Effective-field theory of spin glasses and the coherent-anomaly method. I |
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Authors: | Naomichi Hatano Masuo Suzuki |
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Institution: | (1) Department of Physics, Faculty of Science, University of Tokyo, 113 Tokyo, Japan |
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Abstract: | 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
s
=5.2(1) forT
SG=0, which agrees well with the data by some other authors. As for the threedimensional±J model, the present tentative analysis givesT
SG=1.2(1)(J/k
B) and
s
=4(1), but more extensive calculations are needed. |
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Keywords: | Effective-field theory spin-glass transition coherent-anomaly method nonclassical critical exponent' ± J model |
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