Emergence of a bicritical end point in the random crystal field Blume-Capel model

Abstract

We obtain the phase diagram for the Blume-Capel model with bimodal distribution for random crystal fields, in the space of three fields: temperature, crystal field and magnetic field. We find that three critical lines meet at a tricritical point, but only for weak disorder. As disorder strength increases there is no tricritical point in the phase diagram. We instead find a bicritical end point, where only two of the critical lines meet on a first order surface in the H=0 plane. For intermediate strengths of disorder, the phase diagram has critical end points along with the bicritical end point. One needs to look at the phase diagram in the space of three fields to identify various such multicritical points.

arXiv commentReplaced with the published version

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• Phase diagram of the repulsive Blume-Emery-Griffiths model in the presence of external magnetic field on a complete graph
• Inverse transitions and disappearance of the λ-line in the asymmetric random field Ising and Blume-Capel models
• Multiple transitions in an infinite range p-spin random-crystal field Blume Capel model
• Phase transitions and finite-size effects in integrable virial statistical models
• Ensemble dependence of the critical behavior of a system with long-range interaction and quenched randomness
• Phase transitions in the Blume-Capel model with trimodal and Gaussian random fields