Level statistics inside the core of a superconductive vortex
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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/E F . 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 [2 ln (1/ω0τ)]−1.
PACS numbers74.60.Ec 74.25.Jb 74.80.Fp
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