Large N limit of the exactly solvable BCS model: analytics versus numerics
Superconductivity
2011-07-19 v2 Nuclear Theory
Abstract
We have studied the numerical solutions of Richardson equations of the BCS model in the limit of large number of energy levels at half-filling, and compare them with the analytic results derived by Gaudin and Richardson, which in turn leads to the standard BCS solution. We focus on the location and density of the roots, the eigenvalues of the conserved quantities, and the scaling properties of the total energy for the equally spaced and the two-level models.
Keywords
Cite
@article{arxiv.cond-mat/0202070,
title = {Large N limit of the exactly solvable BCS model: analytics versus numerics},
author = {J. M. Roman and G. Sierra and J. Dukelsky},
journal= {arXiv preprint arXiv:cond-mat/0202070},
year = {2011}
}
Comments
Revtex 4 file. 24 pages with 13 figures in text. Minor changes, references added