Spin waves and revised crystal structure of honeycomb iridate Na2IrO3

Abstract

We report inelastic neutron scattering measurements on Na2IrO3, a candidate for the Kitaev spin model on the honeycomb lattice. We observe spin-wave excitations below 5 meV with a dispersion that can be accounted for by including substantial further-neighbor exchanges that stabilize zig-zag magnetic order. The onset of long-range magnetic order below 15.3 K is confirmed via the observation of oscillations in zero-field muon-spin rotation experiments. Combining single-crystal diffraction and density functional calculations we propose a revised crystal structure model with significant departures from the ideal 90 deg Ir-O-Ir bonds required for dominant Kitaev exchange.

12 pages; fixed typos

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Cited by in corpus (449)

• Quantum Spin Liquids
• Correlated quantum phenomena in the strong spin-orbit regime
• Proximate Kitaev Quantum Spin Liquid Behaviour in α-RuCl${}_3$
• Kitaev quantum spin liquid - concept and materialization
• $\alpha$-RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
• Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
• 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
• 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
• Scattering Continuum and Possible Fractionalized Excitations in $\alpha$-RuCl${}_3$
• Magnetic order in $\alpha$-RuCl${}_3$: a honeycomb lattice quantum magnet with strong spin-orbit coupling
• Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
• Interacting topological insulators: a review
• Low-temperature crystal and magnetic structure of $\alpha$-RuCl3
• Direct evidence of a zigzag spin chain structure in the honeycomb lattice: A neutron and x-ray diffraction investigation on single crystal $\mathrm{N}{\mathrm{a}}_2\mathrm{Ir}{\mathrm{O}}_3$
• Hyper-honeycomb iridate $\beta$-Li2IrO3 as a platform for Kitaev magnetism
• Evidence for a Field-induced Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• Dynamics of a two-dimensional quantum spin liquid: signatures of emergent Majorana fermions and fluxes
• Successive magnetic phase transitions in $\mathbf{\alpha }$-RuCl${}_3$: XY-like frustrated magnet on the honeycomb lattice
• Kitaev magnetism in honeycomb RuCl3 with intermediate spin-orbit coupling
• Pseudospin exchange interactions in d^7 cobalt compounds: Possible realization of the Kitaev model
• Spin-orbit excitation energies, anisotropic exchange, and magnetic phases of honeycomb RuCl3
• A new spin-anisotropic harmonic honeycomb iridate
• Hunting Majorana Fermions in Kitaev Magnets
• Crystal structure and magnetism in $\alpha$-RuCl3: an ab-initio study
• Crystal field splitting and correlation effect on the electronic structure of A2IrO3
• Spin-Orbit Coupling in Iridium-Based 5d Compounds Probed by X-ray Absorption Spectroscopy
• Kitaev interactions between j=1/2 moments in honeycomb Na2IrO3 are large and ferromagnetic: insights from ab initio quantum chemistry calculations
• Thermal fractionalization of quantum spins in a Kitaev model: $T$-linear specific heat and coherent transport of Majorana fermions
• Magnon spin Nernst effect in antiferromagnets
• Gapless Spin Excitations in the Field-Induced Quantum Spin Liquid Phase of alpha-RuCl3
• Spin-wave excitations evidencing the Kitaev interaction in single crystalline $\alpha$-RuCl${}_3$
• Na2IrO3 as a spin-orbit-assisted antiferromagnetic insulator with a 340 meV gap
• First-Principles Study of the Honeycomb-Lattice Iridates Na2IrO3 in the Presence of Strong Spin-Orbit Interaction and Electron Correlations
• Anomalous thermal conductivity and magnetic torque response in the honeycomb magnet $\alpha$-RuCl${}_3$
• Hidden symmetries of the extended Kitaev-Heisenberg model: Implications for honeycomb lattice iridates A2IrO3
• Ab initio analysis of the tight-binding parameters and magnetic interactions in Na2IrO3
• Na2IrO3 as a molecular orbital crystal
• Incommensurate Counterrotating Magnetic Order Stabilized by Kitaev Interactions in the Layered Honeycomb $\alpha$-Li${}_2$IrO${}_3$
• The Challenge of Spin-Orbit-Tuned Ground States in Iridates
• Magnetization processes of zigzag states on the honeycomb lattice: Identifying spin models for $\alpha$-RuCl${}_3$ and Na${}_2$IrO${}_3$
• Recent progress on correlated electron systems with strong spin-orbit coupling
• Non-coplanar and counter-rotating incommensurate magnetic order stabilized by Kitaev interactions in $\gamma$-Li2IrO3
• Raman Scattering Signatures of Kitaev Spin Liquids in A${}_2$ IrO${}_3$ Iridates
• Field-induced quantum spin disordered state in spin-1/2 honeycomb magnet Na2Co2TeO6
• Dynamics of Fractionalization in Quantum Spin Liquids
• Unconventional magnetic order on the hyperhoneycomb Kitaev lattice in $\beta$-Li2IrO3: full solution via magnetic resonant x-ray diffraction
