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 1550-235XFull text not available from this repository.
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.
|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|
|Deposited By:||Ms Margaret Calder|
|Deposited On:||06 Jun 2008 16:32|
|Last Modified:||26 Jul 2012 18:36|
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