The probability distribution of the conductance in anisotropic systems

Details The probability distribution of the conductance in anisotropic systems The probability distribution of the conductance in anisotropic systems

2001-03-28

arxiv.org/abs/cond-mat/0103594v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 3 figures

Scientific paper

10.1103/PhysRevB.64.193103

We investigate the probability distribution $p(g)$ of the conductance $g$ in anisotropic two-dimensional systems. The scaling procedure applicable to mapping the conductance distributions of localized anisotropic systems to the corresponding isotropic one can be extended to systems at the critical point of the metal-to-insulator transition. Instead of the squares used for isotropic systems, one should use rectangles for the anisotropic ones. At the critical point, the ratio of the side lengths must be equal to the squre root 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 equal to the ratio of the localization lengths.

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