Nonlinear $\sigma$ model for disordered superconductors

Abstract

We suggest a novel nonlinear $\sigma$-model for the description of disordered superconductors. The main distinction from existing models lies in the fact that the saddle point equation is solved non-perturbatively in the superconducting pairing field. It allows one to use the model both in the vicinity of the metal-superconductor transition and well below its critical temperature with full account for the self-consistency conditions. We show that the model reproduces a set of known results in different limiting cases, and apply it for a self-consistent description of the proximity effect at the superconductor-metal interface.

Revised version, 8 pages, 1 fig., revtex; final version, as published, contains a few corrections in the summary

References in corpus (1)

• Keldysh action for disordered superconductors

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