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Ring-shaped Andreev billiards in quantizing magnetic fields.

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Article number134514
<mark>Journal publication date</mark>21/04/2004
<mark>Journal</mark>Physical Review B
Issue number13
Volume69
Number of pages7
<mark>State</mark>Published
<mark>Original language</mark>English

Abstract

We present a detailed semiclassical study of a clean disk-shaped insulator–normal-metal–superconductor hybrid system in a magnetic field. It is based on an exact secular equation that we derived within the microscopic Bogoliubov–de Gennes (BdG) formalism. Results obtained from a classification of electron and hole orbits are in excellent agreement with those from an exact numerical diagonalization of the BdG equation. Our analysis opens up different possibilities for determining thermodynamic properties of mesoscopic hybrid systems.