The Blume–Capel model in a square lattice with Jx=−Jy interactions in an external field

Alejandra I. Guerrero and Daniel A. Stariolo

Physica A: Statistical Mechanics and its Applications, 2019, vol. 532, issue C

Abstract: We studied the Jx-Jy Blume–Capel model in an external field with Jx=−Jy using the Bethe Approximation of the Cluster Variation Method. At zero field the phase diagram is equivalent to the phase diagram of the classical Blume–Capel model with ferromagnetic interactions, in which the ferromagnetic phase is replaced by a superantiferromagnetic one. When a magnetic field is applied, we observe a mixed phase intermediate between the superantiferromagnetic and the paramagnetic phases. Depending on the values of the single-spin anisotropy parameter we find first and second order phase transitions and tricritical points.

Keywords: Jx-Jy Blume–Capel model; Superantiferromagnetic phase; Cluster Variation Method; Reentrant behaviour (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:532:y:2019:i:c:s0378437119310854

DOI: 10.1016/j.physa.2019.121839

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