Magnetic-field dependence of transport in normal and Andreev billiards: A classical interpretation of the averaged quantum behavior

Fytas, N. G. and Diakonos, F. K. and Schmelcher, P. and Scheid, Matthias and Lassl, Andreas and Richter, Klaus and Fagas, G. (2005) Magnetic-field dependence of transport in normal and Andreev billiards: A classical interpretation of the averaged quantum behavior. PHYSICAL REVIEW B, 72 (8): 085336. ISSN 1098-0121,

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Abstract

We perform a comparative study of the quantum and classical transport probabilities of low-energy quasiparticles ballistically traversing normal and Andreev two-dimensional open cavities with a Sinai-billiard shape. We focus on the dependence of the transport on the strength of an applied magnetic field B. With increasing field strength the classical dynamics changes from mixed to regular phase space. Averaging out the quantum fluctuations, we find an excellent agreement between the quantum and classical transport coefficients in the complete range of field strengths. This allows an overall description of the nonmonotonic behavior of the average magnetoconductance in terms of the corresponding classical trajectories, thus, establishing a basic tool useful in the design and analysis of experiments.

Item Type: Article
Uncontrolled Keywords: SINAI BILLIARD;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter
Depositing User: Dr. Gernot Deinzer
Date Deposited: 03 May 2021 12:30
Last Modified: 03 May 2021 12:30
URI: https://pred.uni-regensburg.de/id/eprint/35848

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