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Critical behavior of Hall conductivity and magnetoconductivity near the percolation threshold in granular Sn:Ar mixtures

M. Rohde and H. Micklitz

Physica A: Statistical Mechanics and its Applications, 1989, vol. 157, issue 1, 120-124

Abstract: We have measured the Hall conductivity and the magnetoconductivity on the metallic side of the metal insulator transition (MIT) in a three dimensional (3D) percolating system, namely the metal rare gas mixture Sn:Ar. The Hall constant RH diverges as RH ∝ (ν − νc)−g with the critical volume fraction νc = 0.26 ± 0.01 and the critical exponent g = 0.49 ± 0.07. The magnetoconductivity Δσ scales as −Δσ ∝ (ν − νc)t′ with critical exponent t′ = 1.9 ± 0.15, which is slightly larger than the conductivity exponent t = 1.6 ± 0.1. The experimental value of g agrees quite well with the value obtained by Monte Carlo simulation, whereas the observed difference between t and t′ is in contradiction to theory.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:157:y:1989:i:1:p:120-124

DOI: 10.1016/0378-4371(89)90285-9

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