The spin-S Blume-Capel RG flow diagram |
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Authors: | S Moss de Oliveira P M C de Oliveira F C de Sá Barreto |
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Institution: | (1) Institute of Physics, Fluminense Federal University, 24001-970 Niterói, RJ, Brazil;(2) Departamento de Física ICEX, Universidade Federal de Minas Gerais, 30161-970 Belo Horizonte, MG, Brazil |
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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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Keywords: | Renormalization group finite-size scaling multicritical points |
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