Role of the spin-orbit coupling in the Kugel-Khomskii model on the honeycomb lattice

Abstract

We study the effective spin-orbital model for honeycomb-layered transition metal compounds, applying the second-order perturbation theory to the three-orbital Hubbard model with the anisotropic hoppings. This model is reduced to the Kitaev model in the strong spin-orbit coupling limit. Combining the cluster mean-field approximations with the exact diagonalization, we treat the Kugel-Khomskii type superexchange interaction and spin-orbit coupling on an equal footing to discuss ground-state properties. We find that a zigzag ordered state is realized in the model within nearest-neighbor interactions. We clarify how the ordered state competes with the nonmagnetic state, which is adiabatically connected to the quantum spin liquid state realized in a strong spin-orbit coupling limit. Thermodynamic properties are also addressed. The present work should provide another route to account for the Kitaev-based magnetic properties in candidate materials.

arXiv comment5 pages, 5 figures

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• SU(4)-symmetric spin-orbital liquids on the hyperhoneycomb lattice
• Quantum and classical behavior of spin-$S$ Kitaev models in an anisotropic limit
• How spin-orbital entanglement depends on the spin-orbit coupling in a Mott insulator
• Low temperature properties in the Bilayer Kitaev model
• Emergence of Competing Orders and Possible Quantum Spin Liquid in SU(N) Fermions
• Residual Entropy and Spin Fractionalizations in the Mixed-Spin Kitaev Model
• Material-based analysis of spin-orbital Mott insulators
• Thermally enhanced Majorana-mediated spin transport in the Kitaev model
• Multicomponent magneto-orbital order and magneto-orbitons in monolayer VCl3
• Ground-state properties for bilayer Kitaev model: dimer expansion study
• Spin-orbital magnetism in moiré Wigner molecules