Bound states in Andreev billiards with soft walls

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dc.creatorLibisch, F.
dc.creatorRotter, S.
dc.creatorBurgdoerfer, J.
dc.creatorKormanyos, A.
dc.creatorCserti, J.
dc.date2005-04-05
dc.date.accessioned2026-07-07T06:19:47Z
dc.date.available2026-07-07T06:19:47Z
dc.descriptionThe energy spectrum and the eigenstates of a rectangular quantum dot containing soft potential walls in contact with a superconductor are calculated by solving the Bogoliubov-de Gennes (BdG) equation. We compare the quantum mechanical solutions with a semiclassical analysis using a Bohr--Sommerfeld (BS) quantization of periodic orbits. We propose a simple extension of the BS approximation which is well suited to describe Andreev billiards with parabolic potential walls. The underlying classical periodic electron-hole orbits are directly identified in terms of ``scar'' like features engraved in the quantum wavefunctions of Andreev states determined here for the first time.
dc.description8 pages, 6 figures, submitted to Phys. Rev
dc.identifierhttps://arxiv.org/abs/cond-mat/0504098
dc.identifierhttp://arxiv.org/abs/cond-mat/0504098
dc.identifierPhys. Rev. B 72, 075304 (2005).
dc.identifierdoi:10.1103/PhysRevB.72.075304
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95143
dc.subjectMesoscale and Nanoscale Physics
dc.titleBound states in Andreev billiards with soft walls
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