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New topologies in the phase diagram of the semi-infinite Blume-Capel model

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  • Buzano, Carla
  • Pelizzola, Alessandro

Abstract

The phase diagram of the Blume-Capel model on a semi-infinite simple cubic lattice with a (100) free surface is studied in the pair approximation of the cluster variation method. Six main topologies are found, of which two are new, due to the occurrence of a first-order surface transition in the phase with ordered bulk, separating two phases with large and small surface order parameters. The latter is a new phase and is studied in some detail, giving the behaviour of the order parameter profiles in two typical cases. A comparison is made with the results of a low temperature expansion, where these are available, showing a great increase in accuracy with respect to the mean field approximation.

Suggested Citation

  • Buzano, Carla & Pelizzola, Alessandro, 1995. "New topologies in the phase diagram of the semi-infinite Blume-Capel model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 216(1), pages 158-168.
    • Handle: RePEc:eee:phsmap:v:216:y:1995:i:1:p:158-168
    DOI: 10.1016/0378-4371(95)00058-F
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    1. Buzano, Carla & Pelizzola, Alessandro, 1993. "Surface reentrance in the semi-infinite spin-1 Ising models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 195(1), pages 197-214.
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    Cited by:

    1. 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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