Giant oscillations of energy levels in mesoscopic superconductors

Physics – Condensed Matter – Superconductivity

Scientific paper

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4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.95.197002

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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