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Probability distribution of the conductance at the mobility edge

Peter Markos
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Abstract

Distribution of the conductance P(g) at the critical point of the metal-insulator transition is presented for three and four dimensional orthogonal systems. The form of the distribution is discussed. Dimension dependence of P(g) is proven. The limiting cases $g\to\infty$ and $g\to 0$ are discussed in detail and relation $P(g)\to 0$ in the limit $g\to 0$ is proven.

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Peter Markos. 1999-01-26. Probability distribution of the conductance at the mobility edge. https://doi.org/10.1103/physrevlett.83.588

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