• Kitaev-Heisenberg models for iridates on the triangular, hyperkagome, kagome, fcc, and pyrochlore lattices
• Topological Magnons in Kitaev Magnets at High Fields
• Microscopic mechanism for higher-spin Kitaev model
• Classification of gapless Z2 spin liquids in three-dimensional Kitaev models
• Novel magnetism of Ir5+ ions in the double perovskite Sr2YIrO6
• Probing $\alpha$-RuCl${}_3$ Beyond Magnetic Order: Effects of Temperature and Magnetic Field
• 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${}_6$
• Observation of two types of anyons in the Kitaev honeycomb magnet
• Magnetic properties of the honeycomb oxide Na${}_2$Co${}_2$TeO${}_6$
• Giant Magnon Gap in Bilayer Iridate Sr3Ir2O7: Enhanced Pseudo-dipolar Interactions Near the Mott Transition
• Magnetic anisotropy in the Kitaev model systems Na2IrO3 and RuCl3
• Theoretical investigation of the magnetic dynamics in $\alpha$-RuCl${}_3$
• Three dimensional quantum spin liquids in models of harmonic-honeycomb iridates and phase diagram in an infinite-D approximation
• Zigzag antiferromagnetic ground state with anisotropic correlation lengths in the quasi-2D honeycomb lattice compound Na2Co2TeO6
• Importance of anisotropic exchange interactions in honeycomb iridates. Minimal model for zigzag antiferromagnetic order in Na${}_2$IrO${}_3$
• Dimensionality Driven Spin-Flop Transition in Layered Iridates
• Theory of the field-revealed Kitaev spin liquid
• Finite field regime for a quantum spin liquid in $\alpha$-RuCl${}_3$
• Robust non-Abelian spin liquid and possible intermediate phase in antiferromagnetic Kitaev model with magnetic field
• Low-energy Spin Dynamics of the Honeycomb Spin Liquid Beyond the Kitaev Limit
• Critical properties of the Kitaev-Heisenberg model
• 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
• Testing the validity of the strong spin-orbit-coupling limit for octahedrally coordinated iridates in a model system Sr${}_3$CuIrO${}_6$
• Quantum spin liquid with a Majorana Fermi surface on the three-dimensional hyperoctagon lattice
• Covalent bonds against magnetism in transition metal compounds
• Topological excitations in the ferromagnetic Kitaev-Heisenberg model
• Spin-orbit physics of j=1/2 Mott insulators on the triangular lattice
• Raman spectroscopic signature of fractionalized excitations in the harmonic-honeycomb iridates $\beta$- and $\gamma$-Li${}_2$IrO${}_3$
• J${}_{eff}$ description of the honeycomb Mott insulator $\alpha$-RuCl${}_3$
• Clues and criteria for designing Kitaev spin liquid revealed by thermal and spin excitations of honeycomb iridates Na${}_2$IrO${}_3$
• Ferrimagnetism and anisotropic phase tunability by magnetic fields in Na${}_2$Co${}_2$TeO${}_6$
• Antiferromagnetic resonance and terahertz continuum in $\alpha -$RuCl${}_3$
• A valence bond liquid on the honeycomb lattice
• Magnetic properties of restacked 2D spin $\frac{1}{2}$ honeycomb RuCl${}_3$ nanosheets
• Magnetic Order in the Pyrochlore Iridates A2Ir2O7 (A = Y, Yb)
• Quantum Phase Transition in Heisenberg-Kitaev Model
• Heisenberg-Kitaev model on hyperhoneycomb lattice
• Square Lattice Iridates
• Spin-orbit phase behaviors of Na2Co2TeO6 at low temperatures
• Honeycomb Layered Oxides: Structure, Energy Storage, Transport, Topology and Relevant Insights
• Magnetic excitation spectrum of Na2IrO3 probed with resonant inelastic x-ray scattering
• Phase Diagram and Quantum Order by Disorder in the Kitaev $K_1$-$K_2$ Honeycomb Magnet
• Z_2-vortex lattice in the ground state of the triangular Kitaev-Heisenberg model
• Phase diagram of the toric code model in a parallel magnetic field
• Mixing of $t_{2g}$-$e_g$ orbitals in 4d and 5d transition metal oxides
• Spiral order in the honeycomb iridate Li2IrO3
• One Proximate Kitaev Spin Liquid in the $K$-$J$-$\Gamma$ Model on the Honeycomb Lattice
• Proximate ferromagnetic state in the Kitaev model material $\alpha$-RuCl${}_3$
• Physical states and finite-size effects in Kitaev's honeycomb model: Bond disorder, spin excitations, and NMR lineshape
• Fingerprints of Kitaev physics in the magnetic excitations of honeycomb iridates
• Ultralow-temperature thermal conductivity of the Kitaev honeycomb magnet $\alpha$-RuCl${}_3$ across the field-induced phase transition
• Dynamical and thermal magnetic properties of the Kitaev spin liquid candidate $\alpha$-RuCl${}_3$
• Magnetic field induced intermediate quantum spin-liquid with a spinon Fermi surface
• Two-dimensional spin liquid behaviour in the triangular-honeycomb antiferromagnet TbInO${}_3$
• Theory of Magnetic Phase Diagrams in Hyperhoneycomb and Harmonic-honeycomb Iridates
• Classical spin liquid instability driven by off-diagonal exchange in strong spin-orbit magnets
• Strongly frustrated triangular spin lattice emerging from triplet dimer formation in honeycomb Li2IrO3
• Spin-Space Groups and Magnon Band Topology
• Competition between spin-orbit coupling, magnetism, and dimerization in the honeycomb iridates: $\alpha$-Li${}_2$IrO${}_3$ under pressure
