Localization in a random array of atoms

Abstract

The localization of a non-interacting electrons is studied for systems in which the atomic sites are taken to be completely randomly distributed in space. The method used is based on weak-scattering arguments in tight-binding s and p bands in which the product of wavevector k and mean free path L is calculated. The criterion for the onset of localization is taken as the limit kL equals unity and estimates of the densities at which all states are localized are made for a particular model. The results are compared with Kikuchi's numerical calculations.