpb25fbGlicmFyeTpkb2NzOmphaW46amFpbl8oMjAwN2EpX2NvbXBvc2l0ZSBmZXJtaW9ucy5wZGYAAA4ASAAjAGoAYQBpAG4AXwAoADIAMAAwADcAYQApAF8AYwBvAG0AcABvAHMAaQB0AGUAIABmAGUAcgBtAGkAbwBuAHMALgBwAGQAZgAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAFlVc2Vycy9taWNoYWVsbWF0dHkvRHJvcGJveC9jaXRhdGlvbl9saWJyYXJ5L2RvY3MvamFpbi9qYWluXygyMDA3YSlfY29tcG9zaXRlIGZlcm1pb25zLnBkZgAAEwABLwAAFQACABP//wAAAAgADQAaACQAVAAAAAAAAAIBAAAAAAAAAAUAAAAAAAAAAAAAAAAAAAIu}}
-
-@article{hansson:rmp2017a,
- Author = {Hansson, T. H. and Hermanns, M. and Simon, S. H. and Viefers, S. F.},
- Date-Added = {2017-12-13 20:36:19 +0000},
- Date-Modified = {2018-02-14 22:30:17 +0000},
- Doi = {10.1103/RevModPhys.89.025005},
- Issue = {2},
- Journal = {Rev. Mod. Phys.},
- Keywords = {Fractional Quantum Hall, Review Paper},
- Month = {May},
- Numpages = {61},
- Pages = {025005},
- Publisher = {American Physical Society},
- Title = {Quantum Hall physics: Hierarchies and conformal field theory techniques},
- Url = {https://link.aps.org/doi/10.1103/RevModPhys.89.025005},
- Volume = {89},
- Year = {2017},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/RevModPhys.89.025005},
- Bdsk-Url-2 = {http://dx.doi.org/10.1103/RevModPhys.89.025005}}
-
-@article{haldane:prl1983a,
- Author = {Haldane, F. D. M.},
- Date-Added = {2017-12-13 20:31:04 +0000},
- Date-Modified = {2018-08-17 16:28:25 +0000},
- Doi = {10.1103/PhysRevLett.51.605},
- Issue = {7},
- Journal = {Phys. Rev. Lett.},
- Keywords = {Fractional Quantum Hall, Disordered FQH Paper},
- Month = {Aug},
- Numpages = {0},
- Pages = {605--608},
- Publisher = {American Physical Society},
- Title = {Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.51.605},
- Volume = {51},
- Year = {1983},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevLett.51.605},
- Bdsk-Url-2 = {http://dx.doi.org/10.1103/PhysRevLett.51.605}}
-
-@article{papic:zn2016a,
- Author = {Zlatko Papic},
- Date-Added = {2017-12-13 20:22:45 +0000},
- Date-Modified = {2017-12-13 20:23:14 +0000},
- Journal = {Zlatko Notes},
- Keywords = {Notes},
- Title = {Fractional Quantum Hall Effect on a Sphere Notes},
- Year = {2016},
- Bdsk-File-1 = {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}}
-
-@article{agia:nn2016a,
- Author = {Nick Agia},
- Date-Added = {2017-12-13 20:21:45 +0000},
- Date-Modified = {2017-12-13 20:52:15 +0000},
- Journal = {Nick Notes},
- Keywords = {Notes},
- Title = {Two-Dimensional Fermions},
- Year = {2016},
- Bdsk-File-1 = {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}}
-
-@article{agia:nn2017a,
- Author = {Nick Agia},
- Date-Added = {2017-12-13 20:20:55 +0000},
- Date-Modified = {2017-12-13 20:21:24 +0000},
- Journal = {Nick Notes},
- Keywords = {Notes},
- Title = {Moduli Spaces},
- Year = {2017},
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-
-@article{monarkha:s2004a,
- Author = {Monarkha, Y. and Kono, K.},
- Date-Added = {2017-12-13 20:09:15 +0000},
- Date-Modified = {2017-12-13 20:10:17 +0000},
- Journal = {Springer},
- Keywords = {Textbook, Condensed Matter Physics},
- Title = {Two-Dimensional Coulomb Liquids and Solids},
- Year = {2004},
- Bdsk-File-1 = {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}}
-
-@article{srednicki:cup2007a,
- Author = {Srednicki, M.},
- Date-Added = {2017-12-13 20:07:19 +0000},
- Date-Modified = {2017-12-13 20:08:57 +0000},
- Journal = {Cambridge University Press},
- Keywords = {Textbook, Field Theory},
- Title = {Quantum Field Theory},
- Year = {2007},
- Bdsk-File-1 = {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}}
-
-@article{husemoller:s1966a,
- Author = {Husemoller, D.},
- Date-Added = {2017-12-13 20:04:41 +0000},
- Date-Modified = {2017-12-13 20:06:48 +0000},
