The general-spin Blume–Capel model: A study of the multicritical behavior using effective-field theory

Emanuel Costabile, J. Roberto Viana, J. Ricardo de Sousa and J.A. Plascak

Physica A: Statistical Mechanics and its Applications, 2014, vol. 393, issue C, 297-303

Abstract: The general-spin Blume–Capel model is studied by using an effective-field theory with correlation. An expression for the free energy within the effective-field theory is proposed, and the complete phase diagram is constructed in the temperature and single-ion anisotropy plane. The first-order transition lines are obtained by Maxwell construction (comparison between free energies). Beyond first-order transitions at low temperatures, the results show second-order transitions and tricritical points, as well as a variety of double critical endpoints. The existence of the tricritical point and the number of critical endpoints strongly depend on the value of the spin.

Keywords: Blume Capel model; Multicritical points; Effective-field theory; Landau free energy; Phase diagram (search for similar items in EconPapers)
Date: 2014
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:393:y:2014:i:c:p:297-303

DOI: 10.1016/j.physa.2013.09.003

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