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Correlated effective field approximation for the dilute Ising ferromagnet

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  • Taggart, G.Bruce

Abstract

A randomly dilute Ising ferromagnet is investigated using a correlated effective field approximation. This approximation explicitly takes into account the pair correlation function between neighboring magnetic atoms. The lattice sites are assumed to be randomly occupied by magnetic and non-magnetic atoms, i.e., there is no chemical short range order. In the zero temperature and zero magnetization limit we obtain estimates for pc, the critical concentration for site percolation. These estimates differ by 2–30% from the results obtained by exact solution and series techniques. The comparable variation for the Bethe approximation is 22–150%. We also obtain values for the nearest neighbor pair correlation function at the percolation threshold.

Suggested Citation

  • Taggart, G.Bruce, 1982. "Correlated effective field approximation for the dilute Ising ferromagnet," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 116(1), pages 34-44.
    • Handle: RePEc:eee:phsmap:v:116:y:1982:i:1:p:34-44
    DOI: 10.1016/0378-4371(82)90229-1
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    References listed on IDEAS

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    1. Den Nijs, M.P.M., 1979. "The Kadanoff lowerbound renormalization transformation for the q-state Potts model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 95(3), pages 449-472.
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