Abstract
We investigate the three-dimensional Anderson model of localization via a modified transfer matrix method in the presence of scale-free diagonal disorder characterized by a disorder correlation function g(r) decaying asymptotically as r−α. We study the dependence of the localization length exponent ν on the correlation strength exponent α. For fixed disorder W, there is a critical αc, such that for α < αc, ν = 2/α and for α > αc, ν remains that of the uncorrelated system in accordance with the extended Harris criterion. At the band center, ν is independent of α but equal to that of the uncorrelated system. The physical mechanisms leading to this different behavior are discussed.