A pseudointegrable Andreev billiard

Details A pseudointegrable Andreev billiard A pseudointegrable Andreev billiard

2001-06-25

arxiv.org/abs/nlin/0106037v2

Nonlinear Sciences

Chaotic Dynamics

5 pages, 5 figures, to appear in PRE

Scientific paper

10.1103/PhysRevE.65.036221

A circular Andreev billiard in a uniform magnetic field is studied. It is demonstrated that the classical dynamics is pseudointegrable in the same sense as for rational polygonal billiards. The relation to a specific polygon, the asymmetric barrier billiard, is discussed. Numerical evidence is presented indicating that the Poincare map is typically weak mixing on the invariant sets. This link between these different classes of dynamical systems throws some light on the proximity effect in chaotic Andreev billiards.

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