Quasiclassical fluctuations of the superconductor proximity gap in a chaotic system
Goorden, M. C. · Jacquod, Ph. · Beenakker, C. W. J.
Original · EN
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 τₑ≪ℏ/Eₜ (with τₑ the Ehrenfest time and Eₜ the Thouless energy). For τₑℏ/ 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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