Conductivity of inhomogeneous materials: Effective-medium theory with dipole-dipole interaction

C. G. Granqvist and O. Hunderi
Phys. Rev. B 18, 1554 – Published 15 August 1978
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Abstract

We extend the old effective-medium theory, originally due to Bruggeman, by incorporating dipole-dipole interactions to account for local-field effects. The interactions are represented approximately by use of effective depolarization factors. For close-packed clusters of conducting regions, a description which is appropriate at the percolation threshold, we predict an onset of percolation processes when 15.6 vol% is conducting. This is in very good agreement with numerical simulations as well as with experimental data for the metal-insulator transitions in metal-ammonia solutions and in alkali-tungsten bronzes.

  • Received 29 November 1976

DOI:https://doi.org/10.1103/PhysRevB.18.1554

©1978 American Physical Society

Authors & Affiliations

C. G. Granqvist

  • Physics Department, Chalmers University of Technology, Fack, S-402 20 Gothenburg, Sweden

O. Hunderi

  • Department of Physical Metallurgy, Norwegian Institute of Technology, 7034 Trondheim-NTH, Norway

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Vol. 18, Iss. 4 — 15 August 1978

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