Volume 35, Number 1, July I 1996
|Page(s)||7 - 12|
|Published online||01 September 2002|
Induced superconductivity distinguishes chaotic from integrable billiards
Instituut-Lorentz, University of Leiden,
P.O. Box 9506, 2300 RA Leiden, The Netherlands
Accepted: 17 May 1996
Random matrix theory is used to show that the proximity to a superconductor opens a gap in the excitation spectrum of an electron gas confined to a billiard with a chaotic classical dynamics. In contrast, a gapless spectrum is obtained for a non-chaotic rectangular billiard, and it is argued that this is generic for integrable systems.
PACS: 05.45.+b – Theory and models of chaotic systems / 74.50.+r – Proximity effects, weak links, tunneling phenomena, and Josephson effects / 74.80.Fp – Point contacts; SN and SNS junctions
© EDP Sciences, 1996
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