TY - JOUR

T1 - Magnetoresistance of three-constituent composites

T2 - Percolation near a critical line

AU - Bergman, David J.

AU - Barabash, Sergey V.

AU - Stroud, D.

PY - 2001

Y1 - 2001

N2 - Scaling theory, duality symmetry, and numerical simulations of a random network model are used to study the magnetoresistance of a metal/insulator/perfect conductor composite with a disordered columnar microstructure. The phase diagram is found to have a critical line which separates regions of saturating and nonsaturating magnetoresistance. The percolation problem which describes this line is a generalization of anisotropic percolation. We locate the percolation threshold and determine the values of the critical exponents (formula presented) (formula presented) which are the same as in two-constituent two-dimensional isotropic percolation. We also determine the exponents which characterize the critical dependence on magnetic field, and confirm numerically that (formula presented) is independent of anisotropy. We propose and test a complete scaling description of the magnetoresistance in the vicinity of the critical line.

AB - Scaling theory, duality symmetry, and numerical simulations of a random network model are used to study the magnetoresistance of a metal/insulator/perfect conductor composite with a disordered columnar microstructure. The phase diagram is found to have a critical line which separates regions of saturating and nonsaturating magnetoresistance. The percolation problem which describes this line is a generalization of anisotropic percolation. We locate the percolation threshold and determine the values of the critical exponents (formula presented) (formula presented) which are the same as in two-constituent two-dimensional isotropic percolation. We also determine the exponents which characterize the critical dependence on magnetic field, and confirm numerically that (formula presented) is independent of anisotropy. We propose and test a complete scaling description of the magnetoresistance in the vicinity of the critical line.

UR - http://www.scopus.com/inward/record.url?scp=85038909441&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.64.174419

DO - 10.1103/PhysRevB.64.174419

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AN - SCOPUS:85038909441

SN - 1098-0121

VL - 64

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 17

ER -