Distribution functions of current density and local density of states in disordered quantum conductors

Abstract

The distribution function of nonuniversal current density fluctuations in the ensemble of disordered conductors is calculated using the results of renormalization group analysis of the extended nonlinear σ model. It is shown that there exists a crossover from the close-to-gaussian distribution with the logarithmically normal (LN) asymptotics in the region of weak localization to the completely LN distribution in the region where quantum corrections to conductivity become essential. A similar crossover is found in the distribution function of fluctuations of the local density of states.