- Journal = {Springer},
- Keywords = {Textbook, Math},
- Title = {Fibre Bundles},
- Year = {1966},
- Bdsk-File-1 = {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}}
-
-@article{awodey:oup2010a,
- Author = {Awodey, S.},
- Date-Added = {2017-12-13 20:03:27 +0000},
- Date-Modified = {2017-12-13 20:04:15 +0000},
- Journal = {Oxford University Press},
- Keywords = {Textbook, Math},
- Title = {Category Theory},
- Year = {2010},
- Bdsk-File-1 = {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}}
-
-@article{di-francesco:s1997a,
- Author = {Di Francesco, P. and Mathieu, P. and Senechal, D.},
- Date-Added = {2017-12-13 20:01:31 +0000},
- Date-Modified = {2017-12-13 20:03:08 +0000},
- Journal = {Springer},
- Keywords = {Textbook, Field Theory},
- Title = {Conformal Field Theory},
- Year = {1997},
- Bdsk-File-1 = {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}}
-
-@article{swendsen:oup2012a,
- Author = {Swendsen, R.H.},
- Date-Added = {2017-12-13 19:58:45 +0000},
- Date-Modified = {2017-12-13 20:00:03 +0000},
- Journal = {Oxford University Press},
- Keywords = {Textbook, Statistical Mechanics},
- Title = {An Introduction to Statistical Mechanics and Thermodynamics},
- Year = {2012},
- Bdsk-File-1 = {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}}
-
-@article{atland:cup2010a,
- Author = {Atland, A. and Simons, B.},
- Date-Added = {2017-12-13 19:54:59 +0000},
- Date-Modified = {2017-12-13 19:57:53 +0000},
- Journal = {Cambridge University Press},
- Keywords = {Textbook, Field Theory, Condensed Matter Physics},
- Title = {Condensed Matter Field Theory},
- Year = {2010},
- Bdsk-File-1 = {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}}
-
-@article{kashurnikov:pr1996a,
- Author = {Kashurnikov, V. A. and Prokof'ev, N. V. and Svistunov, B. V. and Tupitsyn, I. S.},
- Date-Added = {2017-12-13 17:00:50 +0000},
- Date-Modified = {2018-08-17 19:03:31 +0000},
- Doi = {10.1103/PhysRevB.54.8644},
- Issue = {12},
- Journal = {Phys. Rev. B},
- Keywords = {Pseudopotential Shift, Fractional Quantum Hall},
- Month = {Sep},
- Numpages = {0},
- Pages = {8644--8651},
- Publisher = {American Physical Society},
- Title = {Wigner crystallization in the lowest Landau level for \ensuremath{\nu}\ensuremath{\geqslant}1/5},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.54.8644},
- Volume = {54},
- Year = {1996},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.54.8644},
- Bdsk-Url-2 = {http://dx.doi.org/10.1103/PhysRevB.54.8644}}
-
-@article{rezayi:prl1988a,
- Author = {Rezayi, E. H. and Haldane, F. D. M.},
- Date-Added = {2017-12-13 16:33:27 +0000},
- Date-Modified = {2017-12-13 19:26:09 +0000},
- Doi = {10.1103/PhysRevLett.61.1985},
- Issue = {17},
- Journal = {Phys. Rev. Lett.},
- Keywords = {Pseudopotential Shift, Fractional Quantum Hall},
- Month = {Oct},
- Numpages = {0},
- Pages = {1985--1988},
- Publisher = {American Physical Society},
- Title = {Off-Diagonal Long-Range Order in Fractional Quantum-Hall-Effect States},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.61.1985},
- Volume = {61},
- Year = {1988},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevLett.61.1985},
- Bdsk-Url-2 = {http://dx.doi.org/10.1103/PhysRevLett.61.1985}}
-
-@article{wan:pr2008a,
- Author = {Wan, Xin and Hu, Zi-Xiang and Rezayi, E. H. and Yang, Kun},
- Date-Added = {2017-12-13 06:01:32 +0000},
- Date-Modified = {2017-12-13 19:26:02 +0000},
- Doi = {10.1103/PhysRevB.77.165316},
- Issue = {16},
- Journal = {Phys. Rev. B},
- Month = {Apr},
- Numpages = {15},
- Pages = {165316},
- Publisher = {American Physical Society},
