Abstract
The algebraic structure of linearized Eliashberg theory atT=T c is exploited to derive expressions for the anisotropic gapΔ(k, iω n ) and theT c-enhancement. These formulas are exact to second order in the anisotropy, and require as input the isotropic gapΔ(k, iω n ), the anisotropic spectral function α2 F(k, Ω), and the impurity scattering rate 1/τ k . Approximate formulas based on a square well model are also given. The formulas for impurity effects are new and very simple.
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Allen, P.B. Transition temperature and gap anisotropy of pure and impure superconductors. Z. Physik B - Condensed Matter 47, 45–53 (1982). https://doi.org/10.1007/BF01686182
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DOI: https://doi.org/10.1007/BF01686182