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Induced superconductivity distinguishes chaotic from integrable billiards

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1996 EDP Sciences
, , Citation J. A. Melsen et al 1996 EPL 35 7 DOI 10.1209/epl/i1996-00522-9

0295-5075/35/1/7

Abstract

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.

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