DISTRIBUTION OF LOCAL-DENSITIES OF STATES, ORDER-PARAMETER FUNCTION, AND CRITICAL-BEHAVIOR NEAR THE ANDERSON TRANSITION

The exact relations between the order parameter function of the Anders on transition and the distributions of local densities of states (LDOS ) and eigenfunction amplitudes are derived. It is shown that the non-p ower-like critical behavior obtained previously in the framework of Be the lattice (BL) models and effective medium approximation is an artif act of the BL structure and is inconsistent with d-dimensional spatial structure at any d < infinity. The critical behavior at finite d is p ower-like with d = infinity playing the role of an upper critical dime nsion. Near the transition point, the distribution function of LDOS is very broad and asymmetric.