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Study of the Blume-Emery-Griffiths model on the triangular lattice by the cluster-variation method

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  • Grigelionis, Gintautas
  • Rosengren, Anders

Abstract

The cluster-variation method (CVM) is used to investigate the phase diagram of the Blume-Emery-Griffiths (BEG) model on the triangular lattice. New topologies of the phase diagrams for K|J| < -1 including three antiquadrupolar phases (in the ferromagnetic case; J> 0) and antiquadrupolar and ferrimagnetic phases (in the antiferromagnetic case; J < 0) are obtained. No previously reported reentrant phenomenon is found. Good accuracy of CVM is confirmed in comparison with the results of the analytic and Monte Carlo calculations.

Suggested Citation

  • Grigelionis, Gintautas & Rosengren, Anders, 1994. "Study of the Blume-Emery-Griffiths model on the triangular lattice by the cluster-variation method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 208(2), pages 287-299.
    • Handle: RePEc:eee:phsmap:v:208:y:1994:i:2:p:287-299
    DOI: 10.1016/0378-4371(94)00051-4
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    1. Bakchich, A. & Benyoussef, A. & Touzani, M., 1992. "Phase diagrams of the Blume-Emery-Griffiths model: real-space renormalization group investigation and finite size scaling analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 186(3), pages 524-533.
    2. Griffiths, Mary, 1977. "Nutrition : Second European nutrition conference, Munich, 14-17 September 1976," Food Policy, Elsevier, vol. 2(1), pages 76-77, February.
    3. Evangelista, D.L., 1992. "Management of mangrove areas in Calauag Bay, Quezon Province, Philippines," Naga, The WorldFish Center, vol. 15(2), pages 48-49.
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