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