Universal gap fluctuations in the superconductor proximity effect

Details Universal gap fluctuations in the superconductor proximity effect Universal gap fluctuations in the superconductor proximity effect

2000-06-23

arxiv.org/abs/cond-mat/0006375v1

Phys. Rev. Lett. 86, 874 (2001).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevLett.86.874

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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