Conductivity anisotropy and the Hall effect in inhomogeneous conductors near the percolation threshold

J. P. Straley

Research output: Contribution to journalArticlepeer-review

34 Scopus citations

Abstract

Near the percolation threshold the off-diagonal elements of the conductivity tensor (which describe the conductivity anisotropy and the Hall effect) vanish faster than the conductivity itself. The Cayley tree model is generalised to describe this effect, and the exponents which characterise the various anisotropies are found. The results disagree with the high-dimensionality limits of the various exponent relationships that have been previously proposed by Shklovskii (1978) and by Levinshtein et al. (1976). The special case of the Hall effect in two dimensions is also discussed.

Original languageEnglish
Article number019
Pages (from-to)4335-4345
Number of pages11
JournalJournal of Physics C: Solid State Physics
Volume13
Issue number23
DOIs
StatePublished - 1980

ASJC Scopus subject areas

  • Condensed Matter Physics
  • General Engineering
  • General Physics and Astronomy

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