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
TL;DR
This paper investigates how geometrical and Andreev quantization cause large oscillations in energy levels of mesoscopic superconductors, analyzing specific systems like quantum boxes and vortices.
Contribution
It formulates quantization rules for quasiparticle trajectories considering boundary scattering and explores two key mesoscopic systems.
Findings
Giant oscillations of energy levels as functions of Fermi momentum and sample size
Quantization rules for closed quasiparticle trajectories with boundary scattering
Analysis of Andreev states in quantum boxes and vortices
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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