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@article{el-showk_solving_2014,
title = {Solving the 3d {{Ising Model}} with the {{Conformal Bootstrap II}}. {$\mathsl{c}$}-{{Minimization}} and {{Preise Critial Exponents}}},
volume = {157},
issn = {0022-4715, 1572-9613},
abstract = {We use the conformal bootstrap to perform a precision study of the operator spectrum of the critical 3d Ising model. We conjecture that the 3d Ising spectrum minimizes the central charge \textbackslash{}(c\textbackslash{}) in the space of unitary solutions to crossing symmetry. Because extremal solutions to crossing symmetry are uniquely determined, we are able to precisely reconstruct the first several \textbackslash{}(\textbackslash{}mathbb \{Z\}\_2\textbackslash{})-even operator dimensions and their OPE coefficients. We observe that a sharp transition in the operator spectrum occurs at the 3d Ising dimension \textbackslash{}(\textbackslash{}Delta \_\textbackslash{}sigma = 0.518154(15)\textbackslash{}), and find strong numerical evidence that operators decouple from the spectrum as one approaches the 3d Ising point. We compare this behavior to the analogous situation in 2d, where the disappearance of operators can be understood in terms of degenerate Virasoro representations.},
language = {en},
number = {4-5},
journal = {Journal of Statistical Physics},
doi = {10.1007/s10955-014-1042-7},
author = {{El-Showk}, Sheer and Paulos, Miguel F. and Poland, David and Rychkov, Slava and {Simmons-Duffin}, David and Vichi, Alessandro},
month = dec,
year = {2014},
keywords = {_tablet},
pages = {869-914},
file = {/home/pants/.zotero/data/storage/XB5EWQ28/El-Showk et al. - 2014 - Solving the 3d Ising Model with the Conformal Boot.pdf}
}
@book{landau_theory_1995,
series = {Landau and {{Lifshitz Course}} of {{Theoretical Physics}}},
title = {Theory of {{Elasticity}}},
author = {Landau, Lev Davidovich and Lifshitz, Eugin M and Berestetskii, VB and Pitaevskii, LP},
year = {1995},
keywords = {_tablet},
file = {/home/pants/.zotero/data/storage/AQ7G8AHB/Landau et al. - 1995 - Theory of Elasticity.pdf}
}
@article{fisher_specific_1990,
title = {Specific Heat of {{URu}}{$_{2}$}{{Si}}{$_{2}$}: {{Effect}} of Pressure and Magnetic Field on the Magnetic and Superconducting Transitions},
volume = {163},
issn = {0921-4526},
shorttitle = {Specific Heat of {{URu2Si2}}},
abstract = {Specific heats were measured in the range 0.3 {$\leqslant$}T{$\leqslant$}30 K for 0{$\leqslant$}H{$\leqslant$}7T and P=0, and for H=0 and 0{$\leqslant$}P{$\leqslant$}6.3 kbar. For H=0 and P=0, the measurements were extended to 0.15K. Above the superconducting transition the H=0 and 7T data can be superimposed. For the magnetic transition near T0 = 18K, T0 increased with increasing P accompanied by a broadening and attenuation of the specific heat anomally. The superconducting transition near Tc = 1.5 K was broadened, attenuated and shifted to lower temperatures for both increasing P and H. The superconducting transition is similar to that of UPt3, and both the temperature dependence of the superconducting state specific heat and the derived parameters are consistent with an unconventional polar-type pairing.},
number = {1},
journal = {Physica B: Condensed Matter},
doi = {10/ck6dj9},
author = {Fisher, R. A. and Kim, S. and Wu, Y. and Phillips, N. E. and McElfresh, M. W. and Torikachvili, M. S. and Maple, M. B.},
month = apr,
year = {1990},
pages = {419-423},
file = {/home/pants/.zotero/data/storage/HHVDKMSP/Fisher et al. - 1990 - Specific heat of URu2Si2 Effect of pressure and m.pdf}
}
@article{hornreich_lifshitz_1980,
title = {The {{Lifshitz}} Point: {{Phase}} Diagrams and Critical Behavior},
volume = {15-18},
issn = {0304-8853},
shorttitle = {The {{Lifshitz}} Point},
abstract = {The Lifshitz multicritical point (LP) divides the phase diagram of a magnetic system into paramagnetic, uniform (ferro- or antiferromagnetic) and modulated (spiral or helicoidal) phases, which coexist at the LP. It can occur in a variety of different systems, including magnetic compounds and alloys, liquid crystals, charge-transfer salts, and structurally incommensurate materials. Theoretical studies, including renormalization group, exact spherical model and high temperature series expansion calculations, are reviewed with emphasis on possible experimental (including Monte Carlo) verifications of the theoretical predictions in three and two dimensional systems. Some promising materials for further research are indicated.},
journal = {Journal of Magnetism and Magnetic Materials},
doi = {10/ccgt88},
author = {Hornreich, R. M.},
month = jan,
year = {1980},
pages = {387-392},
file = {/home/pants/.zotero/data/storage/FQWHY9TF/Hornreich - 1980 - The Lifshitz point Phase diagrams and critical be.pdf}
}
@article{lifshitz_theory_1942-1,
title = {On the Theory of Phase Transitions of the Second Order {{II}}. {{Phase}} Transitions of the Second Order in Alloys},
volume = {6},
journal = {Proceedings of the USSR Academy of Sciences Journal of Physics},
author = {Lifshitz, EM},
year = {1942},
keywords = {⛔ No DOI found},
pages = {251},
file = {/home/pants/.zotero/data/storage/TAA9G46H/Lifshitz - 1942 - On the theory of phase transitions of the second o.pdf}
}
@article{lifshitz_theory_1942,
title = {On the Theory of Phase Transitions of the Second Order {{I}}. {{Changes}} of the Elementary Cell of a Crystal in Phase Transitions of the Second Order},
volume = {6},
journal = {Proceedings of the USSR Academy of Sciences Journal of Physics},
author = {Lifshitz, EM},
year = {1942},
keywords = {⛔ No DOI found},
pages = {61},
file = {/home/pants/.zotero/data/storage/D9BYG3FK/Lifshitz - 1942 - On the theory of phase transitions of the second o.pdf}
}
@article{ginzburg_remarks_1961,
title = {Some {{Remarks}} on {{Phase Transitions}} of the {{Second Kind}} and the {{Microscopic}} Theory of {{Ferroelectric Materials}}},
volume = {2},
number = {9},
journal = {Soviet Physics, Solid State},
author = {Ginzburg, V. L.},
year = {1961},
keywords = {⛔ No DOI found},
pages = {1824-1834}
}
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