• Unified theory of spiral magnetism in the harmonic-honeycomb iridates α, β, γ Li2IrO3
• Magnetic thermal conductivity far above the Néel temperatures in the Kitaev-magnet candidate $\alpha$-RuCl${}_3$
• Electronic Structure of the Kitaev Material $\alpha$-${\text{RuCl}}_3$ Probed by Photoemission and Inverse Photoemission Spectroscopies
• Thermodynamic Evidence of Proximity to a Kitaev Spin-Liquid in Ag${}_3$LiIr${}_2$O${}_6$
• Phase diagram and spin correlations of the Kitaev-Heisenberg model: Importance of quantum effects
• Unveiling Magnetic Interactions of Ruthenium Trichloride via Constraining Direction of Orbital moments: Potential Routes to Realize Quantum Spin Liquid
• Excitations in the ordered and paramagnetic states of honeycomb magnet Na2Co2TeO6
• Doped Mott Insulators in (111) Bilayers of Perovskite Transition-Metal Oxides with a Strong Spin-Orbit Coupling
• Kitaev materials beyond iridates: order by quantum disorder and Weyl magnons in rare-earth double perovskites
• Global phase diagram of a doped Kitaev-Heisenberg model
• Importance of Spin-Orbit Coupling in Organic BEDT-TTF and BEDT-TSF Salts
• Dominant Kitaev interactions in the honeycomb materials Na${}_3$Co${}_2$SbO${}_6$ and Na${}_2$Co${}_2$TeO${}_6$
• Ground-state and thermodynamic properties of an $S=1$ Kitaev model
• Magnon Hall effect in AB-stacked bilayer honeycomb quantum magnets
• Resonant inelastic X-ray scattering response of the Kitaev honeycomb model
• Beyond Kitaev physics in strong spin-orbit coupled magnets
• Single crystal growth from separated educts and its application to lithium transition-metal oxides
• Exotic low-energy excitations emergent in the random Kitaev magnet Cu${}_2$IrO${}_3$
• Origin of the insulating state in honeycomb iridates and rhodates
• Theory of a quantum critical phenomenon in a topological insulator: (3+1)-dimensional quantum electrodynamics in solids
• Field evolution of magnons in $\alpha$-RuCl${}_3$ by high-resolution polarized terahertz spectroscopy
• ARPES study of the Kitaev Candidate $\alpha$-RuCl${}_3$
• Comprehensive study of the dynamics of a classical Kitaev spin liquid
• Toward Kitaev's sixteenfold way in a honeycomb lattice model
• XY magnetism, Kitaev exchange, and long-range frustration in the $J_{\mathrm{eff}}=1/2$ honeycomb cobaltates
• Order-by-disorder and spin-orbital liquids in a distorted Heisenberg-Kitaev model
• Mott Variable Range Hopping and Weak Antilocalization Effect in Heteroepitaxial Na2IrO3 Thin Films
• Lattice-Tuned Magnetism of Ru4+(4d4) Ions in Single-Crystals of the Layered Honeycomb Ruthenates: Li2RuO3 and Na2RuO3
• New Evidence for a Low-Temperature Magnetic Ground State in Double-Perovskite Iridates with Ir5+(5d4) Ions
• Evolution of Magnetism in Single-Crystal Honeycomb Iridates
• Theory of Raman response in three-dimensional Kitaev spin liquids: application to $\beta -$ and $\gamma -$Li${}_2$IrO${}_3$ compounds
• Pseudospin-lattice coupling in the spin-orbit Mott insulator Sr2IrO4
• Pressure-tuned magnetic interactions in honeycomb Kitaev materials
• Dirac and Chiral Quantum Spin Liquids on the Honeycomb Lattice in a Magnetic Field
• Spin-1 Kitaev-Heisenberg model on a two-dimensional honeycomb lattice
• Global phase diagram, possible chiral spin liquid and topological superconductivity in the triangular Kitaev-Heisenberg model
• Spin-orbital entangled state and realization of Kitaev physics in 3d cobalt compounds: a progress report
• Heat capacity evidence for proximity to the Kitaev QSL in A${}_2$IrO${}_3$ ($A=$ Na, Li)
• Effect of nonmagnetic dilution in honeycomb lattice iridates Na${}_2$IrO${}_3$ and Li${}_2$IrO${}_3$
• Kitaev-like honeycomb magnets: Global phase behavior and emergent effective models
• Confinement-Deconfinement Transition as an Indication of Spin-Liquid-Type Behavior in Na${}_2$IrO${}_3$
• Field-induced intertwined orders in 3D Mott-Kitaev honeycomb $\beta$-Li2IrO3
• Experimental signatures of quantum and topological states in frustrated magnetism
• MAISE: Construction of neural network interatomic models and evolutionary structure optimization
• Strong effect of hydrogen order on magnetic Kitaev interactions in H${}_3$LiIr${}_2$O${}_6$
• Effect of isoelectronic doping on honeycomb lattice iridate A_2IrO_3
• Magnetic Orders Proximal to the Kitaev Limit in Frustrated Triangular Systems: Application to Ba${}_3$IrTi${}_2$O${}_9$
• Pressure-tuning of bond-directional exchange interactions and magnetic frustration in hyperhoneycomb iridate $\beta$-$\mathrm{L}{\mathrm{i}}_2\mathrm{Ir}{\mathrm{O}}_3$
• Pressure and magnetic-field effects on metal-insulator transitions of bulk and domain-wall states in pyrochlore iridates
• Li${}_2$RhO${}_3$: A spin-glassy relativistic Mott insulator
• Heisenberg-Kitaev model in a magnetic field: $1/S$ expansion
