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The Cooperon and the Random Matrix Model for Type-II Superconductors

1997/11/20 by Safi R. Bahcall, Bahcall, Safi R.
Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Rare-earth and actinide compounds #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9711200

27 pages, RevTex, 1 postscript figure

arxiv created 1997/11/20 · openalex publication_date 1997/11/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive the connection between the Cooperon problem in weak localization theory and the random matrix description of type-II superconductors. As magnetic field and disorder increase, an extreme type-II superconductor crosses over from a state in which the low energy quasiparticles are primarily localized and the density of states is determined by the electronic structure of individual vortices, to a `chaotic' state, in which quasiparticles are primarily extended and the density of states is determined by the random matrix description.

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