Quantum-classical correspondence in the wavefunctions of Andreev billiards

Details Quantum-classical correspondence in the wavefunctions of Andreev billiards Quantum-classical correspondence in the wavefunctions of Andreev billiards

2005-06-24

arxiv.org/abs/cond-mat/0506671v1

Phys. Rev. Lett. 96, 237002 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 figures, good quality figures are available upon request

Scientific paper

10.1103/PhysRevLett.96.237002

We present a classical and quantum mechanical study of an Andreev billiard with a chaotic normal dot. We demonstrate that in general the classical dynamics of these normal-superconductor hybrid systems is mixed, thereby indicating the limitations of a widely used retracing approximation. We show that the mixed classical dynamics gives rise to a wealth of wavefunction phenomena, including periodic orbit scarring and localization of the wavefunction onto other classical phase space objects such as intermittent regions and quantized tori.

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