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High-field vs. low-field magneto-transport in a percolating medium

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

Abstract

Recent theoretical and numerical work on high-field magneto-transport in a percolating medium is described and compared to earlier work on weak-field magneto-transport in such systems. While the weak-field behavior is well described by the simple nodes-links picture, which ignores blobs and loops on a scale smaller than the percolation correlation length ξp, the strong-field behavior is extremely sensitive to those features. The critical behavior at strong magnetic fields H near the percolation threshold is governed by competition between the usual H=0 fixed point and a new H=∞ fixed point. Which of those fixed points dominates the behavior is determined by the relative sizes of two characteristic lenghts: the percolation correlation length ξp and a new, magnetic field dependent length ξH.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:200:y:1993:i:1:p:231-240
    DOI: 10.1016/0378-4371(93)90521-5
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    References listed on IDEAS

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    1. 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.
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