Update on Overleaf.

3 files changed, 48 insertions, 7 deletions

diff --git a/library.bib b/library.bib
index dcc98ec..c944258 100644
--- a/library.bib
+++ b/library.bib
@@ -2,13 +2,42 @@
 %% http://bibdesk.sourceforge.net/
 
 
-%% Created for Michael Matty at 2019-06-19 12:30:22 -0400 
+%% 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 = {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}}
+
 @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},
diff --git a/main.tex b/main.tex
index de38d17..aac94e5 100644
--- a/main.tex
+++ b/main.tex
@@ -94,28 +94,39 @@ transition, the physics of the OP can often be described in the context of Landa
 mean field theory. However, to construct such a theory, one must know the symmetries
 of the order parameter, i.e. the symmetry of the ordered state.
 
-One quintessential case where the symmetry of an ordered phase remains unknown is in \urusi.
+A paradigmatic example where the symmetry of an ordered phase remains unknown is in \urusi.
 \urusi is a heavy fermion superconductor in which superconductivity condenses out of a 
 symmetry broken state referred to as hidden order (HO) [cite pd paper], and at sufficiently
 large [hydrostatic?] pressures, both give way to local moment antiferromagnetism. 
-Despite over thirty years of effort, the symmetry of the hidden order state remains unknown, and
-modern theories [big citation chunk] propose a variety of possibilities. 
+Despite over thirty years of effort, the symmetry of the hidden order state remains unknown, and modern theories
+\cite{kambe:pr2018a, haule:np2009a, kusunose:jpsj2011a, kung:s2015a,cricchio:prl2009a,ohkawa:jpcm1999a,santini:prl1994a,kiss:ap2004a,harima:jpsj2010a,thalmeier:pr2011a,tonegawa:prl2012a,rau:pr2012a,riggs:nc2015a,hoshino:jpsj2013a,ikeda:prl1998a,chandra:n2013a,harrison:apa2019a,ikeda:np2012a}
+propose a variety of possibilities. 
 Many [all?] of these theories rely on the formulation of a microscopic model for the 
 HO state, but without direct experimental observation of the broken symmetry, none 
 have been confirmed. 
 
-One case that does not rely on a microscopic model is recent work [cite RUS paper] 
+One case that does not rely on a microscopic model is recent work \cite{ghosh:apa2019a} 
 that studies the HO transition using resonant ultrasound spectroscopy (RUS). 
 RUS is an experimental technique that measures mechanical resonances of a sample. These
 resonances contain information about the full elastic tensor of the material. Moreover, 
 the frequency locations of the resonances are sensitive to symmetry breaking at an electronic
-phase transition due to electron-phonon coupling [cite]. Ref. [RUS paper] uses this information
+phase transition due to electron-phonon coupling [cite]. Ref.~\cite{ghosh:apa2019a} uses this information
 to place strict thermodynamic bounds on the symmetry of the HO OP, again, independent of 
 any microscopic model. Motivated by these results, in this paper we consider a mean field theory
 of an OP coupled to strain and the effect that the OP symmetry has on the elastic response
 in different symmetry channels. Our study finds that a single possible OP symmetry
 reproduces the experimental strain susceptibilities, and fits the experimental data well.
 
+We first present a phenomenological Landau-Ginzburg mean field theory of strain coupled to an
+order parameter. We examine the phase diagram predicted by this theory and compare it
+to the experimentally obtained phase diagram of \urusi. 
+Then we compute the elastic response to strain, and examine the response function dependence on
+the symmetry of the OP.
+We proceed to compare the results from mean field theory with data from RUS experiments.
+We further examine the consequences of our theory at non-zero applied pressure in comparison
+with recent x-ray scattering experiments [cite].
+Finally, we discuss our conclusions and future experimental and theoretical work that our results motivate.
+
 The point group of \urusi is \Dfh, and any coarse-grained theory must locally
 respect this symmetry. We will introduce a phenomenological free energy density
 in three parts: that of the strain, the order parameter, and their interaction.
@@ -414,6 +425,7 @@ self-consistent.
 
 \end{acknowledgements}
 
-\bibliography{hidden_order}
+\bibliographystyle{apsrev4-1}
+\bibliography{hidden_order,library}
 
 \end{document}
diff --git a/phase_diagram.png b/phase_diagram.png
new file mode 100644
index 0000000..aa07be6
--- /dev/null
+++ b/phase_diagram.png