- Title = {Fractional quantum Hall effect at $\ensuremath{\nu}=5∕2$: Ground states, non-Abelian quasiholes, and edge modes in a microscopic model},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.77.165316},
- Volume = {77},
- Year = {2008},
- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.77.165316},
- Bdsk-Url-2 = {http://dx.doi.org/10.1103/PhysRevB.77.165316}}
-
-@article{storni:prl2010a,
- Author = {Storni, M. and Morf, R. H. and Das Sarma, S.},
- Date-Added = {2017-12-13 05:55:10 +0000},
- Date-Modified = {2017-12-13 19:25:38 +0000},
- Doi = {10.1103/PhysRevLett.104.076803},
- Issue = {7},
- Journal = {Phys. Rev. Lett.},
- Keywords = {Pseudopotential Shift, Fractional Quantum Hall},
- Month = {Feb},
- Numpages = {4},
- Pages = {076803},
- Publisher = {American Physical Society},
- Title = {Fractional Quantum Hall State at $\ensuremath{\nu}=\frac{5}{2}$ and the Moore-Read Pfaffian},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.104.076803},
- Volume = {104},
- Year = {2010},
- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevLett.104.076803},
- Bdsk-Url-2 = {http://dx.doi.org/10.1103/PhysRevLett.104.076803}}
-
-@article{papiifmmode-celse-cfi:prl2012a,
- Author = {Papi\ifmmode \acute{c}\else \'{c}\fi{}, Z. and Haldane, F. D. M. and Rezayi, E. H.},
- Date-Added = {2017-12-13 05:36:13 +0000},
- Date-Modified = {2017-12-13 19:26:12 +0000},
- Doi = {10.1103/PhysRevLett.109.266806},
- Issue = {26},
- Journal = {Phys. Rev. Lett.},
- Keywords = {Pseudopotential Shift, Fractional Quantum Hall},
- Month = {Dec},
- Numpages = {5},
- Pages = {266806},
- Publisher = {American Physical Society},
- Title = {Quantum Phase Transitions and the $\ensuremath{\nu}\mathbf{=}5/2$ Fractional Hall State in Wide Quantum Wells},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.109.266806},
- Volume = {109},
- Year = {2012},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevLett.109.266806},
- Bdsk-Url-2 = {http://dx.doi.org/10.1103/PhysRevLett.109.266806}}
-
-@article{rezayi:prl2000a,
- Author = {Rezayi, E. H. and Haldane, F. D. M.},
- Date-Added = {2017-12-12 23:27:45 +0000},
- Date-Modified = {2017-12-13 19:26:06 +0000},
- Doi = {10.1103/PhysRevLett.84.4685},
- Issue = {20},
- Journal = {Phys. Rev. Lett.},
- Keywords = {Pseudopotential Shift, Fractional Quantum Hall},
- Month = {May},
- Numpages = {0},
- Pages = {4685--4688},
- Publisher = {American Physical Society},
- Title = {Incompressible Paired Hall State, Stripe Order, and the Composite Fermion Liquid Phase in Half-Filled Landau Levels},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.84.4685},
- Volume = {84},
- Year = {2000},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevLett.84.4685},
- Bdsk-Url-2 = {http://dx.doi.org/10.1103/PhysRevLett.84.4685}}
-
-@article{morf:prl1998a,
- Author = {Morf, R. H.},
- Date-Added = {2017-12-12 23:25:48 +0000},
- Date-Modified = {2017-12-13 19:26:15 +0000},
- Doi = {10.1103/PhysRevLett.80.1505},
- Issue = {7},
- Journal = {Phys. Rev. Lett.},
- Keywords = {Pseudopotential Shift, Fractional Quantum Hall},
- Month = {Feb},
- Numpages = {0},
- Pages = {1505--1508},
- Publisher = {American Physical Society},
- Title = {Transition from Quantum Hall to Compressible States in the Second Landau Level: New Light on the $\ensuremath{\nu}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}5/2$ Enigma},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.80.1505},
- Volume = {80},
- Year = {1998},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevLett.80.1505},
- Bdsk-Url-2 = {http://dx.doi.org/10.1103/PhysRevLett.80.1505}}
-
-@article{papiifmmode-celse-cfi:prl2011a,
- Author = {Papic, Z. and Thomale, R. and Abanin, D. A.},
- Date-Added = {2017-12-12 22:54:48 +0000},
- Date-Modified = {2017-12-13 19:40:52 +0000},
