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Giant oscillations of energy levels in mesoscopic superconductors
Authors:Kopnin N B  Mel'nikov A S  Pozdnyakova V I  Ryzhov D A  Shereshevskii I A  Vinokur V M
Institution:Low Temperature Laboratory, Helsinki University of Technology, P.O. Box 2200, FIN-02015 HUT, Finland.
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 and (ii) a single vortex in a mesoscopic cylinder.
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