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Giant oscillations of energy levels in mesoscopic superconductors

N. B. Kopnin·A. S. Mel'nikov·V. I. Pozdnyakova·D. A. Ryzhov·I. A. Shereshevskii·V. M. Vinokur
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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.

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N. B. Kopnin, A. S. Mel'nikov, V. I. Pozdnyakova, D. A. Ryzhov, I. A. Shereshevskii, V. M. Vinokur. 2005-05-26. Giant oscillations of energy levels in mesoscopic superconductors. https://doi.org/10.1103/physrevlett.95.197002

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