Quasiclassical fluctuations of the superconductor proximity gap in a chaotic system

2003/06/30 by M. C. Goorden, Ph. Jacquod, C. W. J. Beenakker
Physics and Astronomy · #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.68.220501

published as Phys. Rev. B 68, 220501(R) (2003) · 4 pages, 3 figures

arxiv created 2004/01/14 · arxiv updated 2009/11/30

Abstract

We calculate the sample-to-sample fluctuations in the excitation gap of a chaotic dynamical system coupled by a narrow lead to a superconductor. Quantum fluctuations on the order of magnitude of the level spacing, predicted by random-matrix theory, apply if τ_E≪ℏ/E_T (with τ_E the Ehrenfest time and E_T the Thouless energy). For τ_E\agtℏ/ E_T the fluctuations are much greater than the level spacing. We demonstrate the quasiclassical nature of the gap fluctuations in the large-τ_E regime by correlating them to an integral over the classical dwell-time distribution.

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