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High field magneto-transport in a Sierpiński gasket fractal

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  • Bergman, David J.
  • Sarychev, Audrey K.

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.

Suggested Citation

  • Bergman, David J. & Sarychev, Audrey K., 1992. "High field magneto-transport in a Sierpiński gasket fractal," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 470-474.
    • Handle: RePEc:eee:phsmap:v:191:y:1992:i:1:p:470-474
    DOI: 10.1016/0378-4371(92)90570-G
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    1. Bergman, David J. & Sarychev, Andrey K., 1993. "High-field vs. low-field magneto-transport in a percolating medium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 200(1), pages 231-240.

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