Chaos in Andreev Billiards

Details Chaos in Andreev Billiards Chaos in Andreev Billiards

1995-04-26

arxiv.org/abs/cond-mat/9504110v1

Physics

Condensed Matter

ReVTeX3.0, 4 pages, 3 figures appended as postscript file (uuencoded with uufiles)

Scientific paper

10.1103/PhysRevLett.75.1735

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 Poincar\'e sections and Lyapunov exponents. The issue of the feasibility of certain experimental realizations is addressed.

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