## Abstract

A microscopic theory of the Efetov supermatrix sigma-model type is constructed for the low-lying electron states in a mixed superconductive-normal system with disorder. This technique is used for the study of the localized states in the core of a vortex in a moderately clean superconductor with τ^{-1}≫ω_{0}∼Δ^{2}/E_{F}. At low energies ε≪ω_{Th}∼(ω_{0}/τ)^{1/2}, the energy level statistics is described by the "zero-dimensional" limit of this supermatrix theory, and the result for the density of states is equivalent to that obtained within Altland-Zirnbauer random matrix model. Nonzero modes of the sigma model increase the mean interlevel distance by the relative amount [2ln(1/ω_{0}τ)]^{-1}.

Original language | English |
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Pages (from-to) | 84-90 |

Number of pages | 7 |

Journal | JETP Letters |

Volume | 68 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1998 |

Externally published | Yes |