Universal Parametric correlations at the soft edge of the spectrum of random matrix ensembles

Details Universal Parametric correlations at the soft edge of the spectrum of random matrix ensembles Universal Parametric correlations at the soft edge of the spectrum of random matrix ensembles

1994-04-14

arxiv.org/abs/cond-mat/9404038v1

Physics

Condensed Matter

8 pages, written in TeX, Preprint OUTP-94-10S (University of Oxford)

Scientific paper

10.1209/0295-5075/26/9/001

We extend a recent theory of parametric correlations in the spectrum of
random matrices to study the response to an external perturbation of
eigenvalues near the soft edge of the support. We demonstrate by explicit
non-perturbative calculation that the two-point function for level density
fluctuations becomes, after appropriate rescaling, a universal expression.

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