Bound states in Andreev billiards with soft walls

Libisch, F. and Rotter, S. and Burgdörfer, J. and Kormanyos, Andor and Cserti, J. (2005) Bound states in Andreev billiards with soft walls. Physical review B, 72 (7). 075304. ISSN 1550-235X

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Abstract

The energy spectrum and the eigenstates of a rectangular quantum dot containing soft potential walls in contact with a superconductor are calculated by solving the Bogoliubov–de Gennes equation. We compare the quantum mechanical solutions with a semiclassical analysis using a Bohr-Sommerfeld (BS) quantization of periodic orbits. We propose a simple extension of the BS approximation which is well suited to describe Andreev billiards with parabolic potential walls. The underlying classical periodic electron-hole orbits are directly identified in terms of "scar"-like features engraved in the quantum wave functions of Andreev states which we determine here explicitly.

Item Type:
Journal Article
Journal or Publication Title:
Physical review B
Uncontrolled Keywords:
/dk/atira/pure/researchoutput/libraryofcongress/qc
Subjects:
?? quantum dotsmesoscopic systemsquantum theorybound stateselectronic density of statesqc physics ??
ID Code:
9408
Deposited By:
Deposited On:
06 Jun 2008 15:32
Refereed?:
Yes
Published?:
Published
Last Modified:
15 Jul 2024 11:39