TY - JOUR

T1 - Theory of high-field magnetotransport in a percolating medium

AU - Sarychev, Andrey K.

AU - Bergman, David J.

AU - Strelniker, Yakov M.

PY - 1993

Y1 - 1993

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0001199163&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.48.3145

DO - 10.1103/PhysRevB.48.3145

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AN - SCOPUS:0001199163

SN - 0163-1829

VL - 48

SP - 3145

EP - 3155

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

IS - 5

ER -