中文

Nonlinear $\sigma$ model for disordered superconductors

超导电性 2009-10-31 v3 无序系统与神经网络 介观与纳米尺度物理

摘要

We suggest a novel nonlinear σ\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.

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引用

@article{arxiv.cond-mat/0006378,
  title  = {Nonlinear $\sigma$ model for disordered superconductors},
  author = {I. V. Yurkevich and Igor V. Lerner},
  journal= {arXiv preprint arXiv:cond-mat/0006378},
  year   = {2009}
}

备注

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