Orbital order in classical models of transition-metal compounds

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.

7 pages, 1 eps fig

Cited by in corpus (32)

• Autocorrelations and Thermal Fragility of Anyonic Loops in Topologically Quantum Ordered Systems
• Orbital ordering and frustration of $p$-band Mott-insulators
• Fingerprints of spin-orbital entanglement in transition metal oxides
• First order phase transition in the anisotropic quantum orbital compass model
• Orbital order in Mott insulators of spinless p-band fermions
• Monte Carlo simulations of the directional-ordering transition in the two-dimensional classical and quantum compass model
• Multicriticality and entanglement in the one-dimensional quantum compass model
• Ising Like Order by Disorder In The Pyrochlore Antiferromagnet with Dzyaloshinskii-Moriya Interactions
• Reflection positivity and phase transitions in lattice spin models
• A selection of nonequilibrium issues
• Spin-orbital resonating valence bond liquid on a triangular lattice: Evidence from finite-cluster diagonalization
• Orbital ordering in e_g orbital systems: Ground states and thermodynamics of the 120 degree model
• Doubly degenerate orbital system in honeycomb lattice: implication of orbital state in layered iron oxide
• Hidden dimer order in the quantum compass model
• Dilution Effects in Two-dimensional Quantum Orbital System
• Entangled spin-orbital phases in the bilayer Kugel-Khomskii model
• Quantum phase transitions in exactly solvable one-dimensional compass models
• Exact Universal Chaos, Speed Limit, Acceleration, Planckian Transport Coefficient, "Collapse" to equilibrium, and Other Bounds in Thermal Quantum Systems
• KCrF_3: Electronic Structure, Magnetic and Orbital Ordering from First Principles
• Orbital order driven quantum criticality
• Intermediate Symmetries In Electronic Systems: Dimensional Reduction, Order Out Of Disorder, Dualities, And Fractionalization
• Emergent dimensional reduction of the spin sector in a model for narrow-band manganites
• Fluctuation control of non-thermal orbital order
• Unveiling the nature of three dimensional orbital ordering transitions: the case of $e_g$ and $t_{2g}$ models on the cubic lattice
• Dilution effect in correlated electron system with orbital degeneracy
• Finite-Temperature Néel Ordering of Fluctuations in a Plaquette Orbital Model
• Compass Impurity Model of Tb Substitution in Sr2IrO4
• Thermal Canting of Spin-Bond Order
• First-order directional ordering transition in the three-dimensional compass model
• A model with simultaneous first and second order phase transitions
• A Theorem on Extensive Spectral Degeneracy for Systems with Higher Symmetries in General Dimensions
• Subsystem symmetries, critical Bose surface, and immobile excitations in an extended compass model