Ring--Shaped Andreev Billiards in Quantizing Magnetic Fields

Details Ring--Shaped Andreev Billiards in Quantizing Magnetic Fields Ring--Shaped Andreev Billiards in Quantizing Magnetic Fields

2003-03-13

arxiv.org/abs/cond-mat/0303246v1

Physical Review B 69, 134514 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 8 figures

Scientific paper

10.1103/PhysRevB.69.134514

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 new possibilities for determining thermodynamic properties of mesoscopic hybrid systems.

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