Critical temperature of an anisotropic superconductor containing both nonmagnetic and magnetic impurities

Leonid A. Openov

doi:10.1103/PhysRevB.58.9468

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Critical temperature of an anisotropic superconductor containing both nonmagnetic and magnetic impurities

Leonid A. Openov

DOI 10.1103/PhysRevB.58.9468 · Physical Review B

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Abstract

The combined effect of both nonmagnetic and magnetic impurities on the superconducting transition temperature is studied theoretically within the BCS model. An expression for the critical temperature as a function of potential and spin-flip scattering rates is derived for a two-dimensional superconductor with arbitrary in-plane anisotropy of the superconducting order parameter, ranging from isotropic s wave to d wave (or any pairing state with nonzero angular momentum) and including anisotropic s wave and mixed (d+s) wave as particular cases. This expression generalizes the well-known Abrikosov-Gor’kov formula for the critical temperature of impure superconductors. The effect of defects and impurities in high-temperature superconductors is discussed.