Ring-shaped Andreev billiards in quantizing magnetic fields

J. Cserti; P. Polinák; G. Palla; U. Zülicke; C. J. Lambert

doi:10.1103/PhysRevB.69.134514

Ring-shaped Andreev billiards in quantizing magnetic fields

J. Cserti, P. Polinák, G. Palla, U. Zülicke, and C. J. Lambert

Phys. Rev. B 69, 134514 – Published 21 April 2004

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.

Received 11 February 2004

DOI:https://doi.org/10.1103/PhysRevB.69.134514

Authors & Affiliations

J. Cserti^1,*, P. Polinák¹, G. Palla², U. Zülicke^3,†, and C. J. Lambert^4,‡

¹Department of Physics of Complex Systems, Eötvös University, Pázmány Péter sétány 1/A, H-1117 Budapest, Hungary
²Biological Physics Research Group of HAS, Eötvös University, Pázmány Péter sétány 1/A, H-1117 Budapest, Hungary
³Institute of Fundamental Sciences, Massey University, Private Bag 11 222, Palmerston North, New Zealand
⁴Department of Physics, Lancaster University, Lancaster LA1 4YB, United Kingdom

^*Electronic address: cserti@galahad.elte.hu
^†Electronic address: u.zuelicke@massey.ac.nz
^‡Electronic address: c.lambert@lancaster.ac.uk

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Vol. 69, Iss. 13 — 1 April 2004

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