Universal Parametric Correlations of Eigenvalues of Random Matrix Ensemble
Condensed Matter
2009-10-22 v1
Abstract
Eigenvalue correlations of random matrix ensembles as a function of an external perturbation are investigated vis the Dyson Brownian Motion Model in the situation where the level density has a hard edge singularity. By solving a linearized hydrodynamical equation, a universal dependence of the density-density correlator on the external field is found. As an application we obtain a formula for the variance of linear statistics with the parametric dependence exhibited as a Laplace transform.
Cite
@article{arxiv.cond-mat/9410050,
title = {Universal Parametric Correlations of Eigenvalues of Random Matrix Ensemble},
author = {Kasper Eriksen and Yang Chen},
journal= {arXiv preprint arXiv:cond-mat/9410050},
year = {2009}
}
Comments
23 pages, latex