Critical behavior of the Hall effect near the percolation threshold using a new network model

Edgardo Duering*, David J. Bergman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Electrical properties of metal-insulator composites are described by power law behavior when the concentration of metal p approaches the percolation threshold pc. The conductivity σ, the Hall conductivity λ, and the Hall coefficient R satisfy σ ∼(p - pc)t, λ ∼(p - pc)τ, R ∼(p - pc)-g. We develop a new three dimensional random resistor network model to obtain τ and g in which the nodes of the percolating backbone are the crucial elements producing the Hall effect. Finite size scaling ideas were applied near the effective percolation threshold pc(L), where L is the linear dimension of the system. We obtain g = 0.49 ± 0.06, τ = 3.56 ± 0.06 and t = 2.02 ± 0.06.

Original languageEnglish
Pages (from-to)125-129
Number of pages5
JournalPhysica A: Statistical Mechanics and its Applications
Volume157
Issue number1
DOIs
StatePublished - 1 May 1989

Funding

FundersFunder number
Center of Absorption in Science
U.S.-Israel Binational Science Foundation354/85a

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