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

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 non-monotonic 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.

11 pages, 12 figures; minor revisions including updated inset of Fig. 4(b) and references; version as accepted for publication to Phys. Rev. B

References in corpus (1)

• Andreev billiards

Cited by in corpus (5)

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• Decreasing excitation gap in Andreev billiards by disorder scattering
• Geometry effects in the magnetoconductance of normal and Andreev Sinai billiards