High field magneto-transport in a Sierpiński gasket fractal

David J. Bergman and Audrey K. Sarychev

Physica A: Statistical Mechanics and its Applications, 1992, vol. 191, issue 1, 470-474

Abstract: The critical behavior of magneto-transport 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 Sierpiński gasket fractal. We find that there is strong magneto-resistance in this model. We also find a new scaling behavior of the effective ohmic resistivity ρ(e)(L, H) as function of the size L of the fractal and magnetic field H. 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 at the percolation threshold p→pc at a value ∼ H0.415.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:191:y:1992:i:1:p:470-474

DOI: 10.1016/0378-4371(92)90570-G

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