Theory of high-field magnetotransport in a percolating medium

Andrey K. Sarychev*, David J. Bergman, Yakov M. Strelniker

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The critical behavior of magnetotransport in a percolating medium in the presence of a magnetic field H of arbitrary strength is discussed. A discrete network model is used to solve the problem exactly for a three-dimensional Sierpinski-gasket fractal, and to perform a direct Monte Carlo simulation of a percolating medium. A very efficient algorithm is used to calculate transport properties in the vicinity of the percolation threshold. We find that there is strong magnetoresistance near the percolation threshold. We also find a different scaling behavior of the effective Ohmic resistivity ρ(e)(p,H) and Hall coefficient RH(e)(p,H) as functions of the concentration p and magnetic field H. This scaling is due to the appearance of a field-dependent length-the magnetic correlation length ξH. In a percolating metal-insulator mixture, the resistivity ratio with and without a field ρ(e)(p,H)/ρ(e)(p,0) is predicted to saturate as p→pc at a value that is proportional to H3.1.

Original languageEnglish
Pages (from-to)3145-3155
Number of pages11
JournalPhysical Review B-Condensed Matter
Issue number5
StatePublished - 1993


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