Table 1 Comparison between strain and ultrasound
From: Direct evidence for the absence of coupling between shear strain and superconductivity in Sr2RuO4
1st order (jump at Tc) | 2nd order (slope change at Tc) | ||||||||
|---|---|---|---|---|---|---|---|---|---|
Strain | Irrep | Mod. | Strain | Ultrasound | Ehrenfest relation | Strain | Ultrasound | Ehrenfest relation | |
(mK%−1) | (mK%−1) | (mK%−2) | (mK%−2) | ||||||
Shear | εxy | B2g | c66 | < 6 | \(\left| \frac{\partial {T}_{c}}{\partial {\varepsilon }_{xy}}\right| \sim \sqrt{-2\frac{{T}_{c}\Delta {c}_{66}}{\Delta C}}\) | < 60 | 28021 | \(\frac{{\partial }^{2}{T}_{c}}{\partial {\varepsilon }_{xy}^{2}}=-\frac{{T}_{c}}{\Delta C}\Delta \frac{\partial {c}_{66}}{\partial T}\) | |
\({\varepsilon }_{{x}^{{\prime} }{y}^{{\prime} }}^{110}={\varepsilon }_{xx}-{\varepsilon }_{yy}\) | B1g | \(({c}_{11}-{c}_{12})/2\) | < 9 | not detected | \(\left| \frac{\partial {T}_{c}}{\partial {\varepsilon }_{{B}_{1g}}}\right| \sim \sqrt{-\frac{1}{2}\frac{{T}_{c}\Delta {c}_{{B}_{1g}}}{\Delta C}}\) | < 90 | − 730021 | \(\frac{{\partial }^{2}{T}_{c}}{\partial {\varepsilon }_{{B}_{1g}}^{2}}=-\frac{{T}_{c}}{\Delta C}\Delta \frac{\partial {c}_{{B}_{1g}}}{\partial T}\) | |
εyz, εzx | Eg | c44 | < 6 | — | no coupling | < 60 | — | no coupling | |
Compr. | εxx + εyy | A1g,1 | \(({c}_{11}+{c}_{12})/2\) | 3206 | 160021 | \(\left| \frac{\partial {T}_{c}}{\partial {\varepsilon }_{{A}_{1g,1}}}\right| \sim \sqrt{-\frac{{T}_{c}\Delta {c}_{{A}_{1g,1}}}{\Delta C}}\) | — | 250021 | \(\frac{{\partial }^{2}{T}_{c}}{\partial {\varepsilon }_{{A}_{1g,1}}^{2}}=-\frac{{T}_{c}}{\Delta C}\Delta \frac{\partial {c}_{{A}_{1g,1}}}{\partial T}\) |
εzz | A1g,2 | c33 | 3106 | 160021 | \(\left| \frac{\partial {T}_{c}}{\partial {\varepsilon }_{zz}}\right| \sim \sqrt{-\frac{{T}_{c}\Delta {c}_{33}}{\Delta C}}\) | — | — | — | |
