Chaos in Andreev Billiards
Ioan Kosztin, Dmitrii L. Maslov, Paul M. Goldbart
DOI 10.1103/PhysRevLett.75.1735 · Physical Review Letters
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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, 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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