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| -rw-r--r-- | main.tex | 43 |
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@@ -546,17 +546,21 @@ 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. -{\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 +%\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 -\brad{We have to be careful, -someone did do some doping studies and it's not clear exactly what's going on}. +{\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} @@ -605,11 +609,20 @@ the phase diagram of \urusi\ are $\Bog$ and $\Btg$. Of these, only a staggered $\Bog$ \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?)} The -corresponding prediction of uniform $\Bog$ symmetry breaking in the high +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 corresponding prediction of uniform $\Bog$ symmetry breaking in the high pressure phase is consistent with recent diffraction experiments, \cite{choi_pressure-induced_2018} except for the apparent earlier onset in temperature of the $\Bog$ symmetry breaking, which we believe to be due to |