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

I Adagideli, CWJ Beenakker

Research output: Contribution to journalArticleAcademicpeer-review

21 Citations (Scopus)


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 ℏ→0, which opens up a gap Egap in the excitation spectrum. The time scale ℏ/Egap∝α−1lnℏ (with α the Lyapunov exponent) is the Ehrenfest time, the characteristic time scale of quantum chaos.
Original languageEnglish
Article number237002
JournalPhysical review letters
Issue number23
Publication statusPublished - 2 Dec 2002
Externally publishedYes


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