Kuipers, Jack and Waltner, Daniel and Petitjean, Cyril and Berkolaiko, Gregory and Richter, Klaus (2010) Semiclassical Gaps in the Density of States of Chaotic Andreev Billiards. PHYSICAL REVIEW LETTERS, 104 (2): 027001. ISSN 0031-9007,
Full text not available from this repository.Abstract
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 orbit correlations lead to the formation of the hard gap, as predicted by random matrix theory in the limit of negligible Ehrenfest time tau(E), and how the influence of a finite tau(E) causes the gap to shrink. Furthermore, for intermediate tau(E) we predict a second gap below E = pi h/2 tau(E) which would presumably be the clearest signature yet of tau(E) effects.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 10 Aug 2020 08:49 |
| Last Modified: | 10 Aug 2020 08:49 |
| URI: | https://pred.uni-regensburg.de/id/eprint/25304 |
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