Quasiclassical fluctuations of the superconductor proximity gap in a chaotic system
M. C. Goorden, Ph. Jacquod, C. W. J. Beenakker
DOI 10.1103/PhysRevB.68.220501 · Physical Review B
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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 of the order of magnitude of the level spacing, predicted by random-matrix theory, apply if τE≪ħ/ET (with τE the Ehrenfest time and ET the Thouless energy). For τE≳ħ/ET the fluctuations are much greater than the level spacing. We demonstrate the quasiclassical nature of the gap fluctuations in the large-τE regime by correlating them to an integral over the classical dwell-time distribution.
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