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@@ -513,7 +513,9 @@ uniform $\Bog$ strain of magnitude $\langle\epsilon_\Bog\rangle^2=b^2\tilde r/4u(C^0_\Bog)^2$, which corresponds to an orthorhombic structural phase. Orthorhombic symmetry breaking was recently detected in the \afm\ phase of \urusi\ using x-ray diffraction, a further consistency of this theory with the -phenomenology of \urusi\ \cite{choi_pressure-induced_2018}. Second, as the +phenomenology of \urusi\ \cite{choi_pressure-induced_2018}. + +{\color{blue} New paragraph inserted by Mike} Second, as the Lifshitz point is approached from low pressure, this theory predicts that the modulation wavevector $q_*$ should vanish continuously. Far from the Lifshitz point we expect the wavevector to lock into values commensurate with the space @@ -524,10 +526,17 @@ $q_*=\pi/a_3\simeq0.328\,\A^{-1}$ \cite{meng_imaging_2013, broholm_magnetic_1991, wiebe_gapped_2007, bourdarot_precise_2010}. In between these two regimes, the ordering wavevector should shrink by jumping between ever-closer commensurate values in the style of the devil's staircase -\cite{bak_commensurate_1982}. This motivates future \rus\ experiments done at +\cite{bak_commensurate_1982}. + +{\color{blue} New paragraph inserted by Mike} +This motivates future \rus\ experiments done at pressure, where the depth of the cusp in the $\Bog$ modulus should deepen (perhaps with these commensurability jumps) at low pressure and approach zero -like $q_*^4\sim(c_\perp/2D_\perp)^2$ near the Lifshitz point. \brad{Should also +like $q_*^4\sim(c_\perp/2D_\perp)^2$ near the Lifshitz point. +{\color{blue} + Moreover, +} +\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...} Alternatively, \rus\ done at ambient pressure might examine the @@ -587,11 +596,15 @@ our modulated phase somehow "moduluated \afm" (can you modualte AFM in such as way as to make it disappear? Some combination of orbitals?)} The corresponding prediction of uniform $\Bog$ symmetry breaking in the \afm\ phase is consistent with recent diffraction experiments \cite{choi_pressure-induced_2018} -up to -\brad{needs a caveat about temperature, so that we're being transparent}. This -work motivates both further theoretical work regarding a microscopic theory +{\color{blue} + except for the apparent earlier onset in temperature of the $\Bog$ symmetry + breaking than AFM, which we believe to be due to fluctuating order above + the actual phase transition. +} +%\brad{needs a caveat about temperature, so that we're being transparent}. +This work motivates both further theoretical work regarding a microscopic theory with modulated $\Bog$ order, and preforming \rus\ experiments at pressure that -could further support or falsify this idea. +could further support or falsify this idea. \begin{acknowledgements} This research was supported by NSF DMR-1719490 and DMR-1719875. |