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Andreev Billiards

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Quantum Dots: a Doorway to Nanoscale Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 667))

Abstract

This is a review of recent advances in our understanding of how Andreev reflection at a superconductor modifies the excitation spectrum of a quantum dot. The emphasis is on two-dimensional impurity-free structures in which the classical dynamics is chaotic. Such Andreev billiards differ in a fundamental way from their non-superconducting counterparts. Most notably, the difference between chaotic and integrable classical dynamics shows up already in the level density, instead of only in the level-level correlations. A chaotic billiard has a gap in the spectrum around the Fermi energy, while integrable billiards have a linearly vanishing density of states.

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  1. Instituut-Lorentz, Universiteit Leiden, 9506, 2300 RA, Leiden, The Netherlands

    C.W.J. Beenakker

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W. Dieter Heiss

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Beenakker, C. Andreev Billiards. In: Dieter Heiss, W. (eds) Quantum Dots: a Doorway to Nanoscale Physics. Lecture Notes in Physics, vol 667. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11358817_4

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