Quantum-classical correspondence in the wavefunctions of Andreev billiards

Abstract

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.

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

References in corpus (4)

• Simulation of Electron Transport through a Quantum Dot with Soft Walls
• Quantum-to-classical crossover for Andreev billiards in a magnetic field
• Magnetic-field dependence of transport in normal and Andreev billiards: a classical interpretation to the averaged quantum behavior
• Bound states in Andreev billiards with soft walls