Kitaev-like honeycomb magnets: Global phase behavior and emergent effective models

Abstract

Compounds of transition metal ions with strong spin-orbit coupling recently attracted attention due to the possibility to host frustrated bond-dependent anisotropic magnetic interactions. In general, such interactions lead to complex phase diagrams that may include exotic phases, e.g. the Kitaev spin liquid. Here we report on our comprehensive analysis of the global phase diagram of the extended Kitaev-Heisenberg model relevant to honeycomb lattice compounds Na2IrO3 and alpha-RuCl3. We have utilized recently developed method based on spin coherent states that enabled us to resolve arbitrary spin patterns in the cluster ground states obtained by exact diagonalization. Global trends in the phase diagram are understood in combination with the analytical mappings of the Hamiltonian that uncover peculiar links to known models - Heisenberg, Ising, Kitaev, or compass models on the honeycomb lattice - or reveal entire manifolds of exact fluctuation-free ground states. Finally, our study can serve as a methodological example that can be applied to other spin models with complex bond-dependent non-Heisenberg interactions.

18 pages, 10 figures

References in corpus (33)

• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Novel Jeff = 1/2 Mott State Induced by Relativistic Spin-Orbit Coupling in Sr2IrO4
• $\alpha$-RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
• Models and Materials for Generalized Kitaev Magnetism
• Spin-Liquid State in the S = 1/2 Hyperkagome Antiferromagnet Na4Ir3O8
• On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3
• Magnetic order in $\alpha$-RuCl${}_3$: a honeycomb lattice quantum magnet with strong spin-orbit coupling
• Hyper-honeycomb iridate $\beta$-Li2IrO3 as a platform for Kitaev magnetism
• Long range magnetic ordering in Na${}_2$IrO${}_3$
• Fermi Arcs in a Doped Pseudospin-1/2 Heisenberg Antiferromagnet
• Pseudospin exchange interactions in d^7 cobalt compounds: Possible realization of the Kitaev model
• Spin-wave excitations evidencing the Kitaev interaction in single crystalline $\alpha$-RuCl${}_3$
• Kitaev-Heisenberg Hamiltonian for High-Spin $d^7$ Mott Insulators
• Hidden symmetries of the extended Kitaev-Heisenberg model: Implications for honeycomb lattice iridates A2IrO3
• Magnetization processes of zigzag states on the honeycomb lattice: Identifying spin models for $\alpha$-RuCl${}_3$ and Na${}_2$IrO${}_3$
• Non-coplanar and counter-rotating incommensurate magnetic order stabilized by Kitaev interactions in $\gamma$-Li2IrO3
• Spin-orbit effects in Na${}_4$Ir${}_3$O${}_8$, a hyper-kagomé lattice antiferromagnet
• Spin-S Kitaev model: Classical Ground States, Order by Disorder and Exact Correlation Functions
• Magnetic anisotropy in the Kitaev model systems Na2IrO3 and RuCl3
• Orbital ordering and frustration of $p$-band Mott-insulators
• Importance of anisotropic exchange interactions in honeycomb iridates. Minimal model for zigzag antiferromagnetic order in Na${}_2$IrO${}_3$
• Spin-orbit physics of j=1/2 Mott insulators on the triangular lattice
• Frustrated two dimensional quantum magnets
• Kitaev Materials
• Orbital order in Mott insulators of spinless p-band fermions
• Theory of Magnetic Phase Diagrams in Hyperhoneycomb and Harmonic-honeycomb Iridates
• Phase diagram and spin correlations of the Kitaev-Heisenberg model: Importance of quantum effects
• Probing the stability of the spin liquid phases in the Kitaev-Heisenberg model using tensor network algorithms
• Global phase diagram, possible chiral spin liquid and topological superconductivity in the triangular Kitaev-Heisenberg model
• Density-Matrix Renormalization Group Study of Extended Kitaev-Heisenberg Model
• Doubly degenerate orbital system in honeycomb lattice: implication of orbital state in layered iron oxide
• Phases and phase transitions of a perturbed Kekulé-Kitaev model
• Global Phase Diagram of the Extended Kitaev-Heisenberg Model on Honeycomb Lattice

Cited by in corpus (1)

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