Conductance fluctuations in the localized regime

الأصل · EN

We have studied numerically the fluctuations of the conductance, g, in two-dimensional, three-dimensional and four-dimensional disordered non-interacting systems. We have checked that the variance of g varies with the lateral sample size as L²/⁵ in three-dimensional systems, and as a logarithm in four-dimensional systems. The precise knowledge of the dependence of this variance with system size allows us to test the single-parameter scaling hypothesis in three-dimensional systems. We have also calculated the third cumulant of the distribution of g in two- and three-dimensional systems, and have found that in both cases it diverges with the exponent of the variance times 3/2, remaining relevant in the large size limit.