- Doi = {10.1103/PhysRevLett.107.176602},
- Issue = {17},
- Journal = {Phys. Rev. Lett.},
- Keywords = {Pseudopotential Shift, Fractional Quantum Hall},
- Month = {Oct},
- Numpages = {5},
- Pages = {176602},
- Publisher = {American Physical Society},
- Title = {Tunable Electron Interactions and Fractional Quantum Hall States in Graphene},
- Url = {https://link.aps.org/doi/10.1103/PhysRevLett.107.176602},
- Volume = {107},
- Year = {2011},
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- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevLett.107.176602},
- Bdsk-Url-2 = {http://dx.doi.org/10.1103/PhysRevLett.107.176602}}
-
-@article{zozulya:pr2009a,
- Author = {Zozulya, O. S. and Haque, Masudul and Regnault, Nicolas},
- Date-Added = {2017-12-12 22:54:42 +0000},
- Date-Modified = {2017-12-13 19:54:26 +0000},
- Doi = {10.1103/PhysRevB.79.045409},
- Issue = {4},
- Journal = {Phys. Rev. B},
- Keywords = {Pseudopotential Shift, Entanglement Entropy, Entanglement Spectrum, Fractional Quantum Hall},
- Month = {Jan},
- Numpages = {8},
- Pages = {045409},
- Publisher = {American Physical Society},
- Title = {Entanglement signatures of quantum Hall phase transitions},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.79.045409},
- Volume = {79},
- Year = {2009},
- Bdsk-File-1 = {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},
- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.79.045409},
- Bdsk-Url-2 = {http://dx.doi.org/10.1103/PhysRevB.79.045409}}
-
-@article{platzman:pr1985a,
- Author = {Platzman, P. M. and Girvin, S. M. and MacDonald, A. H.},
- Date-Added = {2017-12-12 22:54:36 +0000},
- Date-Modified = {2018-08-17 18:15:15 +0000},
- Doi = {10.1103/PhysRevB.32.8458},
- Issue = {12},
- Journal = {Phys. Rev. B},
- Keywords = {Fractional Quantum Hall},
- Month = {Dec},
- Numpages = {0},
- Pages = {8458--8461},
- Publisher = {American Physical Society},
- Title = {Conductivity in the fractionally quantized Hall effect},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.32.8458},
- Volume = {32},
- Year = {1985},
- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.32.8458},
- Bdsk-Url-2 = {http://dx.doi.org/10.1103/PhysRevB.32.8458}}
-
-@article{mellor:jpcm1999a,
- Abstract = {The results of ballistic phonon and microwave absorption experiments are presented in the fractional quantum Hall regime of two-dimensional electron and hole systems respectively. Time-resolved ballistic phonon results suggest that acoustic phonons can be absorbed by the magnetoroton excitations of a fractional quantum Hall fluid. The technique allows the determination of the magnetoroton gap and holds out the promise of being able to measure the magnetoroton dispersion curve in angle-resolved experiments. At lower Landau level filling factors, high-mobility two-dimensional systems become insulating. Microwave absorption experiments at finite wavevector find a series of sharp absorption lines in the insulating phase that become more pronounced as the temperature is lowered and the magnetic field increased. The results strongly suggest that the two-dimensional system forms a pinned Wigner solid at these low filling factors. Further analysis allows the determination of the pinning frequency and its variation as a function of magnetic field.},
- Author = {C J Mellor},
- Date-Added = {2017-12-12 22:54:22 +0000},
- Date-Modified = {2017-12-13 19:26:01 +0000},
- Journal = {Journal of Physics: Condensed Matter},
- Number = {40},
- Pages = {7723},
- Title = {Finite-wavevector studies of two-dimensional systems},
- Url = {http://stacks.iop.org/0953-8984/11/i=40/a=305},
- Volume = {11},
- Year = {1999},
