Abstract
Using the finite-size scaling renormalization group, we obtain the two-dimensional flow diagram of the Blume-Capel model forS=1 andS=3/2. In the first case our results are similar to those of mean-field theory, which predicts the existence of first- and second-order transitions with a tricritical point. In the second case, however, our results are different. While we obtain in theS=1 case a phase diagram presenting a multicritical point, the mean-field approach predicts only a second-order transition and a critical endpoint.
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Communicated by D. Stauffer
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Moss de Oliveira, S., de Oliveira, P.M.C. & de Sá Barreto, F.C. The spin-S Blume-Capel RG flow diagram. J Stat Phys 78, 1619–1627 (1995). https://doi.org/10.1007/BF02180146
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DOI: https://doi.org/10.1007/BF02180146