High field magneto-transport in a Sierpiński gasket fractal

David J. Bergman, Audrey K. Sarychev

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)470-474
Number of pages5
JournalPhysica A: Statistical Mechanics and its Applications
Volume191
Issue number1-4
DOIs
StatePublished - 15 Dec 1992

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