Probability distribution of the conductance at the mobility edge

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.

4 pages, 3 .eps figures

References in corpus (3)

• The Anderson transition: time reversal symmetry and universality
• Asymptotics of Universal Probability of Neighboring Level Spacings at the Anderson Transition
• What is the right form of the probability distribution of the conductance at the mobility edge?

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