On Local Density of States in Anderson Localized Systems

The ensemble average of local densities of states defined by g 2 ( ε 1 , ε 2 )=≪ρ( ε 1 , r )ρ( ε 2 , 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 g 2 ( ε 1 → ε 2 ) is non zero even if the states around ε 2 are localized.