Triple-q order in Na${}_2$Co${}_2$TeO${}_6$ from proximity to hidden-SU(2)-symmetric point

Abstract

In extended Heisenberg-Kitaev-Gamma-type spin models, hidden-SU(2)-symmetric points are isolated points in parameter space that can be mapped to pure Heisenberg models via nontrivial duality transformations. Such points generically feature quantum degeneracy between conventional single-q and exotic multi-q states. We argue that recent single-crystal inelastic neutron scattering data place the honeycomb magnet Na${}_2$Co${}_2$TeO${}_6$ in proximity to such a hidden-SU(2)-symmetric point. The low-temperature order is identified as a triple-q state arising from the Néel antiferromagnet with staggered magnetization in the out-of-plane direction via a 4-sublattice duality transformation. This state naturally explains various distinctive features of the magnetic excitation spectrum, including its surprisingly high symmetry and the dispersive low-energy and flat high-energy bands. Our result demonstrates the importance of bond-dependent exchange interactions in cobaltates, and illustrates the intriguing magnetic behavior resulting from them.

arXiv comment7+14 pages, 3+10 figures; v2: exact diagonalization calculations added, elucidating proximity of Na${}_2$Co${}_2$TeO${}_6$ to Kitaev quantum spin liquid

References in corpus (60)

• Anyons in an exactly solved model and beyond
• Kitaev-Heisenberg Model on Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides $A_2$IrO${}_3$
• Proximate Kitaev Quantum Spin Liquid Behaviour in α-RuCl${}_3$
• Kitaev quantum spin liquid - concept and materialization
• Neutron tomography of magnetic Majorana fermions in a proximate quantum spin liquid
• Generic spin model for the honeycomb iridates beyond the Kitaev limit
• Models and Materials for Generalized Kitaev Magnetism
• Linear spin wave theory for single-Q incommensurate magnetic structures
• On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3
• Challenges in Design of Kitaev Materials: Magnetic Interactions from Competing Energy Scales
• The monoclinic crystal structure of $\alpha$-RuCl${}_3$ and the zigzag antiferromagnetic ground state
• Magnetic order in $\alpha$-RuCl${}_3$: a honeycomb lattice quantum magnet with strong spin-orbit coupling
• QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
• Excitations in the field-induced quantum spin liquid state of alpha-RuCl3
• QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems. Part II: bosons, fermions and higher spins
• Pseudospin exchange interactions in d^7 cobalt compounds: Possible realization of the Kitaev model
• Fermionic response from fractionalization in an insulating two-dimensional magnet
• Breakdown of Magnons in a Strongly Spin-Orbital Coupled Magnet
• Phase Diagram of $\alpha$-RuCl${}_3$ in an in-plane Magnetic Field
• Kitaev-Heisenberg Hamiltonian for High-Spin $d^7$ Mott Insulators
• Kitaev Spin Liquid in 3d Transition Metal Compounds
• Hidden symmetries of the extended Kitaev-Heisenberg model: Implications for honeycomb lattice iridates A2IrO3
• Field-induced quantum criticality in the Kitaev system $\alpha$-RuCl${}_3$
• Magnetization processes of zigzag states on the honeycomb lattice: Identifying spin models for $\alpha$-RuCl${}_3$ and Na${}_2$IrO${}_3$
• Field-induced quantum spin disordered state in spin-1/2 honeycomb magnet Na2Co2TeO6
• Kitaev-Heisenberg models for iridates on the triangular, hyperkagome, kagome, fcc, and pyrochlore lattices
• Effective spin model for the spin-liquid phase of the Hubbard model on the triangular lattice
• Honeycomb-lattice Heisenberg-Kitaev model in a magnetic field: Spin canting, metamagnetism, and vortex crystals
• Kitaev interactions in the Co honeycomb antiferromagnets Na${}_3$Co${}_2$SbO${}_6$ and Na${}_2$Co${}_2$TeO${}_6$
• Magnetic properties of the honeycomb oxide Na${}_2$Co${}_2$TeO${}_6$
• Ferromagnetic Kitaev interaction and the origin of large magnetic anisotropy in $\alpha$-RuCl${}_3$
• 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
• Theory of the field-revealed Kitaev spin liquid
• Antiferromagnetic Kitaev interaction in $J_\rm{eff}=1/2$ cobalt honeycomb materials Na${}_3$Co${}_2$SbO${}_6$ and Na${}_2$Co${}_2$TeO${}_6$
• Heisenberg-Kitaev physics in magnetic fields
• Ferrimagnetism and anisotropic phase tunability by magnetic fields in Na${}_2$Co${}_2$TeO${}_6$
• Spin-orbit phase behaviors of Na2Co2TeO6 at low temperatures
• Relativistic exchange interactions in CrX${}_3$ (X=Cl, Br, I) monolayers
• Magnetic order in single crystals of Na3Co2SbO6 with a honeycomb arrangement of 3d${}^7$ Co${}^{2+}$ ions
• Field-induced intermediate ordered phase and anisotropic interlayer interactions in $\alpha$-RuCl${}_3$
• Static and dynamic magnetic properties of honeycomb lattice antiferromagnets Na${}_2{M}_2$TeO${}_6$, $M$ = Co and Ni
• Biquadratic and ring exchange interactions in orthorhombic perovskite manganites
• Excitations in the ordered and paramagnetic states of honeycomb magnet Na2Co2TeO6
• Pseudo-Goldstone gaps and order-by-quantum-disorder in frustrated magnets
• Dominant Kitaev interactions in the honeycomb materials Na${}_3$Co${}_2$SbO${}_6$ and Na${}_2$Co${}_2$TeO${}_6$
• A magnetic continuum observed by terahertz spectroscopy in a quantum spin liquid candidate BaCo${}_2$(AsO${}_4$)${}_2$
• Magnetic ground state of the Kitaev Na${}_2$Co${}_2$TeO${}_6$ spin liquid candidate
• Unusual heat transport of the Kitaev material Na${}_2$Co${}_2$TeO${}_6$: putative quantum spin liquid and low-energy spin excitations
• Magnetic Couplings in Edge-Sharing High-Spin $d^7$ Compounds
• Unified quantitative model for magnetic and electronic spectra of the undoped cuprates
• Giant magnetic in-plane anisotropy and competing instabilities in Na3Co2SbO6
• Heisenberg-Kitaev model in a magnetic field: $1/S$ expansion
• Selection of direction of the ordered moments in Na${}_2$IrO${}_3$ and $\alpha -$RuCl${}_3$
• Magnetic excitations of the field induced states in BaCo2(AsO4)2 probed by time-domain terahertz spectroscopy
• Significant thermal Hall effect in the 3$d$ cobalt Kitaev system $N{a}_{2}C{o}_{2}Te{O}_6$
• Antiferromagnetic and Orbital Ordering on a Diamond Lattice Near Quantum Criticality
• Effective Spin Couplings in the Mott Insulator of the Honeycomb Lattice Hubbard Model
• Exact diagonalization study of the Hubbard-parametrized four-spin ring exchange model on a square lattice
• Effect of ring-exchange interactions in the extended Kitaev honeycomb model

