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

TL;DR

This paper provides a mean-field analysis of the Blume-Capel model with infinite-range interactions under a random crystal field, revealing complex phase diagrams with multicritical points, re-entrant behavior, and various transition types.

Contribution

It introduces a mean-field solution for the Blume-Capel model with quenched disorder, exploring its rich phase diagram and comparing with recent studies.

Findings

Presence of multicritical points and re-entrant behavior

Complex phase diagram topology depending on disorder parameter

Both continuous and first-order transition lines

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.