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

IV Lerner - Physics Letters A, 1988 - Elsevier
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 …
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