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Numerical simulations study of a spin-1 Blume-Emery-Griffiths model on a square lattice

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Date
18/03/2019
Author
Luque, L. M.
Grigera, S. A.
Albano, E.
Keywords
Classical Monte Carlo simulations
Classical phase transitions
Numerical simulations
Phase diagrams
QC Physics
NDAS
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Abstract
We 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.
Citation
Luque , 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 . https://doi.org/10.1088/1742-5468/ab0817
Publication
Journal of Statistical Mechanics: Theory and Experiment
Status
Peer reviewed
DOI
https://doi.org/10.1088/1742-5468/ab0817
ISSN
1742-5468
Type
Journal article
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 https://doi.org/10.1088/1742-5468/ab0817
Description
This work was supported by CONICET (Argentina), and ANPCYT (Argentina) via grant PICT-2013-2004.
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  • University of St Andrews Research
URI
http://hdl.handle.net/10023/19671

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