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
- 10Citations
- 1Captures
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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.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=0542369724&origin=inward; http://dx.doi.org/10.1007/bf01026590; http://link.springer.com/10.1007/BF01026590; http://link.springer.com/content/pdf/10.1007/BF01026590; http://link.springer.com/content/pdf/10.1007/BF01026590.pdf; http://link.springer.com/article/10.1007/BF01026590/fulltext.html; http://www.springerlink.com/index/10.1007/BF01026590; http://www.springerlink.com/index/pdf/10.1007/BF01026590; https://dx.doi.org/10.1007/bf01026590; https://link.springer.com/article/10.1007/BF01026590
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