Effect of Level Statistics on Superconductivity in Ultrasmall Metallic Grains
Condensed Matter
2009-10-28 v1
Abstract
We examine the destruction of superconducting pairing in metallic grains as their size is decreased for both even and odd numbers of electrons. This occurs when the average level spacing d is of the same order as the BCS order parameter. The energy levels of these grains are randomly distributed according to random matrix theory, and we must work statistically. We find that the average value of the critical level spacing is larger than for the model of equally spaced levels for both parities, and derive numerically the probabilities that a grain of mean level spacing d shows pairing.
Keywords
Cite
@article{arxiv.cond-mat/9609027,
title = {Effect of Level Statistics on Superconductivity in Ultrasmall Metallic Grains},
author = {Robert A. Smith and Vinay Ambegaokar},
journal= {arXiv preprint arXiv:cond-mat/9609027},
year = {2009}
}
Comments
12 pages, 2 PostScript files, RevTex format, submitted to PRL