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Level statistics inside the core of a superconductive vortex | | M. A. Skvortsov
; V. E. Kravtsov
; M. V. Feigel’man
; | | Date: |
22 May 1998 | | Journal: | JETP Lett. 68, 84 (1998) | | Subject: | Mesoscopic Systems and Quantum Hall Effect; Superconductivity | cond-mat.mes-hall cond-mat.supr-con | | Abstract: | Microscopic theory of the type of Efetov’s supermatrix sigma-model is constructed for the low-lying electron states in a mixed superconductive-normal system with disorder. The developed technique is used for the study of the localized states in the core of a vortex in a moderately clean superconductor (1/Delta << au << 1/omega_0 = E_F/Delta^2). At sufficiently low energies E << omega_{Th}, the energy level statistics is described by the "zero-dimensional" limit of this supermatrix theory, with the effective "Thouless energy" omega_{Th} sim (omega_0/ au)^{1/2}. Within this energy range the result for the density of states is equivalent to that obtained within Altland-Zirnbauer random matrix model of class C. Nonzero modes of the sigma-model increase the mean interlevel distance omega_0 by the relative amount of the order of [2ln(1/omega_0 au)]^{-1}. | | Source: | arXiv, cond-mat/9805296 | | Services: | Forum | Review | PDF | Favorites | |
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