Orbital order in classical models of transition-metal compounds

2003/09/30 by Zohar Nussinov, Marek Biskup, Lincoln Chayes +1 · 3 citations
Materials Science · Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Magnetic and transport properties of perovskites and related materials #Rare-earth and actinide compounds #cond-mat.stat-mech #cond-mat.str-el #math-ph #math.MP #math.PR

paper · pdf · doi:10.1209/epl/i2004-10134-5

published as Europhys. Lett. 67 (2004), no. 6, 990-996 · 7 pages, 1 eps fig

arxiv created 2004/06/04 · openalex publication_date 2004/09/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We study the classical 120 degree and related orbital models. These are the classical limits of quantum models which describe the interactions among orbitals of transition-metal compounds. We demonstrate that at low temperatures these models exhibit a long-range order which arises via an "order by disorder" mechanism. This strongly indicates that there is orbital ordering in the quantum version of these models, notwithstanding recent rigorous results on the absence of spin order in these systems.

Citations

• SU(4) Theory for Spin Systems with Orbital Degeneracy
• Density-functional theory and strong interactions: Orbital ordering in Mott-Hubbard insulators

Cited by

• A Model with Simultaneous First and Second Order Phase Transitions
• Unveiling the Nature of Three-Dimensional Orbital Ordering Transitions: The Case ofegandt2gModels on the Cubic Lattice
• Spontaneous symmetry breaking in a generalized orbital compass model

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