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First-order transition of the spin-1 Blume–Capel model with random anisotropy using effective-field theory

Author

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  • Bezerra, E.C.
  • Gomes da Silva, M.
  • de Sousa, J. Ricardo

Abstract

The spin-1 Blume–Capel model with a random crystal field on a square lattice is studied by using an effective-field theory with correlation. We go beyond the standard formalism and analyze the first-order phase transitions using the free energy functional deduced from the equation of state. The complete phase diagram is constructed in the temperature and single-ion anisotropy amplitude plane. The first-order transition line is obtained by comparison between free energies. Our results predict first-order transition at low temperature and large anisotropy strengths.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:615:y:2023:i:c:s0378437123000651
    DOI: 10.1016/j.physa.2023.128510
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    References listed on IDEAS

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    1. Albayrak, Erhan, 2011. "The spin-1 Blume–Capel model with random crystal field on the Bethe lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(9), pages 1529-1533.
    2. 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.
    3. Borelli, M.E.S. & Carneiro, C.E.I., 1996. "Global mean-field phase diagram of the spin-1 Ising ferromagnet in a random crystal field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 230(1), pages 249-256.
    4. Lara, D.Peña & Plascak, J.A., 1998. "General spin Ising model with diluted and random crystal field in the pair approximation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 260(3), pages 443-454.
    5. Borges, H.E. & Silva, P.R., 1987. "Thermodynamical properties of the random field Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 144(2), pages 561-573.
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