The supersymmetric technique for random-matrix ensembles with zero eigenvalues
Condensed Matter
2009-11-07 v2
Abstract
The supersymmetric technique is applied to computing the average spectral density near zero energy in the large-N limit of the random-matrix ensembles with zero eigenvalues: B, DIII-odd, and the chiral ensembles (classes AIII, BDI, and CII). The supersymmetric calculations reproduce the existing results obtained by other methods. The effect of zero eigenvalues may be interpreted as reducing the symmetry of the zero-energy supersymmetric action by breaking a certain abelian symmetry.
Cite
@article{arxiv.cond-mat/0103137,
title = {The supersymmetric technique for random-matrix ensembles with zero eigenvalues},
author = {D. A. Ivanov},
journal= {arXiv preprint arXiv:cond-mat/0103137},
year = {2009}
}
Comments
22 pages, introduction modified, one reference added