Eliashberg-like theory for Dynes superconductors
Adam Škrlec, Richard Hlubina
DOI 10.1103/PhysRevB.109.014507 · Physical Review B
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Abstract
The existing literature on the influence of impurities on superconductivity follows two different approaches. In the first one, a simple BCS-like instantaneous electron-electron interaction is considered, and special care is taken to treat the scattering on impurities as accurately as possible. On the other hand, the second approach starts with more realistic phonon-induced retarded electron-electron interactions, but treats the impurities only within the simplest Born approximation. Here we develop a theory combining the strengths of both of these approaches. This allows us to describe the recently introduced Dynes superconductors within an Eliashberg-like theory. One of the results of the developed theory is that the Dynes scattering parameter may depend on temperature, in qualitative agreement with recent experiments.
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