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Ehrenfest-time-dependent excitation gap in a chaotic Andreev billiard

Adagideli, Inanc and Beenakker, C. (2002) Ehrenfest-time-dependent excitation gap in a chaotic Andreev billiard. Physical Review Letters 89, p. 237002.

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Other URL: http://prola.aps.org/abstract/PRL/v89/i23/e237002


A semiclassical theory is developed for the appearance of an excitation gap in a ballistic chaotic cavity connected by a point contact to a superconductor. Diffraction at the point contact is a singular perturbation in the limit $\\hbar\\to 0$, which opens up a gap $E_{\\rm gap}$ in the excitation spectrum. The time scale $\\hbar/E_{\\rm gap}\\propto\\alpha^{-1}\\ln\\hbar$ (with $\\alpha$ the Lyapunov exponent) is the Ehrenfest time, the characteristic time scale of quantum chaos.

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Item type:Article
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cond-mat/0202206arXiv ID
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Dewey Decimal Classification:500 Science > 530 Physics
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Deposited on:20 Mar 2007
Last modified:05 Aug 2009 13:33
Item ID:1861
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