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

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

Physica A: Statistical Mechanics and its Applications, 2023, vol. 615, issue C

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.

Keywords: Effective field theory; Blume–Capel model; Random anisotropy; Free energy functional (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:615:y:2023:i:c:s0378437123000651

DOI: 10.1016/j.physa.2023.128510

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