- Bdsk-Url-1 = {http://stacks.iop.org/0953-8984/11/i=40/a=305}}
-
-@article{kukushkin:s2009a,
- Abstract = {The rich correlation physics in two-dimensional (2D) electron systems is governed by the dispersion of its excitations. In the fractional quantum Hall regime, excitations involve fractionally charged quasi particles, which exhibit dispersion minima at large momenta referred to as rotons. These rotons are difficult to access with conventional techniques because of the lack of penetration depth or sample volume. Our method overcomes the limitations of conventional methods and traces the dispersion of excitations across momentum space for buried systems involving small material volume. We used surface acoustic waves, launched across the 2D system, to allow incident radiation to trigger these excitations at large momenta. Optics probed their resonant absorption. Our technique unveils the full dispersion of such excitations of several prominent correlated ground states of the 2D electron system, which has so far been inaccessible for experimentation.},
- Author = {Kukushkin, Igor V. and Smet, Jurgen H. and Scarola, Vito W. and Umansky, Vladimir and von Klitzing, Klaus},
- Date-Added = {2017-12-12 22:53:54 +0000},
- Date-Modified = {2017-12-13 19:25:53 +0000},
- Doi = {10.1126/science.1171472},
- Eprint = {http://science.sciencemag.org/content/324/5930/1044.full.pdf},
- Issn = {0036-8075},
- Journal = {Science},
- Number = {5930},
- Pages = {1044--1047},
- Publisher = {American Association for the Advancement of Science},
- Title = {Dispersion of the Excitations of Fractional Quantum Hall States},
- Url = {http://science.sciencemag.org/content/324/5930/1044},
- Volume = {324},
- Year = {2009},
- Bdsk-Url-1 = {http://science.sciencemag.org/content/324/5930/1044},
- Bdsk-Url-2 = {http://dx.doi.org/10.1126/science.1171472}}
-
-@article{girvin:jmmm1986a,
- Author = {S.M. Girvin and A.H. MacDonald and P.M. Platzman},
- Date-Added = {2017-12-12 22:53:44 +0000},
- Date-Modified = {2017-12-13 19:26:04 +0000},
- Doi = {https://doi.org/10.1016/0304-8853(86)90879-6},
- Issn = {0304-8853},
- Journal = {Journal of Magnetism and Magnetic Materials},
- Number = {Part 3},
- Pages = {1428 - 1432},
- Title = {Fractional quantum hall effect: Superfluidity, magneto-rotons and fractionally charged vortices},
- Url = {http://www.sciencedirect.com/science/article/pii/0304885386908796},
- Volume = {54-57},
- Year = {1986},
- Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/0304885386908796},
- Bdsk-Url-2 = {https://doi.org/10.1016/0304-8853(86)90879-6}}
-
-@article{johri:pr2014a,
- Author = {Johri, Sonika and Papi\ifmmode \acute{c}\else \'{c}\fi{}, Z. and Bhatt, R. N. and Schmitteckert, P.},
- Date-Added = {2017-12-12 22:53:29 +0000},
- Date-Modified = {2017-12-13 19:26:13 +0000},
- Doi = {10.1103/PhysRevB.89.115124},
- Issue = {11},
- Journal = {Phys. Rev. B},
- Month = {Mar},
- Numpages = {8},
- Pages = {115124},
- Publisher = {American Physical Society},
- Title = {Quasiholes of $\frac{1}{3}$ and $\frac{7}{3}$ quantum Hall states: Size estimates via exact diagonalization and density-matrix renormalization group},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.89.115124},
- Volume = {89},
- Year = {2014},
- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.89.115124},
- Bdsk-Url-2 = {http://dx.doi.org/10.1103/PhysRevB.89.115124}}
-
-@article{boebinger:pr1987a,
- Author = {Boebinger, G. S. and Stormer, H. L. and Tsui, D. C. and Chang, A. M. and Hwang, J. C. M. and Cho, A. Y. and Tu, C. W. and Weimann, G.},
- Date-Added = {2017-12-12 22:53:01 +0000},
- Date-Modified = {2018-01-31 17:54:51 +0000},
- Doi = {10.1103/PhysRevB.36.7919},
