Normal and superconducting state in the presence of forward electron-phonon and impurity scattering
Abstract
Impurities with the pronounced forward scattering (FS impurities) change analytical properties of the quasiparticle Green's function substantially compared to the isotropic scattering. By assuming that the superconducting pairing is due to the forward E-P scattering (FEP pairing) it is shown that the critical temperature of clean systems Tc0 depends linearly on the E-P coupling constant λand the isotope effect αis small. The FS impurities make α=1/2 in the dirty limit and affect in the same way the s- and d-wave FEP pairing. The FS impurities are pair-weakening in both pairing channels. The usual isotropic impurity scattering is pair-weakening for the s-wave and pair-breaking for the d-wave FEP pairing.
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