On Local Density of States in Anderson Localized Systems

Abstract

The ensemble average of local densities of states defined by g₂(ε₁, ε₂)=<<ρ(ε₁, r)ρ(ε₂, r)>> is theoretically investigated, where ρ(ε, r) is the local density of states of disordered systems. It is shown by using the self-consistent theory due to Vollhardt and Wölfle and a physical picture of localization due to Mott, which includes the effect of “level repulsion”, that g₂(ε₁→ε₂) is non zero even if the states around ε₂ are localized.