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Universal spectral statistics of Andreev billiards: semiclassical approach

Sven Gnutzmann·Burkhard Seif·Felix von Oppen·Martin R. Zirnbauer
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Abstract

The classification of universality classes of random-matrix theory has recently been extended beyond the Wigner-Dyson ensembles. Several of the novel ensembles can be discussed naturally in the context of superconducting-normal hybrid systems. In this paper, we give a semiclassical interpretation of their spectral form factors for both quantum graphs and Andreev billiards.

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Sven Gnutzmann, Burkhard Seif, Felix von Oppen, Martin R. Zirnbauer. 2003-04-10. Universal spectral statistics of Andreev billiards: semiclassical approach. https://doi.org/10.1103/physreve.67.046225

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