Anisotropy of the superconducting transition temperature under uniaxial pressure

The superconducting transition temperature ${T}_{c}$ is calculated as a function of uniaxial pressure along the a, b, c directions for optimally doped ${\mathrm{YBa}}_{2}{\mathrm{Cu}}_{3}{\mathrm{O}}_{7\ensuremath{-}\ensuremath{\delta}}$ on the basis of a hole dispersion of the anisotropic $t\ensuremath{-}J$ model. There is a good qualitative agreement with experiments. We show that the uniaxial pressure effect on ${T}_{c}$ in the $\mathrm{ab}$ plane is due to the anisotropies of the hole dispersion and the in-plane pairing interaction, whereas the reduction of ${T}_{c}$ under uniaxial compression along the c axis mainly results from the pressure-induced increase of hole concentration of the ${\mathrm{CuO}}_{2}$ plane.

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