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Quantum-classical correspondence in the wave functions of Andreev billiards

Research output: Contribution to journalJournal article

Article number237002
<mark>Journal publication date</mark>2006
<mark>Journal</mark>Physical Review Letters
Issue number23
Number of pages4
Pages (from-to)-
<mark>Original language</mark>English


We present a classical and quantum mechanical study of an Andreev billiard with a chaotic normal dot. We demonstrate that the nonexact velocity reversal and the diffraction at the edges of the normal-superconductor contact render the classical dynamics of these systems mixed indicating the limitations of a widely used retracing approximation. We point out the close relation between the mixed classical phase space and the properties of the quantum states of Andreev billiards, including periodic orbit scarring and localization of the wave function onto other classical phase space objects such as intermittent regions and quantized tori.