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Critical behavior and phase diagrams of a spin-1 Blume–Capel model with random crystal field interactions: An effective field theory analysis

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  • Yüksel, Yusuf
  • Akıncı, Ümit
  • Polat, Hamza

Abstract

A spin-1 Blume–Capel model with dilute and random crystal fields is examined for honeycomb and square lattices by introducing an effective-field approximation that takes into account the correlations between different spins that emerge when expanding the identities. For dilute crystal fields, we have given a detailed exploration of the global phase diagrams of the system in kBTc/J−D/J plane with the second and first order transitions, as well as tricritical points. We have also investigated the effect of the random crystal field distribution characterized by two crystal field parameters D/J and △/J on the phase diagrams of the system. The system exhibits clear distinctions in a qualitative manner with coordination number q for random crystal fields with △/J,D/J≠0. We have also found that, under certain conditions, the system may exhibit a number of interesting and unusual phenomena, such as reentrant behavior of first and second order, as well as a double reentrance with three successive phase transitions.

Suggested Citation

  • Yüksel, Yusuf & Akıncı, Ümit & Polat, Hamza, 2012. "Critical behavior and phase diagrams of a spin-1 Blume–Capel model with random crystal field interactions: An effective field theory analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(9), pages 2819-2832.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:9:p:2819-2832
    DOI: 10.1016/j.physa.2011.12.060
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    Cited by:

    1. Bezerra, E.C. & Gomes da Silva, M. & de Sousa, J. Ricardo, 2023. "First-order transition of the spin-1 Blume–Capel model with random anisotropy using effective-field theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).
    2. 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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