TY - JOUR

T1 - Quantum-classical correspondence in the wave functions of Andreev billiards

AU - Kormanyos, A.

AU - Kaufmann, Z.

AU - Cserti, J.

AU - Lambert, C. J.

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevLett.96.237002

DO - 10.1103/PhysRevLett.96.237002

M3 - Journal article

VL - 96

SP - -

JO - Physical review letters

JF - Physical review letters

IS - 23

M1 - 237002

ER -