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

TL;DR

This paper analyzes the phase behavior of the Blume-Capel model with infinite-range interactions under a quenched random crystal field, revealing complex multicritical phenomena and diverse phase diagram topologies.

Contribution

It provides a mean field solution for the Blume-Capel model with quenched disorder, highlighting novel multicritical and re-entrant behaviors not previously characterized.

Findings

Presence of multicritical points and re-entrant phase transitions.

Diverse phase diagram topologies depending on disorder parameter p.

Comparison with recent studies confirms new phase behaviors.

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.