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
Full text not available from this repository.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: | Article |
|---|---|
| Journal or Publication Title: | Physical Review B |
| Uncontrolled Keywords: | quantum dots ; mesoscopic systems ; quantum theory ; bound states ; electronic density of states |
| Subjects: | Q Science > QC Physics |
| Departments: | Faculty of Science and Technology > Physics |
| ID Code: | 9408 |
| Deposited By: | Ms Margaret Calder |
| Deposited On: | 06 Jun 2008 16:32 |
| Refereed?: | Yes |
| Published?: | Published |
| Last Modified: | 26 Jul 2012 18:36 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/9408 |
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