Resistance fluctuation at the mobility edge

Kumar, N. ; Jayannavar, A. M. (1986) Resistance fluctuation at the mobility edge Journal of Physics C: Solid State Physics, 19 (4). L85-L89. ISSN 0022-3719

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Official URL: http://iopscience.iop.org/0022-3719/19/4/005

Related URL: http://dx.doi.org/10.1088/0022-3719/19/4/005

Abstract

Following a Migdal-Kadanoff-type bond moving procedure, the authors derive the renormalisation-group equations for the characteristic function of the full probability distribution of resistance (conductance) of a three-dimensional disordered system. The resulting recursion relations for the first two cumulants, κ1 the mean resistance and κ2, the mean-square deviation of resistance exhibit a mobility edge dominated by large dispersion, i.e. κ2½ /κ1 ≈ 1, suggesting inadequacy of the one-parameter scaling ansatz.

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Deposited On:12 Nov 2010 13:32
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