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Chaos in Andreev Billiards

Ioan Kosztin·Dmitrii L. Maslov·Paul M. Goldbart
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Abstract

A new type of classical billiard - the Andreev billiard - is investigated using the tangent map technique. Andreev billiards consist of a normal region surrounded by a superconducting region. In contrast with previously studied billiards, Andreev billiards are integrable in zero magnetic field, {\it regardless of their shape}. A magnetic field renders chaotic motion in a generically shaped billiard, which is demonstrated for the Bunimovich stadium by examination of both Poincaré sections and Lyapunov exponents. The issue of the feasibility of certain experimental realizations is addressed.

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Ioan Kosztin, Dmitrii L. Maslov, Paul M. Goldbart. 1995-04-26. Chaos in Andreev Billiards. https://doi.org/10.1103/physrevlett.75.1735

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