Ferromagnetic phases due to competing short- and long-range interactions in the spin-S Blume-Capel model

We broaden the study of the statistical physics of the spin-\(S\) Blume-Capel model with ferromagnetic mean-field interactions \(J\) in competition with short-range antiferromagnetic interactions \(K\) in a linear chain in the thermodynamic limit. This work describes the critical behavior of the mod...

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Bibliographic Details
Published in:arXiv.org 2018-04
Main Authors: Rodriguez Salmon, Octavio Daniel, Minos Adão Neto, Neto, Francisco Dinóla, Denis Américo Murillo Pariona, Justo Rojas Tapia
Format: Article
Language:English
Subjects:
Antiferromagnetism
Energy conservation
Ferromagnetic phases
Ferromagnetism
Free energy
Mathematical models
Phase diagrams
Topology
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Summary:We broaden the study of the statistical physics of the spin-\(S\) Blume-Capel model with ferromagnetic mean-field interactions \(J\) in competition with short-range antiferromagnetic interactions \(K\) in a linear chain in the thermodynamic limit. This work describes the critical behavior of the model when the \(S\) takes a half integer and an integer value. In both cases the phase diagrams exhibit new ferromagnetic phases (for certain values of \(K\)) enclosed by branches emerging from the first-order frontiers of the pure ferromagnetic model. For finite temperatures the complex topologies were obtained by numerical minimization of the free energy.
ISSN:2331-8422
DOI:10.48550/arxiv.1804.07228