Ring--Shaped Andreev Billiards in Quantizing Magnetic Fields

(2) Universit\"at Karlsruhe; (3) Lancaster University; C. J. Lambert (3) ((1) E\"otv\"os University; Germany; G. Palla (1); J. Cserti (1); Karlsruhe; Lancaster; P. Polin\'ak (1); UK)

arxiv: cond-mat/0303246 · v1 · pith:BHQKTLH2new · submitted 2003-03-13 · ❄️ cond-mat.mes-hall · cond-mat.dis-nn· cond-mat.supr-con

Ring--Shaped Andreev Billiards in Quantizing Magnetic Fields

J. Cserti (1) , P. Polin\'ak (1) , G. Palla (1) , U. Z\"ulicke (2) , C. J. Lambert (3) ((1) E\"otv\"os University , (2) Universit\"at Karlsruhe , Karlsruhe , Germany

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(3) Lancaster University Lancaster UK)

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classification ❄️ cond-mat.mes-hall cond-mat.dis-nncond-mat.supr-con

keywords equationexacthybridmagneticagreementanalysisandreevbilliards

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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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Ring--Shaped Andreev Billiards in Quantizing Magnetic Fields

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