Level statistics inside the core of a superconductive vortex |
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Authors: | M A Skvortsov M V Feigel’man V E Kravtsov |
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Institution: | (1) L. D. Landau Institute of Theoretical Physics, 117940 Moscow, Russia;(2) International Center for Theoretical Physics, 34100 Trieste, Italy |
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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∼Δ2/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 2 ln (1/ω
0
τ)]−1.
Pis’ma Zh. éksp. Teor. Fiz. 68, No. 1, 78–83 (10 July 1998)
Published in English in the original Russian journal. Edited by Steve Torstveit. |
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Keywords: | |
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