• Destabilization of magnetic order in a dilute Kitaev spin liquid candidate
• Competition between static and dynamic magnetism in the Kitaev spin liquid material Cu2IrO3
• Van Hove singularity in the magnon spectrum of the antiferromagnetic quantum honeycomb lattice
• Deriving models for the Kitaev spin-liquid candidate material $\alpha$-RuCl${}_3$ from first principles
• Ferromagnetic Exchange Anisotropy from Antiferromagnetic Superexchange in the Mixed 3d-5d Transition-Metal Compound Sr3CuIrO6
• Field-induced quantum spin liquid in the Kitaev-Heisenberg model and its relation to $\alpha$-RuCl${}_3$
• Quantum order by disorder in the Kitaev model on a triangular lattice
• Electronic excitations in the edge-shared relativistic Mott insulator: Na${}_2$IrO${}_3$
• Role of Hydrogen in the spin-orbital-entangled quantum liquid candidate H${}_3$LiIr${}_2$O${}_6$
• Theory of the Kitaev model in a [111] magnetic field
• Variational study of the Kitaev-Heisenberg-Gamma model
• Raman evidence for dimerization and Mott collapse in $\alpha$-RuCl${}_3$ under pressures
• Spin-Peierls Instability of Three-Dimensional Spin Liquids with Majorana Fermi Surfaces
• Kitaev-Heisenberg model in a magnetic field: order-by-disorder and commensurate-incommensurate transitions
• Crystal field splitting, local anisotropy, and low energy excitations in the quantum magnet YbCl${}_3$
• Mechanism of basal-plane antiferromagnetism in the spin-orbit driven iridate Ba2IrO4
• The vicinity of hyper-honeycomb $\beta$-Li2IrO3 to a three-dimensional Kitaev spin liquid state
• Magnon damping in the zigzag phase of the Kitaev-Heisenberg-$\Gamma$ model on a honeycomb lattice
• Majorana dynamical mean-field study of spin dynamics at finite temperatures in the honeycomb Kitaev model
• Ground state and low-energy excitations of the Kitaev-Heisenberg ladder
• The interplay of Dzyaloshinskii-Moriya and Kitaev interactions for magnonic properties of Heisenberg-Kitaev honeycomb ferromagnets
• Two iridates, two models, two approaches: a comparative study on magnetism in 3D honeycomb materials
• Magnetic Field Induced Spin Liquids in S=1 Kitaev Honeycomb Model
• Magnetism in spin models for depleted honeycomb-lattice iridates: Spin-glass order towards percolation
• CaMn${}_2$Sb${}_2$: Spin waves on a frustrated antiferromagnetic honeycomb lattice
• Magnetic ordering with an XY-like anisotropy in the honeycomb lattice iridates ZnIrO${}_3$ and MgIrO${}_3$ synthesized via a metathesis reaction
• Majorana-mediated spin transport without spin polarization in Kitaev quantum spin liquids
• Local Magnetism and Spin Dynamics of the Frustrated Honeycomb Rhodate Li2RhO3
• Spin excitations of a proximate Kitaev quantum spin liquid realized in Cu${}_2$IrO${}_3$
• Selection of direction of the ordered moments in Na${}_2$IrO${}_3$ and $\alpha -$RuCl${}_3$
• Unusual magnetic phases in the strong interaction limit of two-dimensional topological band insulators in transition metal oxides
• Density-Matrix Renormalization Group Study of Extended Kitaev-Heisenberg Model
• Vison Crystals in an Extended Kitaev Model on the Honeycomb Lattice
• Order-by-disorder and magnetic field response in Heisenberg-Kitaev model on a hyperhoneycomb lattice
• Predominance of the Kitaev interaction in a three-dimensional honeycomb iridate: from ab-initio to spin model
• Structural, Magnetic, and Electrical Properties of Li2Ir1-xRuxO3
• Perspective: Strongly correlated and topological states in [111] grown transition metal oxide thin films and heterostructures
• Magnetism in S=1/2 Double-Perovskites with Strong Spin-Orbit Interactions
• Ordered states in the Kitaev-Heisenberg model: From 1D chains to 2D honeycomb
• Emergent ultrafast phenomena in correlated oxides and heterostructures
• From a quasimolecular band insulator to a relativistic Mott insulator in $t_{2g}^5$ systems with a honeycomb lattice structure
• Field-induced QCD${}_3$-Chern-Simons quantum criticalities in Kitaev materials
• Revealing frustrated local moment model for pressurized hyperhoneycomb iridate: paving a way toward quantum spin liquid
• Resonant inelastic x-ray scattering operators for $t_{2g}$ orbital systems
• Spin dynamics and field-induced magnetic phase transition in the honeycomb Kitaev magnet $\alpha$-Li${}_2$IrO${}_3$
• Field-induced dynamical properties of the $XXZ$ model on a honeycomb lattice
• Modified Curie-Weiss Law for $j_{\mathrm{eff}}$ Magnets
• Magnetic field-induced evolution of intertwined orders in the Kitaev magnet $\beta$-Li${}_2$IrO${}_3$
• Strong magnetic frustration and anti-site disorder causing spin-glass behavior in honeycomb Li2RhO3
• High-pressure versus isoelectronic doping effect on the honeycomb iridate Na${}_2$IrO${}_3$
• Significant thermal Hall effect in the 3$d$ cobalt Kitaev system $N{a}_{2}C{o}_{2}Te{O}_6$
• Gapless quantum spin liquid in a honeycomb $\Gamma$ magnet
• SU(4)-symmetric spin-orbital liquids on the hyperhoneycomb lattice