- Issue = {15},
- Journal = {Phys. Rev. B},
- Keywords = {Many Body Localization},
- Month = {Nov},
- Numpages = {0},
- Pages = {7919--7929},
- Publisher = {American Physical Society},
- Title = {Activation energies and localization in the fractional quantum Hall effect},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.36.7919},
- Volume = {36},
- Year = {1987},
- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.36.7919},
- Bdsk-Url-2 = {http://dx.doi.org/10.1103/PhysRevB.36.7919}}
-
-@article{gold:pr1987a,
- Author = {Gold, A.},
- Date-Added = {2017-12-12 22:52:51 +0000},
- Date-Modified = {2017-12-13 19:25:59 +0000},
- Doi = {10.1103/PhysRevB.36.3268},
- Issue = {6},
- Journal = {Phys. Rev. B},
- Month = {Aug},
- Numpages = {0},
- Pages = {3268--3279},
- Publisher = {American Physical Society},
- Title = {Excitation gap in the fractionally quantized Hall effect},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.36.3268},
- Volume = {36},
- Year = {1987},
- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.36.3268},
- Bdsk-Url-2 = {http://dx.doi.org/10.1103/PhysRevB.36.3268}}
-
-@article{claro:pr1987a,
- Author = {Claro, F.},
- Date-Added = {2017-12-12 22:52:37 +0000},
- Date-Modified = {2017-12-13 19:25:49 +0000},
- Doi = {10.1103/PhysRevB.35.7980},
- Issue = {15},
- Journal = {Phys. Rev. B},
- Month = {May},
- Numpages = {0},
- Pages = {7980--7985},
- Publisher = {American Physical Society},
- Title = {Charge-density-wave states in the fractional quantum Hall regime},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.35.7980},
- Volume = {35},
- Year = {1987},
- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.35.7980},
- Bdsk-Url-2 = {http://dx.doi.org/10.1103/PhysRevB.35.7980}}
-
-@article{rezayi:pr1985a,
- Author = {Rezayi, E. H. and Haldane, F. D. M.},
- Date-Added = {2017-12-12 22:51:55 +0000},
- Date-Modified = {2017-12-13 19:26:08 +0000},
- Doi = {10.1103/PhysRevB.32.6924},
- Issue = {10},
- Journal = {Phys. Rev. B},
- Month = {Nov},
- Numpages = {0},
- Pages = {6924--6927},
- Publisher = {American Physical Society},
- Title = {Incompressible states of the fractionally quantized Hall effect in the presence of impurities: A finite-size study},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.32.6924},
- Volume = {32},
- Year = {1985},
- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.32.6924},
- Bdsk-Url-2 = {http://dx.doi.org/10.1103/PhysRevB.32.6924}}
-
-@article{zhang:pr1985a,
- Author = {Zhang, F. C. and Vulovic, V. Z. and Guo, Y. and Das Sarma, S.},
- Date-Added = {2017-12-12 22:50:51 +0000},
- Date-Modified = {2017-12-13 19:25:55 +0000},
- Doi = {10.1103/PhysRevB.32.6920},
- Issue = {10},
- Journal = {Phys. Rev. B},
- Month = {Nov},
- Numpages = {0},
- Pages = {6920--6923},
- Publisher = {American Physical Society},
- Title = {Effect of a charged impurity on the fractional quantum Hall effect: Exact numerical treatment of finite systems},
- Url = {https://link.aps.org/doi/10.1103/PhysRevB.32.6920},
- Volume = {32},
- Year = {1985},
- Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.32.6920},
- Bdsk-Url-2 = {http://dx.doi.org/10.1103/PhysRevB.32.6920}}
-
-@article{ghiringhelli2012long,
- title={Long-range incommensurate charge fluctuations in (Y, Nd) Ba2Cu3O6+ x},
- author={Ghiringhelli, G and Le Tacon, M and Minola, Matteo and Blanco-Canosa, S and Mazzoli, Claudio and Brookes, NB and De Luca, GM and Frano, A and Hawthorn, DG and He, F and others},
- journal={Science},
- volume={337},
- number={6096},
- pages={821--825},
- year={2012},
- publisher={American Association for the Advancement of Science}
-}
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