Universality in the level statistics of disordered systems

Heiko Bauke, Stephan Mertens

Published 2004-04-20, updated 2004-08-26Version 2

Energy spectra of disordered systems share a common feature: if the entropy of the quenched disorder is larger than the entropy of the dynamical variables, the spectrum is locally that of a random energy model and the correlation between energy and configuration is lost. We demonstrate this effect for the Edwards-Anderson model, but we also discuss its universality.