Spectrum of the Andreev Billiard and Giant Fluctuations of the Ehrenfest Time

dc.creatorSilvestrov, P. G.
dc.date2005-12-22
dc.date2006-09-13
dc.date.accessioned2026-07-07T06:53:39Z
dc.date.available2026-07-07T06:53:39Z
dc.descriptionThe density of states in the semiclassical Andreev billiard is theoretically studied and shown to be determined by the fluctuations of the classical Lyapunov exponent $λ$. The rare trajectories with a small value of $λ$ give rise to an anomalous increase of the Ehrenfest time $τ_E\approx |\ln\hbar|/λ$ and, consequently, to the appearance of Andreev levels with small excitation energy. The gap in spectrum is obtained and fluctuations of the value of the gap due to different positions of superconducting lead are considered.
dc.description4 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0512592
dc.identifierhttp://arxiv.org/abs/cond-mat/0512592
dc.identifierPhys. Rev. Lett. 97, 067004 (2006)
dc.identifierdoi:10.1103/PhysRevLett.97.067004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105659
dc.subjectMesoscale and Nanoscale Physics
dc.subjectSuperconductivity
dc.titleSpectrum of the Andreev Billiard and Giant Fluctuations of the Ehrenfest Time
dc.typetext

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