Universal Gap Fluctuations in the Superconductor Proximity Effect

M. G. Vavilov, P. W. Brouwer, V. Ambegaokar, and C. W. J. Beenakker
Phys. Rev. Lett. 86, 874 – Published 29 January 2001
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Abstract

Random-matrix theory is used to study the mesoscopic fluctuations of the excitation gap in a metal grain or quantum dot induced by the proximity to a superconductor. We propose that the probability distribution of the gap is a universal function in rescaled units. Our analytical prediction for the gap distribution agrees well with exact diagonalization of a model Hamiltonian.

  • Received 21 June 2000

DOI:https://doi.org/10.1103/PhysRevLett.86.874

©2001 American Physical Society

Authors & Affiliations

M. G. Vavilov, P. W. Brouwer, and V. Ambegaokar

  • Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853

C. W. J. Beenakker

  • Instituut-Lorentz, Universiteit Leiden, P.O. Box 9506, 2300 RA Leiden, The Netherlands

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Vol. 86, Iss. 5 — 29 January 2001

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