Scaling of Level Statistics at the Metal—Insulator Transition

Abstract

Using the Anderson model for disordered systems the fluctuations in electron spectra near the metal—insulator transition were numerically calculated for lattices of sizes up to 28 × 28 × 28 sites. The results show a finite—size scaling of both the level spacing distribution and the variance of number of states in a given energy interval, that allows to locate the critical point and to determine the critical exponent of the localization length.