Induced superconductivity distinguishes chaotic from integrable billiards

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.

4 pages RevTeX, 2 eps-figures included

References in corpus (5)

• Quantum Chaos, Irreversible Classical Dynamics and Random Matrix Theory
• Random Matrix Theory of a Chaotic Andreev Quantum Dot
• Correlation Functions in Disordered Systems
• Chaos in Andreev Billiards
• Effect of the coupling to a superconductor on the level statistics of a metal grain in a magnetic field

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