Giant Oscillations of Energy Levels in Mesoscopic Superconductors

N. B. Kopnin, A. S. Mel’nikov, V. I. Pozdnyakova, D. A. Ryzhov, I. A. Shereshevskii, and V. M. Vinokur

Phys. Rev. Lett. 95, 197002 – Published 1 November 2005

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.

Received 26 May 2005

DOI:https://doi.org/10.1103/PhysRevLett.95.197002

Authors & Affiliations

N. B. Kopnin^1,2, A. S. Mel’nikov^3,4, V. I. Pozdnyakova³, D. A. Ryzhov³, I. A. Shereshevskii³, and V. M. Vinokur⁴

¹Low Temperature Laboratory, Helsinki University of Technology, P.O. Box 2200, FIN-02015 HUT, Finland
²L. D. Landau Institute for Theoretical Physics, 117940 Moscow, Russia
³Institute for Physics of Microstructures, Russian Academy of Sciences, 603950, Nizhny Novgorod, GSP-105, Russia
⁴Argonne National Laboratory, Argonne, Illinois 60439, USA

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Issue

Vol. 95, Iss. 19 — 4 November 2005

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