Mean-field solution of the Blume-Capel model under a random crystal field

Priscila V. dos Santos; Francisco A. da Costa; João M. de Araújo

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arXiv · 1501.07777

Mean-field solution of the Blume-Capel model under a random crystal field

Priscila V. dos Santos·Francisco A. da Costa·João M. de Araújo

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Abstract

In this work we investigate the Blume-Capel model with infinite-range ferromagnetic interactions and under the influence of a quenched disorder - a random crystal field. For a suitable choice of the random crystal field the model displays a wealth of multicritical behavior, continuous and first-order transition lines, as well as re-entrant behavior. The resulting phase diagrams show a variety of topologies as a function of the disorder parameter $\textit{p}$. A comparison with recent results on the Blume-Capel model in random crystal field is discussed.

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Priscila V. dos Santos, Francisco A. da Costa, João M. de Araújo. 2015-02-02. Mean-field solution of the Blume-Capel model under a random crystal field. https://arxiv.org/abs/1501.07777

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