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

David J. Bergman and Andrey K. Sarychev

Physica A: Statistical Mechanics and its Applications, 1993, vol. 200, issue 1, 231-240

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.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:200:y:1993:i:1:p:231-240

DOI: 10.1016/0378-4371(93)90521-5

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