%0 Journal Article %T Chaos in Andreev Billiards %A Ioan Kosztin %A Dmitrii L. Maslov %A Paul M. Goldbart %J Physics %D 1995 %I arXiv %R 10.1103/PhysRevLett.75.1735 %X 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. %U http://arxiv.org/abs/cond-mat/9504110v1