Probability distribution of the conductance in anisotropic systems - art. no. 193103

We investigate the probability distribution p(g) of the conductance g in an isotropic two-dimensional systems. The scaling procedure applicable to mapp ing the conductance distributions of localized anisotropic systems to the c orresponding isotropic one can be extended to systems at the critical point of the metal-to-insulator transition. Instead of the squares used for isot ropic systems, one should use rectangles for the anisotropic ones. At the c ritical point, the ratio of the side lengths must be equal to the square ro ot of the ratio of the critical values of the quasi-one-dimensional scaling functions. For localized systems, the ratio of the side lengths must be eq ual to the ratio of the localization lengths.