Probability distribution of the conductance at the mobility edge

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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4 pages, 3 .eps figures

Scientific paper

10.1103/PhysRevLett.83.588

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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