Distribution of Conductance Using Anderson Model of Disordered Conductors and Its Characteristics

Abstract

We have studied the distribution of conductance using disordered conductors. We have utilized random matrix model as a function of disorder across the Anderson transition. This produced the analytical framework for quantum phase transition having order parameter function. We have constructed the distribution from its moments and obtained joint probability distribution of transmission levels having the conductance as linear statistics. It was used to obtain the high symmetry in the crossover region in quasi one dimensional system. This was prevented for the gain. We have considered Wigner-Dyson interaction formation. We have found that eigen vectors of transmission matrices in quasi one dimensional were isotropically distributed at all disorder and joint probability distribution allowed a crossover from met al.lic to insulating regions.