• Comprehensive study of the phase diagram of the spin-1/2 Kitaev-Heisenberg-Gamma chain
• Computational design of $f$-electron Kitaev magnets: honeycomb and hyperhoneycomb compounds $A_2$PrO${}_3$ ($A=$ alkali metals)
• Robust singlet dimers with fragile ordering in two-dimensional honeycomb lattice of Li${}_2$RuO${}_3$
• Validity and limitations of the superexchange model for the magnetic properties of Sr2IrO4 and Ba2IrO4 mediated by the strong spin-orbit coupling
• Theory of a quantum spin liquid in hydrogen-intercalated honeycomb iridate, H3LiIr2O6
• Collective excitations in the tetravalent lanthanide honeycomb antiferromagnet, Na2PrO3
• $ab$-$initio$ Approaches for Low-Energy Spin Hamiltonians
• Magnetic anisotropy of the alkali iridate Na${}_2$IrO${}_3$ at high magnetic fields: evidence for strong ferromagnetic Kitaev correlations
• Analysis of the optical conductivity for A2IrO3 (A = Na, Li) from first principles
• Interlayer Coupling Effect on a Bilayer Kitaev Model
• Kitaev Quantum Spin Liquids
• Hidden Quasiparticles and Incoherent Photoemission Spectra in Na2IrO3
• Classification of spin liquids on the square lattice with strong spin-orbit coupling
• Magnetic excitation spectra in pyrochlore iridates
• The Chemical Instability of Na2IrO3 in Air
• Magnetic Raman continuum in single crystalline H${}_3$LiIr${}_2$O${}_6$
• High-resolution resonant inelastic x-ray scattering study of the electron-phonon coupling in honeycomb $\alpha$-Li${}_2$IrO${}_3$
• Novel magnetism on a honeycomb lattice in a-RuCl3 studied by muon spin rotation
• Quantum spin liquid ground states of the Heisenberg-Kitaev model on the triangular lattice
• Raman Signatures of Strong Kitaev Exchange Correlations in (Na${}_{1-x}$Li${}_x$)${}_2$IrO${}_3$ : Experiments and Theory
• Probing spinon nodal structures in three-dimensional Kitaev spin liquids
• Easy-plane multi-$\mathbf{q}$ magnetic ground state of Na${}_3$Co${}_2$SbO${}_6$
• Quantum and classical behavior of spin-$S$ Kitaev models in an anisotropic limit
• Diluted paramagnetic impurities in nonmagnetic Ba${}_2$YIrO${}_6$
• Chemical- and hydrostatic-pressure effects on the Kitaev honeycomb material Na${}_2$IrO${}_3$
• Observing spin fractionalization in the Kitaev spin liquid via temperature evolution of indirect resonant inelastic x-ray scattering
• Antiferromagnetic Slater Insulator Phase of Na2IrO3
• Vison-Majorana complex zero-energy resonance in Kitaev's spin liquid
• Computational Study of the Magnetic Structure of Na${}_2$IrO${}_3$
• Kitaev magnetism through the prism of lithium iridate
• Systematic extraction of crystal electric-field effects and quantum magnetic model parameters in triangular rare-earth magnets
• Mechanism for subgap optical conductivity in honeycomb Kitaev materials
• Easy-plane anisotropic-exchange magnets on a honeycomb lattice: quantum effects and dealing with them
• Hole propagation in the Kitaev-Heisenberg model: From quasiparticles in quantum Neel states to non-Fermi liquid in the Kitaev phase
• Kitaev Magnetism and Fractionalized Excitations in Double Perovskite Sm2ZnIrO6
• Susceptibility anisotropy and its disorder evolution in models for Kitaev materials
• Plaquette order in classical spin liquid stabilized by strong off-diagonal exchange
• Bond ordering and phase transitions in Na${}_2$IrO${}_3$ under high pressure
• Pressure-induced structural dimerization in the hyperhoneycomb iridate $\beta$-Li${}_2$IrO${}_3$ at low temperatures
• Multinode quantum spin liquids on the honeycomb lattice
• Spin orientations of the spin-half Ir4+ ions in Sr3NiIrO6, Sr2IrO4 and Na2IrO3: Density functional, perturbation theory and Madelung potential analyses
• Probing signatures of fractionalization in candidate quantum spin liquid Cu2IrO3 via anomalous Raman scattering
• Spin-gap and two-dimensional magnetic excitations in Sr2IrO4
• Two-dimensional Valence Bond Solid (AKLT) states from $t_{2g}$ electrons
• Investigation of unconventional reconstruction and electronic properties on the Na2IrO3 surface
• Ground-state phases of the spin-1 $J_1$--$J_2$ Heisenberg antiferromagnet on the honeycomb lattice
• Unconventional magnetism in the 4d${}^4$ based ($S=1$) honeycomb system Ag${}_3$LiRu${}_2$O${}_6$
• A computational method to estimate spin-orbital interaction strength in solid state systems
• Determining Kitaev interaction in spin-$S$ honeycomb Mott insulators
• Exchange interactions in $d^5$ Kitaev materials: From Na${}_2$IrO${}_3$ to $\alpha$-RuCl${}_3$
• Complex pressure-temperature structural phase diagram of honeycomb iridate Cu${}_2$IrO${}_3$
• Investigation of the spin-1 honeycomb antiferromagnet BaNi${}_2$V${}_2$O${}_8$ with easy plane anisotropy
• Ground-state phase diagram of the Kitaev-Heisenberg model on a kagome lattice
• Counter-rotating spiral order in three dimensional iridates: signature of hidden symmetry in Kitaev-$\Gamma$ model
