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Condensed Matter > Mesoscale and Nanoscale Physics

arXiv:cond-mat/9902037 (cond-mat)
[Submitted on 3 Feb 1999]

Title:Level statistics inside the vortex of a superconductor and symplectic random matrix theory in an external source

Authors:E. Brezin, S. Hikami, A. I. Larkin
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Abstract: In the core of the vortex of a superconductor, energy levels appear inside the gap. We discuss here through a random matrix approach how these levels are broadened by impurities. It is first shown that the level statistics is governed by an ensemble consisting of a symplectic random potential added to a non-random matrix. A generalization of previous work on the unitary ensemble in the presence of an external source (which relied on the Itzykson-Zuber integral) is discussed for this symplectic case through the formalism introduced by Harish-Chandra and Duistermaat-Heckman. This leads to explicit formulae for the density of states and for the correlation functions, which describe the cross-over from the clean to the dirty limits.
Comments: 34 pages, Revtex
Subjects: Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
Cite as: arXiv:cond-mat/9902037 [cond-mat.mes-hall]
  (or arXiv:cond-mat/9902037v1 [cond-mat.mes-hall] for this version)
  https://doi.org/10.48550/arXiv.cond-mat/9902037
Related DOI: https://doi.org/10.1103/PhysRevB.60.3589

Submission history

From: Shinobu Hikami [view email]
[v1] Wed, 3 Feb 1999 07:46:06 UTC (23 KB)
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