Symmetry, dimension and the distribution of the conductance at the mobility edge

Abstract

The probability distribution of the conductance at the mobility edge, $p_c(g)$, in different universality classes and dimensions is investigated numerically for a variety of random systems. It is shown that $p_c(g)$ is universal for systems of given symmetry, dimensionality, and boundary conditions. An analytical form of $p_c(g)$ for small values of $g$ is discussed and agreement with numerical data is observed. For $g>1$, $\ln p_c(g)$ is proportional to $(g-1)$ rather than $(g-1{)}^2$.

4 pages REVTeX, 5 figures and 2 tables included

References in corpus (1)

• Numerical verification of universality for the Anderson transition

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