• Topological Gapless Phases in Non-Symmorphic Antiferromagnets
• Density-Matrix Renormalization Group Study of Kitaev--Heisenberg Model on a Triangular Lattice
• Fragile magnetic order in the honeycomb lattice Iridate Na${}_2$IrO${}_3$ revealed by magnetic impurity doping
• Observation of metallic surface states in the strongly correlated Kitaev-Heisenberg candidate Na2IrO3
• Spin wave spectra of single crystal CoPS${}_3$
• Nature of Possible Magnetic Phases in Frustrated Hyperkagome Iridate
• Dynamical properties of the honeycomb-lattice Iridates $\mathrm{N}{\mathrm{a}}_2\mathrm{Ir}{\mathrm{O}}_3$
• Effect of ring-exchange interactions in the extended Kitaev honeycomb model
• Spin interaction and magnetism in cobaltate Kitaev candidate materials: an $ab$ $initio$ and model Hamiltonian approach
• Magnetic excitations in a three-orbital model for the strongly spin-orbit coupled iridates: Effect of mixing between the J=1/2 and 3/2 sectors
• Electronic and magnetic properties of iridium ilmenites $A$IrO${}_3$ ($A=$ Mg, Zn, and Mn)
• Ground state properties of $\mathrm{N}{\mathrm{a}}_2\mathrm{Ir}{\mathrm{O}}_3$ determined from $\text{ab initio}$ Hamiltonian and its extensions containing Kitaev and extended Heisenberg interactions
• Unusual spin dynamics in the low-temperature magnetically ordered state of Ag${}_3$LiIr${}_2$O${}_6$
• Fano Resonances in the Infrared Spectra of Phonons in Hyper-Kagome Na_3Ir_3O_8
• Majorana correlations in the Kitaev model with ordered-flux structures
• Magnon-spinon dichotomy in the Kitaev hyperhoneycomb $\beta$-Li${}_2$IrO${}_3$
• Three-band Hubbard model for Na${}_2$IrO${}_3$: Topological insulator, zigzag antiferromagnet, and Kitaev-Heisenberg material
• Quantum Monte Carlo Simulation of Generalized Kitaev Models
• Anisotropic Quantum Spin Hall Effect, Spin-Orbital Textures and Mott Transition
• Signatures of fractionalization in spin liquids from interlayer thermal transport
• Recent progress on magnetic-field studies on quantum-spin-liquid candidates
• Detuning the Honeycomb of the α-RuCl3 Kitaev lattice: A case of Cr3+ dopant
• Optical signature of the pressure-induced dimerization in the honeycomb iridate $\alpha$-Li${}_2$IrO${}_3$
• Photoexcited states of the harmonic honeycomb iridate γ-Li${}_2$IrO${}_3$
• Strain-induced topological transition in SrRu${}_2$O${}_6$ and CaOs${}_2$O${}_6$
• Topological and magnetic phases with strong spin-orbit coupling on the hyperhoneycomb lattice
• Flux mobility delocalization in the Kitaev spin ladder
• Ground state phase diagram of Kitaev-Heisenberg model on honeycomb-triangular lattice
• Frustration and Entanglement in Compass and Spin-Orbital Models
• Local spin structure of the $\alpha$-RuCl${}_3$ honeycomb-lattice magnet observed via muon spin rotation/relaxation
• First-principles Study on the Magnetic Interactions in Honeycomb Na2IrO3
• Topological spin liquids in the ruby lattice with anisotropic Kitaev interactions
• Residual Entropy and Spin Fractionalizations in the Mixed-Spin Kitaev Model
• Spin vestigial orders in extended Heisenberg-Kitaev models near hidden SU(2) points: Application to Na${}_2$Co${}_2$TeO${}_6$
• Geometric description of the Kitaev honeycomb lattice model
• Electronic excitations and structure of Li2IrO3 thin films grown on ZrO${}_2$:Y (001) substrates
• Magnon interactions in the quantum paramagnetic phase of CoNb${}_2$O${}_6$
• Signatures of Kitaev interactions in the van der Waals ferromagnet VI3
• Hinge Magnons from Non-collinear Magnetic Order in Honeycomb Antiferromagnet
• Pressure-induced formation of rhodium zigzag chains in the honeycomb rhodate Li${}_2$RhO${}_3$
• Probing quantum spin liquids in equilibrium using the inverse spin Hall effect
• Field evolution of low-energy excitations in the hyperhoneycomb magnet $\beta$-Li${}_2$IrO${}_3$
• Field-induced phase transitions and quantum criticality in a honeycomb antiferromagnet Na3Co2SbO6
• Emergent Criticality and Friedan Scaling in a 2D Frustrated Heisenberg Antiferromagnet
• Tuning into the Kitaev spin liquid phase:A spin model on the honeycomb lattice with two types of Heisenberg exchange couplings
• Emergent glassiness in disorder-free Kitaev model: Density matrix renormalization group study on a one-dimensional ladder setting
• Photoinduced Floquet topological magnons in Kitaev magnets
• Testing Ising Topological Order in $\alpha$-RuCl${}_3$ Under In-Plane Magnetic Fields
• Comparing the influence of Floquet dynamics in various Kitaev-Heisenberg materials
• Spin dynamics of counterrotating Kitaev spirals via duality
• Tracking local magnetic dynamics via high-energy charge excitations in a relativistic Mott insulator
• Spin wave theory of one-dimensional generalized Kitaev model
• Possible Quantum Paraelectric State in Kitaev Spin Liquid Candidate H${}_3$LiIr${}_2$O${}_6$
