Prog. Theor. Phys. Vol. 58 No. 1 (1977) pp. 391-393

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Renormalization-Group Transformation of a Three-Dimensional Ising Model

Department of Chemistry, Faculty of Science, Kyoto University, Kyoto 606

(Received May 4, 1977)

URL : http://ptp.ipap.jp/link?PTP/58/391/
DOI : 10.1143/PTP.58.391

Th. Niemeijer and J. M. J. van Leeuwen, Phys. Rev. Lett. 31 (1973), 1411[APS]; Physica 71 (1974), 17[CrossRef].
For a general reivew, see in “Phase Transitions and Critical Phenomena”, edited by C. Domb and M. S. Green (Academic Press, New York, 1976), Vol. 6, and further references cited therein.
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J. N. Fields and M. B. Fogel, Physica A 80 (1975), 411[CrossRef].
A. N. Berker, Phys. Rev. B 12 (1975), 2752[APS].
T. Tatsumi and K. Kawasaki, Prog. Theor. Phys. 55 (1976), 612[PTP]
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C. Domb, in Phase Transitions and Critical Phenomena, edited by C. Domb and M. S. Green (Academic Press, New York, 1974) Vol. 3;
we use the values α = 1/8 and δ = 5 to evaluate λ_T with 2-α = ln8/lnλ_T and λ_h with 1/δ = ln8/lnλ_h-1.
J. Oitmaa and M. N. Barker, Physica B+C 86-88 (1977), 621[CrossRef].
When I completed the present work, I was unaware of the work of Oitmaa and Barker, which treats a S. C. lattice by the same RGT as in this letter up to second order and with the two-cell approximations. But their recursion equations in second order are wrong by the factor 2 for the coefficient of K² in \tildeL and \tildeM.

Progress of Theoretical Physics Vol. 59 No. 3 (1978) pp. 714-724 :
Renormalization-Group Transformation of Three-Dimensional Ising Models

Takeshi Tatsumi