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Mean field renormalization group analysis of the Blume-Capel model

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  • De Alcantara Bonfim, O.F.

Abstract

The critical properties of the d-dimensional Blume-Capel model is studied by using the mean field renormalization group method. The phase diagram and tricritical behaviour of the square lattice and various three-dimensional lattices have been analysed. Results are compared with those of high-temperature series expansion and variational methods.

Suggested Citation

  • De Alcantara Bonfim, O.F., 1985. "Mean field renormalization group analysis of the Blume-Capel model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 130(1), pages 367-373.
    • Handle: RePEc:eee:phsmap:v:130:y:1985:i:1:p:367-373
    DOI: 10.1016/0378-4371(85)90112-8
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    References listed on IDEAS

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    1. Knops, H.J.F., 1977. "On Kadanoff's approximate renormalization group transformation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 86(2), pages 448-456.
    2. De'bell, K. & Betts, D.D., 1983. "Critical point estimates for the spin s Ising model from the high temperature series renormalisation group method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 119(1), pages 78-82.
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    Cited by:

    1. Kaneyoshi, T. & Sarmento, E.F., 1988. "The application of the differential operator method to the Blume-Emery-Griffiths model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 152(3), pages 343-358.
    2. Verona de Resende, H.F. & SáBarreto, F.C. & Plascak, J.A., 1988. "Renormalization group treatment of the mixed-spin system in d-dimensional lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 149(3), pages 606-612.
    3. Chen, Shyh-Tzer, 1996. "Mean-field renormalization group for the q-state clock spin-glass model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 229(2), pages 181-187.
    4. Kaneyoshi, T., 1990. "Correlated-effective-field treatment of spin-one ising models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 164(3), pages 730-750.
    5. Rocha-Neto, Mário J.G. & Camelo-Neto, G. & Nogueira Jr., E. & Coutinho, S., 2018. "The Blume–Capel model on hierarchical lattices: Exact local properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 559-573.

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