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Semiclassical gaps in the density of states of chaotic Andreev billiards

URN to cite this document:
Kuipers, Jack ; Waltner, Daniel ; Petitjean, Cyril ; Berkolaiko, Gregory ; Richter, Klaus
PDF - Published Version
PDF - Accepted Version
arXiv PDF (14.01.2010)
PDF - Submitted Version
arXiv PDF (15.07.2009)
Date of publication of this fulltext: 06 Aug 2009 07:06


The connection of a superconductor to a chaotic ballistic quantum dot leads to interesting phenomena, most notably the appearance of a hard gap in its excitation spectrum. Here we treat such an Andreev billiard semiclassically where the density of states is expressed in terms of the classical trajectories of electrons (and holes) that leave and return to the superconductor. We show how classical ...


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