Non-retracing orbits in Andreev billiards
Florian Libisch, Stefan Rotter, Joachim Burgdörfer
DOI 10.1103/PhysRevB.73.045324 · Physical Review B
Active bibliographic source — not scientific approval
Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.
Abstract
The validity of the retracing approximation in the semiclassical quantization of Andreev billiards is investigated. The exact energy spectrum and the eigenstates of normal-conducting, ballistic quantum dots in contact with a superconductor are calculated by solving the Bogoliubov-de Gennes equation and compared with the semiclassical Bohr-Sommerfeld quantization for periodic orbits which result from Andreev reflections. We find deviations that are due to the assumption of exact retracing electron-hole orbits rather than the semiclassical approximation, as a concurrently performed Einstein-Brillouin-Keller quantization demonstrates. We identify three different mechanisms producing non-retracing orbits which are directly identified through differences between electron and hole wave functions.
Similar papers
Quantum-Classical Correspondence in the Wave Functions of Andreev Billiards
similarity 0.93A. Kormányos et al.
Source status unknown — claims are unverified
Negative Length Orbits in Normal-Superconductor Billiard Systems
similarity 0.90J. Cserti et al.
Source status unknown — claims are unverified
Quantum-to-classical crossover for Andreev billiards in a magnetic field
similarity 0.89M. C. Goorden et al.
Source status unknown — claims are unverified
Graphene Andreev billiards
similarity 0.89József Cserti et al.
Source status unknown — claims are unverified
Semiclassical Gaps in the Density of States of Chaotic Andreev Billiards
similarity 0.89Jack Kuipers et al.
Source status unknown — claims are unverified
Quantal Andreev billiards: Semiclassical approach to mesoscale oscillations in the density of states
similarity 0.87Inanc Adagideli & Paul M. Goldbart · 2001 · arXiv:cond-mat/0108102
Source status unknown — claims are unverified