• Quasiparticles and charge transfer at the two surfaces of the honeycomb iridate Na${}_2$IrO${}_3$
• Heisenberg-Kitaev Models on Hyperhoneycomb and Stripyhoneycomb Lattices: 3D-2D Equivalence of Ordered States and Phase Diagrams
• Symmetry-protected gapless spin liquids on the strained honeycomb lattice
• Evolution of Magnetism in the $N{a}_{3-d}N{a}_{1-x}M{g}_{x}I{r}_2{O}_6$ Series of Honeycomb Iridates
• Topological edge states in single layers of honeycomb materials with strong spin-orbit coupling
• Phases and Quantum Phase Transitions in an Anisotropic Ferromagnetic Kitaev-Heisenberg-$\Gamma$ Magnet
• Ir 5$d$-band Derived Superconductivity in LaIr${}_3$
• Disorder effects in the Kitaev-Heisenberg model
• Compass and Kitaev models -- Theory and Physical Motivations
• Model Hamiltonian for strongly-correlated systems: Systematic, self-consistent, and unique construction
• Large off diagonal exchange couplings and spin liquid states in ${\mathbf{C}}_3$ symmetric iridates
• Thermal conductivity of local moment models with strong spin-orbit coupling
• Emergent quantum phases in a frustrated J1-J2 Heisenberg model on hyperhoneycomb lattice
• Spontaneous Chiral-Spin Ordering in Spin-Orbit Coupled Honeycomb Magnets
• Evidences for the random singlet phase in a new honeycomb iridate SrIr${}_2$O${}_{6-\delta }$
• Spin Waves and Dirac Magnons in a Honeycomb Lattice Zig-zag Antiferromagnet BaNi2(AsO4)2
• Symmetry Analysis of Tensors in the Honeycomb Lattice of Edge-Sharing Octahedra
• Optical magnons with dominant bond-directional exchange interactions in a honeycomb lattice iridate $\alpha$-Li${}_2$IrO${}_3$
• Hidden spin-orbital order in the Kitaev hyperhoneycomb $\beta$-Li${}_2$IrO${}_3$
• Lattice dynamics and structural transition of the hyperhoneycomb iridate $\beta$-Li${}_2$IrO${}_3$ investigated by high-pressure Raman scattering
• Spin liquid like Raman signatures in hyperkagome iridate Na${}_4$Ir${}_3$O${}_8$
• Pressure tuning of structure, magnetic frustration and carrier conduction in Kitaev spin liquid candidate Cu${}_2$IrO${}_3$: X-ray, Raman, magnetic susceptibility, resistivity and first-principles analysis
• Fluctuating Fractionalized Spins in Quasi Two-dimensional Magnetic V0.85PS3
• Phonon Dynamics in the Generalized Kitaev Spin Liquid
• Machine learning search for stable binary Sn alloys with Na, Ca, Cu, Pd, and Ag
• Large-$s$ expansions for the low-energy parameters of the honeycomb-lattice Heisenberg antiferromagnet with spin quantum number $s$
• Multiple field-induced phases in the frustrated triangular magnet Cs${}_3$Fe${}_2$Br${}_9$
• Spin-orbit coupling in octamers in a spinel sulfide CuIr${}_2$S${}_4$: Competition between spin-singlet and quadrupolar states, and its relevance to remnant paramagnetism
• The Insulating Nature of Na2IrO3: Mott-type or Slater-type?
• Dynamics of fractionalized mean-field theories: consequences for Kitaev materials
• Single-hole spectra of Kitaev spin liquids: from dynamical Nagaoka ferromagnetism to spin-hole fractionalization
• Magnetic-field Induced Topological Transitions and Thermal Conductivity in a Generalized Kitaev Model
• Asymmetric dynamics of edge exchange spin waves in honeycomb nanoribbons with zigzag and bearded edges boundaries
• Non-collinear Order and Spin-Orbit Coupling in Sr${}_3$ZnIrO${}_6$
• "Switching" of Magnetic Anisotropy in a fcc Antiferromagnet with Direction-Dependent Interactions
• Frustration induced non-Curie-Weiss paramagnetism in La3Ir3O11: a fractional-valence-state iridate
• Magnetic properties of a spin-orbit entangled Jeff = 1/2 honeycomb lattice
• Quantum dimer model containing Rokhsar-Kivelson point expressed by spin-1/2 Heisenberg antiferromagnets
• Spin liquid fingerprints in the thermal transport of a Kitaev-Heisenberg ladder
• Sign Changes in Heat, Spin, and Orbital Magnon Transport Coefficients in Kitaev Ferromagnets
• Quantum phase transition between spin liquid and spin nematics in spin-1 Kitaev honeycomb model
• The origin of exciton mass in a frustrated Mott insulator Na${}_2$IrO${}_3$
• Stabilization and modulation of the topological magnetic phase with a $Z_2$-vortex lattice in the Kitaev-Heisenberg honeycomb model: The key role of the third-nearest-neighbor interaction
• Perturbed Kitaev model: excitation spectrum and long-ranged spin correlations
• On the multi-$\mathbf{q}$ characteristics of magnetic ground states of honeycomb cobalt oxides
• Magnetic order and spin excitations in the Kitaev--Heisenberg model on the honeycomb lattice
• Hydrostatic pressure effect on Co-based honeycomb magnet BaCo2(AsO4)2
• Majorana Fermion Mean-Field Theories of Kitaev Quantum Spin Liquids
• Dielectric Evidence for Possible Type-II Multiferroicity in alpha-RuCl3
• Engineering the Kitaev spin liquid in a quantum dot system
• Frustrated Heisenberg antiferromagnet on the honeycomb lattice with spin quantum number $s\ge 1$
