Spectral correlations in disordered mesoscopic metals and their relevance for persistent currents
Mesoscale and Nanoscale Physics
2009-10-28 v2
Abstract
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.
Cite
@article{arxiv.cond-mat/9608027,
title = {Spectral correlations in disordered mesoscopic metals and their relevance for persistent currents},
author = {Axel Voelker and Peter Kopietz},
journal= {arXiv preprint arXiv:cond-mat/9608027},
year = {2009}
}
Comments
minor modifications in the text, accepted for publication in Mod. Phys. Lett. B