Quantum-to-classical crossover for Andreev billiards in a magnetic field

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dc.creatorGoorden, M. C.
dc.creatorJacquod, Ph.
dc.creatorBeenakker, C. W. J.
dc.date2005-05-09
dc.date2005-09-19
dc.date.accessioned2026-07-07T06:21:39Z
dc.date.available2026-07-07T06:21:39Z
dc.descriptionWe extend the existing quasiclassical theory for the superconducting proximity effect in a chaotic quantum dot, to include a time-reversal-symmetry breaking magnetic field. Random-matrix theory (RMT) breaks down once the Ehrenfest time $τ_E$ becomes longer than the mean time $τ_D$ between Andreev reflections. As a consequence, the critical field at which the excitation gap closes drops below the RMT prediction as $τ_E/τ_D$ is increased. Our quasiclassical results are supported by comparison with a fully quantum mechanical simulation of a stroboscopic model (the Andreev kicked rotator).
dc.description11 pages, 10 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0505206
dc.identifierhttp://arxiv.org/abs/cond-mat/0505206
dc.identifierPhys. Rev. B 72, 064526 (2005)
dc.identifierdoi:10.1103/PhysRevB.72.064526
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95663
dc.subjectMesoscale and Nanoscale Physics
dc.titleQuantum-to-classical crossover for Andreev billiards in a magnetic field
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