Kitaev Spin Liquid in 3d Transition Metal Compounds

Huimei Liu; Jiri Chaloupka; Giniyat Khaliullin

doi:10.1103/PhysRevLett.125.047201

paper

Kitaev Spin Liquid in 3d Transition Metal Compounds

arXiv:2002.05441 · doi:10.1103/PhysRevLett.125.047201

Abstract

We study the exchange interactions and resulting magnetic phases in the honeycomb cobaltates. For a broad range of trigonal crystal fields acting on Co2+ ions, the low-energy pseudospin-1/2 Hamiltonian is dominated by bond-dependent Ising couplings that constitute the Kitaev model. The non-Kitaev terms nearly vanish at small values of trigonal field Δ, resulting in spin liquid ground state. Considering Na3Co2SbO6 as an example, we find that this compound is proximate to a Kitaev spin liquid phase, and can be driven into it by slightly reducing Δby \sim 20 meV, e.g., via strain or pressure control. We argue that due to the more localized nature of the magnetic electrons in 3d compounds, cobaltates offer the most promising search area for Kitaev model physics.

arXiv comment6+15 pages, Fig.4(c) added, extended SM

References in corpus (42)

Anyons in an exactly solved model and beyond
Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
Quantum Spin Liquids
Kitaev-Heisenberg Model on Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides $A_{2}$ IrO $_{3}$
Kitaev quantum spin liquid - concept and materialization
$α$ -RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry
Generic spin model for the honeycomb iridates beyond the Kitaev limit
Models and Materials for Generalized Kitaev Magnetism
On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3
Challenges in Design of Kitaev Materials: Magnetic Interactions from Competing Energy Scales
Scattering Continuum and Possible Fractionalized Excitations in $α$ -RuCl $_{3}$
Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
Orbital order and fluctuations in Mott insulators
Excitations in the field-induced quantum spin liquid state of alpha-RuCl3
Pseudospin exchange interactions in d^7 cobalt compounds: Possible realization of the Kitaev model
Breakdown of Magnons in a Strongly Spin-Orbital Coupled Magnet
Hunting Majorana Fermions in Kitaev Magnets
Kitaev-Heisenberg Hamiltonian for High-Spin $d^{7}$ Mott Insulators
Hidden symmetries of the extended Kitaev-Heisenberg model: Implications for honeycomb lattice iridates A2IrO3
Controlling orbital moment and spin orientation in CoO layers by strain
Ab initio analysis of the tight-binding parameters and magnetic interactions in Na2IrO3
Probing $α$ -RuCl $_{3}$ Beyond Magnetic Order: Effects of Temperature and Magnetic Field
Dynamics of the Kitaev-Heisenberg Model
Magnetic properties of the honeycomb oxide Na $_{2}$ Co $_{2}$ TeO $_{6}$
Magnetic anisotropy in the Kitaev model systems Na2IrO3 and RuCl3
Zigzag antiferromagnetic ground state with anisotropic correlation lengths in the quasi-2D honeycomb lattice compound Na2Co2TeO6
Weak-field induced nonmagnetic state in a Co-based honeycomb
The magnetic properties and structure of the quasi-two-dimensional antiferromagnet CoPS $_{3}$
Dirac magnons in a honeycomb lattice quantum XY magnet CoTiO3
Ferrimagnetism and anisotropic phase tunability by magnetic fields in Na $_{2}$ Co $_{2}$ TeO $_{6}$
Kitaev Materials
Magnetic order in single crystals of Na3Co2SbO6 with a honeycomb arrangement of 3d $^{7}$ Co $^{2 +}$ ions
Pseudo Jahn-Teller Effect and Magnetoelastic Coupling in Spin-Orbit Mott Insulators
Doped Mott Insulators in (111) Bilayers of Perovskite Transition-Metal Oxides with a Strong Spin-Orbit Coupling
Kitaev-like honeycomb magnets: Global phase behavior and emergent effective models
Short range order in the quantum XXZ honeycomb lattice material BaCo $_{2}$ (PO $_{4}$ ) $_{2}$
Single-ion properties of the $S_{e f f}$ = 1/2 XY antiferromagnetic pyrochlores, Na $A^{'}$ Co $_{2}$ F $_{7}$ ( $A^{'} =$ Ca $^{2 +}$ , Sr $^{2 +}$ )
Orbitally induced hierarchy of exchange interactions in zigzag antiferromagnetic state of honeycomb silver delafossite Ag3Co2SbO6
Synthesis, structure and magnetic properties of honeycomb-layered Li3Co2SbO6 with new data on its sodium precursor, Na3Co2SbO6
Molecular spin-orbit excitations in the J_eff = 1/2 frustrated spinel GeCo $_{2}$ O $_{4}$
Unusual electron correlations in NaxCoO2 due to the spin-state quasidegeneracy of cobalt ions

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