Level statistics inside the core of a superconductive vortex

M. A. Skvortsov, M. V. Feigel'man, V. E. Kravtsov

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15 Citations (Scopus)


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≫ω0∼Δ2/EF. At low energies ε≪ωTh∼(ω0/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/ω0τ)]-1.

Original languageEnglish
Pages (from-to)84-90
Number of pages7
JournalJETP Letters
Issue number1
Publication statusPublished - 1998
Externally publishedYes


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