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Ring-shaped Andreev billiards in quantizing magnetic fields.

Research output: Contribution to journalJournal article


Article number134514
Journal publication date21/04/2004
JournalPhysical Review B
Number of pages7
Original languageEnglish


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.