Spectral correlations in disordered mesoscopic metals and their relevance for persistent currents

Details Spectral correlations in disordered mesoscopic metals and their relevance for persistent currents Spectral correlations in disordered mesoscopic metals and their relevance for persistent currents

1996-08-06

arxiv.org/abs/cond-mat/9608027v2

Mod. Phys. Lett. B 10, 1397 (1996)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

minor modifications in the text, accepted for publication in Mod. Phys. Lett. B

Scientific paper

10.1142/S0217984996001577

We use the Lanczos method to calculate the variance of the number of energy levels in an energy window of width E below the Fermi energy for non-interacting disordered electrons on a thin three-dimensional ring threaded by an Aharonov-Bohm flux . We find that for small E the flux-dependent part of the variance is well described by a well-known Feynman diagram involving two Cooperons. However, this result cannot be extrapolated to energies E where the energy-dependence of the average density of states becomes significant. We discuss consequences for persistent currents.

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