Level-statistics in Disordered Systems: A single parametric scaling and Connection to Brownian Ensembles

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Shukla, Pragya;
(2004)

We find that the statistics of levels undergoing metal-insulator transition in systems with multi-parametric Gaussian disorders and non-interacting electrons behaves in a way similar to that of the single parametric Brownian ensembles \cite{dy}. The latter appear during... View more
  • References (38)
    38 references, page 1 of 4

    [1] F.Dyson, J. Math. Phys. 3, 1191 (1962).

    [2] P.Shukla, Phys. Rev. E 62, 2098, (2000);

    [3] M.L.Mehta, Random Matrices, Academic Press, (1991); A.Altland and M.R.Zirnbauer, Phys. Rev. B 55, 11421161 (1997).

    [4] A.Pandey, Chaos, Solitons and Fractals, 5, (1995).

    [5] P.Shukla, Phys. Rev. E, 71, 026226, 2005; cond-mat./0401129.

    [6] A.D.Mirlin, Y.V.Fyodorov, F.-M. Dittes, J. Quezada and T.H.Seligman, Phys.Rev.E, 54, 3221, (1996).

    [7] B.I.Shklovskii, B.Shapiro, B.R.Sears, P.Lambrianides and H.B.Shore, Phys. Rev. B, 47, 11487 (1993).

    [8] A.G.Aronov and A.D.Mirlin, Phys. Rev. B, 51, 6131, (1995).

    [9] B.Shapiro, Int.J.Mod.Phys. B, 10, 3539, (1996).

    [10] E.Hofstetter and M.Schreiber, Phys. Rev. B, 49, 14726, (1994).

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