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• Beyond Kitaev physics in strong spin-orbit coupled magnets
• Kitaev Quantum Spin Liquids
• Easy-plane multi-$\mathbf{q}$ magnetic ground state of Na${}_3$Co${}_2$SbO${}_6$
• Phonon thermal transport shaped by strong spin-phonon scattering in a Kitaev material Na${}_2$Co${}_2$TeO${}_6$
• Proximate Dirac spin liquid in honeycomb lattice $J_1$-$J_3$ XXZ model: Numerical study and application to cobaltates
• Phononic-magnetic dichotomy of the thermal Hall effect in the Kitaev-Heisenberg candidate material Na${}_2$Co${}_2$TeO${}_6$
• Spin vestigial orders in extended Heisenberg-Kitaev models near hidden SU(2) points: Application to Na${}_2$Co${}_2$TeO${}_6$
• Eight-color chiral spin liquid in the $S=1$ bilinear-biquadratic model with Kitaev interactions
• Field and Polarization Dependent Quantum Spin Dynamics in Honeycomb Magnet Na${}_2$Co${}_2$TeO${}_6$: Magnetic Excitations and Continuum
• Persistent spin dynamics in magnetically ordered honeycomb cobalt oxides
• Ferrimagnetism from triple-q order in Na${}_2$Co${}_2$TeO${}_6$
• Ring-Exchange Interaction Effects on Magnons in Dirac Magnet CoTiO${}_3$
• Signatures of a Quantum Critical Endpoint in the Kitaev Candidate Na${}_2$Co${}_2$TeO${}_6$
• Robust triple-q magnetic order with trainable spin vorticity in Na${}_2$Co${}_2$TeO${}_6$
• Field-Angle-Resolved Specific Heat in Na${}_2$Co${}_2$TeO${}_6$: Evidence against Kitaev Quantum Spin Liquid
• BaCo${}_2$(AsO${}_4$)${}_2$: Strong Kitaev, After All
• On the multi-$\mathbf{q}$ characteristics of magnetic ground states of honeycomb cobalt oxides
• Multinode quantum spin liquids in extended Kitaev honeycomb models: the view from variational Monte Carlo
• Chiral spin state and nematic ferromagnet in the spin-1 Kitaev-$\Gamma$ model
• Spin dynamics of triple-Q magnetic orderings in a triangular lattice: Implications for multi-Q orderings in general two-dimensional lattices
• Spin waves in Na${}_2$Co${}_2$TeO${}_6$ studied by high-frequency/high-field ESR: Successes and failures of the triple-$\mathbf{q}$ model
• Bond-dependent interactions and ill-ordered state in the honeycomb cobaltate BaCo${}_2$(AsO${}_4$)${}_2$
• Ground state and magnetic transitions of the orthorhombic antiferromagnet CaCo${}_2$TeO${}_6$
• Dynamic Spin-Lattice Coupling and Statistical Interpretation for the Molecular-Like Excitations in Frustrated Pyrochlores
• Ferrimagnetism from quantum fluctuations in Kitaev materials
• Field-induced magnetic phases in the Kitaev candidate Na${}_3$Co${}_2$SbO${}_6$
• Exact diagonalization study of triangular Heisenberg model with four-spin ring-exchange interaction
• Competing Interactions and the Effects of Uniaxial Out-of-plane Perturbations in the Honeycomb Antiferromagnet Na${}_2$Co${}_2$TeO${}_6$
• Using magnetic dynamics to measure the spin gap in a candidate Kitaev material
• Phenomenological Ginzburg-Landau theory for triple-Q magnetic orders on a hexagonal lattice
• Direct probe of magnetic field effects on phonons by ultrasound propagation in a quasi-two-dimensional honeycomb magnet Na${}_2$Co${}_2$TeO${}_6$
• Dominant Kitaev Interaction and Field-induced Quantum Disordered Phase in the Cobaltate Na${}_2$Co${}_2$TeO${}_6$
• Susceptibility anisotropy and absence of ferroelectric order in the Kitaev spin liquid candidate Na${}_2$Co${}_2$TeO${}_6$
• Relevance of on-site and intersite Coulomb interactions in the Kitaev-Heisenberg magnet Na${}_3$Co${}_2$SbO${}_6$