Multicriticality in the Blume-Capel model under a continuous-field probability distribution

Abstract

The multicritical behavior of the Blume-Capel model with infinite-range interactions is investigated by introducing quenched disorder in the crystal field ${\Delta }_i$, which is represented by a superposition of two Gaussian distributions with the same width $\sigma$, centered at ${\Delta }_i=\Delta$ and ${\Delta }_i=0$, with probabilities $p$ and $(1-p)$, respectively. A rich variety of phase diagrams is presented, and their distinct topologies are shown for different values of $\sigma$ and $p$. The tricritical behavior is analyzed through the existence of fourth-order critical points as well as how the complexity of the phase diagrams is reduced by the strength of the disorder.

Submitted to Journal of Physics A

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• Mean field solution of the Blume-Capel model under a random crystal field
• The random field Blume-Capel model revisited
• Emergence of a bicritical end point in the random crystal field Blume-Capel model
• Phenomenological description of bright domain walls in ferroelectric-antiferroelectric layered chalcogenides
• Critical behavior of the spin-3/2 Blume Capel quantum model with two random transverse single-ion anisotropies
• Multicritical Behavior of Two Coupled Ising Models in the Presence of a Random Field
• Multiple transitions in an infinite range p-spin random-crystal field Blume Capel model
• Hysteresis behaviours of the crystal field diluted general spin-S Ising model
• First-order phase transition by a spin-flip potential in BCS superconductivity