A study of localization in a model superlattice with 3-dimensional disorder distribution

Abstract

We study a microscopic model for a disordered superlattice system, which simulates the effect of intrinsic alloy fluctuation on localization in alloy superlattices. Numerical investigation of scaling behavior of the localization length shows that excitations along and perpendicular to the super lattice axis undergo a localization transition at a nonzero critical disorder. Therefore, we contend that for localization, the alloy superlattices should be viewed as a S-dimensional anisotropic material. At the transition, the localization length diverges with critical exponent nu = 1.2 +/- 0.2. We expect that the model belongs to the same universality class as the 3 dimensional isotropic Anderson model.