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

DOI10.1016/j.physleta.2015.03.029zbMath1349.82026arXiv1501.07777OpenAlexW2082501333MaRDI QIDQ341016

Mohammad Hasan, M. Dambrine

Publication date: 15 November 2016

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.07777

zbMATH Keywords

Blume-Capel modelphase diagramsmulticritical behaviorrandom crystal field

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Phase transitions (general) in equilibrium statistical mechanics (82B26) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (5)

Random transverse single-ion anisotropy in the spin-1 Blume-Capel quantum model ⋮ The critical behavior of the spin-1 Ising model with a bimodal random crystal field: renormalization group study ⋮ Absence of first order transition in the random crystal field Blume–Capel model on a fully connected graph ⋮ First-order transition of the spin-1 Blume-Capel model with random anisotropy using effective-field theory ⋮ Phase diagrams of the spin-5/2 Blume-Capel model

Cites Work

• Effects of the quenched random crystal field on the dynamic spin-1 Blume-Capel model
• Introduction to the Replica Theory of Disordered Statistical Systems
• Statistical Physics of Spin Glasses and Information Processing

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