Monte Carlo simulations of the Blume–Emery–Griffiths model with S=3/2 and S=5/2

Iwashita, Takashi; Arai, Hisanori; Ito, Yohko; Muraoka, Yuki

doi:10.1016/j.jmmm.2012.07.026

Cited by 6 publications

(2 citation statements)

References 19 publications

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“…We consider it of interest to perform an independent study of the model in the presence of an external field, based on Monte Carlo simulations, to compare with the mean field results. Monte Carlo simulations are particularly well suited to study these mixed Ising systems and in general their results are more reliable than those obtained by mean field theories . The remainder of the paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

Effects of an external magnetic field on a mixed spin-3/2 and spin-5/2 Ising ferrimagnet: A Monte Carlo study

Reyes

Espriella

Buendı́a

2015

Phys. Status Solidi B

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The magnetic properties of a ferrimagnetic mixed spin‐3/2 and spin‐5/2 Ising model with two crystal fields, in a longitudinal magnetic field, are studied by Monte Carlo simulations. The role of the different interactions in the Hamiltonian is explored. We investigate the thermal variations of the total magnetization and present phase diagrams. Depending on the region of the parameter space, we find some interesting phenomena such as compensation temperatures, and discontinuities in the magnetizations. We find that when an external field is present, the discontinuities are due to a simultaneous reversal of the spins of the sublattices. They signal the change between two different antiferromagnetic orderings, and are basically due to a competition between the different interactions in the Hamiltonian. We plot the dependence of the temperature at which the new phase occurs, for the different parameters in the Hamiltonian. Our results differ radically from earlier results obtained by other authors based on mean field theories. We find compensation temperatures at some particular combinations of parameters. Mean field theory predicts a wide range of parameters where the system presents even several compensation temperatures; in most of these regions we found none. In contrast with the mean field analysis that only looks at the total magnetizations, our study includes an analysis of the behavior of the sublattice magnetizations.

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Section: Introductionmentioning

confidence: 99%

Effects of an external magnetic field on a mixed spin-3/2 and spin-5/2 Ising ferrimagnet: A Monte Carlo study

Reyes

Espriella

Buendı́a

2015

Phys. Status Solidi B

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“…It has been considered as one of the simplest model exhibiting, in its mean-field version, a continuous, a second-order and a discontinuous firstorder phase transitions. This model has been explored to understand many other related topics including 3 He- 4 He mixtures, solid-liquid-gas systems [9]- [12], microemulsions [13], semiconductor alloys [14] and electronic conduction [15].…”

Section: Introductionmentioning

confidence: 99%