Conductance distributions in correlated disordered metals

Abstract

Conductance is a vital ingredient for understanding electronic transport in disordered systems. In this paper, we report numerical computations of the logarithmic conductance distribution based on the Landauer technique of a one-dimensional noninteracting power-law correlated Anderson model. In particular, we investigate the role of disorder correlations in diagonal potential on the conductance distribution function at the center of the band. The distribution reveals a clear signature of the delocalization phase transition, triggered by the internal correlations in the disordered distribution in the correlated disordered model. For localized states, the probability distribution function is Gaussian, while for extended states, it is lognormal. Furthermore, the system exhibits universal logarithmic conductance fluctuations in the insulating regime and tends to diverge at the delocalization transition in the thermodynamic limit.