Universal gap fluctuations in the superconductor proximity effect.

Phys Rev Lett

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

Published: January 2001

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.

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http://dx.doi.org/10.1103/PhysRevLett.86.874DOI Listing

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