Ehrenfest-Time-Dependent Excitation Gap in a Chaotic Andreev Billiard

Phys. Rev. Lett. 89, 237002 – Published 14 November 2002
İ. Adagideli and C. W. J. Beenakker


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 0, which opens up a gap Egap in the excitation spectrum. The time scale /Egapα-1ln (with α the Lyapunov exponent) is the Ehrenfest time, the characteristic time scale of quantum chaos.


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  • Received 12 February 2002
  • Published 14 November 2002

© 2002 The American Physical Society

Authors & Affiliations

İ. Adagideli and C. W. J. Beenakker

  • Instituut-Lorentz, Universiteit Leiden, P.O. Box 9506, 2300 RA Leiden, The Netherlands

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