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Ring-shaped Andreev billiards in quantizing magnetic fields

Ring-shaped Andreev billiards in quantizing magnetic fields 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review B American Physical Society (APS)

Ring-shaped Andreev billiards in quantizing magnetic fields

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Publisher
American Physical Society (APS)
Copyright
Copyright © 2004 The American Physical Society
ISSN
1550-235X
DOI
10.1103/PhysRevB.69.134514
Publisher site
See Article on Publisher Site

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.

Journal

Physical Review BAmerican Physical Society (APS)

Published: Apr 1, 2004

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