paper

Giant oscillations of energy levels in mesoscopic superconductors

arXiv:cond-mat/0505645 · doi:10.1103/PhysRevLett.95.197002

Abstract

The interplay of geometrical and Andreev quantization in mesoscopic superconductors leads to giant mesoscopic oscillations of energy levels as functions of the Fermi momentum and/or sample size. Quantization rules are formulated for closed quasiparticle trajectories in the presence of normal scattering at the sample boundaries. Two generic examples of mesoscopic systems are studied: (i) one dimensional Andreev states in a quantum box, (ii) a single vortex in a mesoscopic cylinder.

4 pages, 3 figures