Non-retracing orbits in Andreev billiards

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dc.creatorLibisch, F.
dc.creatorRotter, S.
dc.creatorBurgdoerfer, J.
dc.date2005-12-13
dc.date.accessioned2026-07-07T06:53:18Z
dc.date.available2026-07-07T06:53:18Z
dc.descriptionThe validity of the retracing approximation in the semiclassical quantization of Andreev billiards is investigated. The exact energy spectrum and the eigenstates of normal-conducting, ballistic quantum dots in contact with a superconductor are calculated by solving the Bogoliubov-de Gennes equation and compared with the semiclassical Bohr-Sommerfeld quantization for periodic orbits which result from Andreev reflections. We find deviations that are due to the assumption of exact retracing electron-hole orbits rather than the semiclassical approximation, as a concurrently performed Einstein-Brillouin-Keller quantization demonstrates. We identify three different mechanisms producing non-retracing orbits which are directly identified through differences between electron and hole wave functions.
dc.description9 pages, 12 figures, Phys. Rev. B (in print), high resolution images available upon request
dc.identifierhttps://arxiv.org/abs/cond-mat/0512259
dc.identifierhttp://arxiv.org/abs/cond-mat/0512259
dc.identifierPhys.Rev.B 73, 045324 (2006)
dc.identifierdoi:10.1103/PhysRevB.73.045324
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105537
dc.subjectMesoscale and Nanoscale Physics
dc.titleNon-retracing orbits in Andreev billiards
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