Resistance fluctuation at the mobility edge
- 10 February 1986
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 19 (4) , L85-L89
- https://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. κ21/2/κ1 1, suggesting inadequacy of the one-parameter scaling ansatz.Keywords
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