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Effective-field theory of spin glasses and the coherent-anomaly method. I

Journal of Statistical Physics, ISSN: 0022-4715, Vol: 63, Issue: 1-2, Page: 25-46
1991
  • 10
    Citations
  • 0
    Usage
  • 1
    Captures
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Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    10
    • Citation Indexes
      10
  • Captures
    1

Article Description

A new cluster-effective-field theory of spin glasses is formulated. Basic formulas for the spin-glass transition point and the spin-glass susceptibility in the high-temperature phase are obtained. The present theory combined with the coherent-anomaly method is shown to be useful to estimate the true critical point and the nonclassical critical exponent of a spin-glass transition. Concerning the two-dimensional ±J model, we have γ=5.2(1) for T=0, which agrees well with the data by some other authors. As for the threedimensional±J model, the present tentative analysis gives T=1.2(1)(J/k) and γ=4(1), but more extensive calculations are needed. © 1991 Plenum Publishing Corporation.

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