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dc.contributor.authorLuque, L. M.
dc.contributor.authorGrigera, S. A.
dc.contributor.authorAlbano, E.
dc.identifier.citationLuque , L M , Grigera , S A & Albano , E 2019 , ' Numerical simulations study of a spin-1 Blume-Emery-Griffiths model on a square lattice ' , Journal of Statistical Mechanics: Theory and Experiment .
dc.identifier.otherPURE: 258414800
dc.identifier.otherPURE UUID: 1021685c-e6b4-41d6-acd4-c1f9553b5af9
dc.identifier.otherWOS: 000461663100003
dc.identifier.otherScopus: 85065670288
dc.identifier.otherWOS: 000461663100003
dc.descriptionThis work was supported by CONICET (Argentina), and ANPCYT (Argentina) via grant PICT-2013-2004.en
dc.description.abstractWe use the Monte Carlo simulation technique to study the critical behavior of a three-state spin model, with bilinear and biquadratic nearest-neighbor interactions, known as the Blume-Emery-Griffiths model (BEG), in a square lattice. In order to characterize this model, we study the phase diagram, in which we identify three different phases: ferromagnetic, paramagnetic and quadrupolar, the later with one sublattice filled with spins and the other with vacancies. We perform our studies by using two algorithms: Metropolis update (MU) and Wang-Landau (WL). The critical scaling behavior of the model is complementary studied by applying results obtained by using both algorithms, while tricritical points and the tricritical scaling behavior is analyzed by means of WL measuring the joint density of states and using the method of field mixing in conjunction with finite-size scaling. Furthermore, motivated by the decoupling between spins observed within the quadrupolar phase, we further generalize the BEG model in order to study the behavior of the system by adding a next nearest neighbour (NNN) interaction between spins. We found that by increasing the strength of the (ferromagnetic) NNN interaction, a new ferromagnetic phase takes over that contains both quadrupolar and ferromagnetic order.
dc.relation.ispartofJournal of Statistical Mechanics: Theory and Experimenten
dc.rights© 2019, IOP Publishing Ltd and SISSA Medialab srl. This work has been made available online in accordance with the publisher's policies. This is the author created accepted version manuscript following peer review and as such may differ slightly from the final published version. The final published version of this work is available at
dc.subjectClassical Monte Carlo simulationsen
dc.subjectClassical phase transitionsen
dc.subjectNumerical simulationsen
dc.subjectPhase diagramsen
dc.subjectQC Physicsen
dc.titleNumerical simulations study of a spin-1 Blume-Emery-Griffiths model on a square latticeen
dc.typeJournal articleen
dc.contributor.institutionUniversity of St Andrews.School of Physics and Astronomyen
dc.contributor.institutionUniversity of St Andrews.Condensed Matter Physicsen
dc.description.statusPeer revieweden

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