Abstract The phase transitions in the Blume-Emery-Griffiths (BEG) model and antiferromagnetic Potts model on the diamond lattice are investigated using the cluster-variation method in the pair approximation. The ferrimagnetic phases are found to be different from those on the simple-cubic lattice. The phase diagrams of the BEG model are also calculated. In the vicinity of the parameter line where the BEG model reduces to the three-state antiferromagnetic Potts model, new types of phase diagram are obtained. The results are different from those of the mean-field theory, which is a good approximation only for large coordination number of the lattice.
Received: 03 June 1999
Revised: 24 January 2000
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 19804007).
Cite this article:
Ni Jun (倪军), Gu Bing-lin (顾秉林) FERRIMAGNETIC PHASES OF THE BLUME-EMERY-GRIFFITHS MODEL AND THE POTTS MODEL ON THE DIAMOND LATTICE 2000 Chinese Physics 9 469
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