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

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

2001-04-20

arxiv.org/abs/cond-mat/0104394v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages REVTeX, 5 figures and 2 tables included

Scientific paper

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 $(g-1)^2$.

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