little final changes

2 files changed, 40 insertions, 30 deletions

diff --git a/hidden_order.bib b/hidden_order.bib
index 28659c9..cc404a0 100644
--- a/hidden_order.bib
+++ b/hidden_order.bib
@@ -754,4 +754,20 @@ Raman spectroscopy is used to uncover an unusual ordering in the low-temperature
   file = {/home/pants/.zotero/data/storage/99CG76ZA/Kuwahara et al. - 1997 - Lattice Instability and Elastic Response in the He.pdf}
 }
 
+@article{yanagisawa_ultrasonic_2014,
+  title = {Ultrasonic Study of the Hidden Order and Heavy-Fermion State in {{URu2Si2}} with Hydrostatic Pressure, {{Rh}}-Doping, and High Magnetic Fields},
+  volume = {94},
+  issn = {1478-6435},
+  abstract = {This paper reports recent progress of ultrasonic measurements on URuSi, including ultrasonic measurements under hydrostatic pressure, in pulsed magnetic fields, and the effect of Rh-substitution. The observed changes of the elastic responses shed light on the orthorhombic-lattice instability with -symmetry existing within the hidden order and the hybridized 5-electron states of URuSi.},
+  number = {32-33},
+  journal = {Philosophical Magazine},
+  doi = {10.1080/14786435.2013.878054},
+  author = {Yanagisawa, Tatsuya},
+  month = nov,
+  year = {2014},
+  keywords = {band Jahn–Teller effect,elastic constant,hidden order,hybridization,hydrostatic pressure,lattice instability,pulsed magnetic field,ultrasound,URu2Si2},
+  pages = {3775-3788},
+  file = {/home/pants/.zotero/data/storage/UJTH89KV/Yanagisawa - 2014 - Ultrasonic study of the hidden order and heavy-fer.pdf}
+}
+
 
diff --git a/main.tex b/main.tex
index 4c35f1b..6a7ea85 100644
--- a/main.tex
+++ b/main.tex
@@ -546,24 +546,18 @@ This motivates future ultrasound experiments done under
 pressure, where the depth of the cusp in the $\Bog$ modulus should deepen
 (perhaps with these commensurability jumps) at low pressure and approach zero
 as $q_*^4\sim(c_\perp/2D_\perp)^2$ near the Lifshitz point. 
-%\brad{Should also
-%motivate x-ray and neutron-diffraction experiments to look for new q's -
-%mentioning this is important if we want to get others interested, no one else
-%does RUS...} 
-Moreover, experiments that can probe the entire correlation function such as 
-x-ray and neutron scattering should be able to track the development of new
-$q$'s along the modulated to uniform order transiiton.
-Alternatively, \rus\ done at ambient pressure might examine the
-heavy fermi liquid to \afm\ transition by doping. Previous studies 
-{\color{blue} [cite]} considered Rhodium doping, however, due to the magnetic
-nature of Rhodium ions, we would suggest a dopant that would only exert chemical
-pressure such as phospherous. This way we could more accurately explore the pressure
-axis of the phase diagram without aritificially promoting magnetic phases.
-%\brad{We have to be careful,
-%someone did do some doping studies and it's not clear exactly what's going on}.
-The presence of spatial commensurability is known to be irrelevant to critical
-behavior at a one-component disordered to modulated transition, and therefore
-is not expected to modify the thermodynamic behavior otherwise.\cite{garel_commensurability_1976} 
+Alternatively, \rus\ done at ambient pressure might examine the heavy fermi
+liquid to \afm\ transition by doping. Though previous \rus\ studies have doped
+\urusi\ with Rhodium,\cite{yanagisawa_ultrasonic_2014} the magnetic nature of
+Rhodium ions likely artificially promotes magnetic phases. A dopant like
+phosphorous that only exerts chemical pressure might more faithfully explore
+the pressure axis of the phase diagram. Our work also motivates experiments
+that can probe the entire correlation function---like x-ray and neutron
+scattering---and directly resolve its finite-$q$ divergence.  The presence of
+spatial commensurability is known to be irrelevant to critical behavior at a
+one-component disordered to modulated transition, and therefore is not
+expected to modify the thermodynamic behavior
+otherwise.\cite{garel_commensurability_1976} 
 
 There are two apparent discrepancies between the orthorhombic strain in the
 phase diagram presented by recent x-ray data\cite{choi_pressure-induced_2018}
@@ -610,17 +604,14 @@ $\Bog$ \op\ is consistent with zero-pressure \rus\ data, with a cusp appearing
 in the associated elastic modulus. In this picture, the \ho\ phase is
 characterized by uniaxial modulated $\Bog$ order, while the high pressure phase
 is characterized by uniform $\Bog$ order. 
-%\brad{We need to be a bit more
-%explicit about what we think is going on with \afm - is it just a parasitic
-%phase? Is our modulated phase somehow "moduluated \afm" (can you modualte AFM
-%in such as way as to make it disappear? Some combination of orbitals?)} 
-This is compelling, but our mean field theory does not make any explicit 
-connection between the high-pressure orthorhombic phase and AFM.
-This is not unreasoable as correlations commonly realize AFM as
-a secondary effect such as in many Mott insulators. A 
-more careful electronic theory may find that
-the AFM observed in \urusi\ is indeed reproduced in the high-pressure
-orthorhombic phase associated with uniform $\Bog$ order. 
+
+The coinciding of our theory's orthorhombic high-pressure phase and \urusi's
+\afm\ is compelling, but our mean field theory does not make any explicit
+connection with the physics of \afm.  This may be reasonable since correlations
+often lead to \afm\ as a secondary effect, like in many Mott insulators. An
+electronic theory of this phase diagram may find that the \afm\ observed in
+\urusi\ indeed follows along with a high-pressure orthorhombic phase associated with
+uniform $\Bog$ electronic order. 
 
 The corresponding prediction of uniform $\Bog$ symmetry breaking in the high
 pressure phase is consistent with recent diffraction experiments,
@@ -633,7 +624,10 @@ or falsify this idea.
 
 \begin{acknowledgements}
   Jaron Kent-Dobias is supported by NSF DMR-1719490, Michael Matty is supported by
-  NSF DMR-1719875, and Brad Ramshaw is supported by NSF DMR-1752784. We are grateful for helpful discussions with Sri Raghu, \brad{People we talked to in Jim's group meeting}.
+  NSF DMR-1719875, and Brad Ramshaw is supported by NSF DMR-1752784. We are
+  grateful for helpful discussions with Sri Raghu, Danilo Liarte, and Jim
+  Sethna, and for permission to reproduce experimental data in our figure by
+  Elena Hassinger. We thank Sayak Ghosh for \rus\ data.
 \end{acknowledgements}
 
 \bibliographystyle{apsrev4-1}