• Magnetism and field-induced effects in the S = 5/2 honeycomb lattice antiferromagnet FeP3SiO11
• Spin waves and stability of zigzag order in the Hubbard model with spin-dependent hopping terms - Application to the honeycomb lattice compounds $\mathrm{N}{\mathrm{a}}_2\mathrm{Ir}{\mathrm{O}}_3$ and $\alpha -\mathrm{RuC}{\mathrm{l}}_3$
• Anisotropic antiferromagnetic order in spin-orbit coupled trigonal lattice Ca2Sr2IrO6
• Kitaev quasiparticles in a proximate spin liquid: A many-body localization perspective
• Chiral spin state and nematic ferromagnet in the spin-1 Kitaev-$\Gamma$ model
• Anomalous ferromagnetic behavior in the orthorhombic Li${}_3$Co${}_2$SbO${}_6$
• Role of disorder in the electronic and magnetic properties of Ag${}_3$LiIr${}_2$O${}_6$
• Kinetic Ferromagnetism and Topological Magnons of the Hole-Doped Kitaev Spin Liquid
• Chemical tuning between triangular and honeycomb structures in a 5$d$ spin-orbit Mott insulator
• Cobalt-Based Pyroxenes: A New Playground for Kitaev Physics and Ising Model Realization
• Multinode quantum spin liquids in extended Kitaev honeycomb models: the view from variational Monte Carlo
• Chirality-induced magnon transport in AA-stacked bilayer honeycomb chiral magnets
• Soft-Chemical Synthesis, Structure Evolution, and Insulator-to-Metal Transition in a Prototypical Metal Oxide, λ-RhO${}_2$
• Nature of Topological Phase Transition of Kitaev Quantum Spin Liquids
• Equivalence between vortices, twists and chiral gauge fields in Kitaev's honeycomb lattice model
• First order density wave like transitions in surface doped Na${}_2$IrO${}_3$
• Projective-symmetry-group analysis of inelastic light scattering in Kitaev spin balls
• Dynamic structure factor of the antiferromagnetic Kitaev model in large magnetic fields
• Phonon Dynamics in the Chiral Kitaev Spin Liquid
• High-temperature magnetic anomaly via suppression of antisite disorder through synthesis route modification in a Kitaev candidate Cu${}_2$IrO${}_3$
• Proximity-induced sequence of field transitions in Kitaev candidate BaCo${}_2$(AsO${}_4$)${}_2$
• Dynamic Surface Modification due to Effusion of Na in Na${}_2$IrO${}_3$
• Simulating spin systems with Majorana networks
• Collective excitations in Na${}_2$IrO${}_3$
• Phase transition of two-dimensional Ising models on the honeycomb and related lattices with striped random impurities
• Effective Model for Rare-earth Kitaev Materials and its Classical Monte Carlo Simulation
• Phase diagram and thermal Hall conductivity of spin-liquid Kekulé-Kitaev model
• Impact of disorder on dynamics and ordering in the honeycomb lattice iridate Na${}_2$IrO${}_3$
• Minimal models of $\alpha$-Li${}_2$IrO${}_3$: On the range of the interactions, ground state properties, and magnetization processes
• Conductivity of Dirac-like surface states in correlated honeycomb transition metal oxide Mott insulators
• Emergence of a Dimer-Dimer Interaction in the Low-Energy Effective Quantum-Dimer Model of a Diamond-Like-Decorated Square-Lattice Heisenberg Antiferromagnets with Further Neighbor Couplings
• Dynamics of a single hole in the Heisenberg-Kitaev model: a self-consistent Born approximation study
• Thermal Hall conductivity with sign change in the Heisenberg-Kitaev kagome magnet
• Emergence of bond-dependent highly anisotropic magnetic interactions in Sr${}_4$RhO${}_6$: a theoretical study
• Phase diagram for Hole-Doped Kitaev System on the Honeycomb Lattice
• Pairing tendencies in the doped Kitaev-Heisenberg model
• The ground state in a proximity to a possible Kitaev spin liquid: An undistorted honeycomb iridate NaxIrO3 (0.60 < x < 0.80)
• Complex orders and chirality in the classical Kitaev-$\Gamma$ model
• Kitaev's exact solution approximated
• Density wave like transport anomalies in surface doped Na${}_2$IrO${}_3$
• Low-energy spin dynamics in a Kitaev material Na3Ni2BiO6 investigated by NMR
• Hybrid Local-Order Mechanism for Inversion Symmetry Breaking
• Chirality-selective topological magnon phase transition induced by interplay of anisotropic exchange interactions in honeycomb ferromagnet
• The free energy of anisotropic quantum spin systems: Functional integral representation
• Spin and charge order in doped spin-orbit coupled Mott insulators
• A $j_{\mathrm{eff}}=1/2$ pseudospinon continuum in CaIrO${}_3$
• Ground-state phase diagram of anisotropically interacting Heisenberg-$\Gamma$ models on a honeycomb lattice
• Majorana Gap Formation in the Anisotropic Kitaev Model with Ordered Flux Configuration
• A primer on Kitaev Model: Basic aspects, material realization, and recent experiments
• Topological quantum phase transitions of anisotropic AFM Kitaev model driven by magnetic field
• Real-time control of non-Abelian anyons in Kitaev spin liquid under energy dissipation
• Coupled spin-1/2 antiferromagnetic chain Cs${}_2$LiRuCl${}_6$ with partially disordered crystal lattice
• Coexistence of static and dynamic local magnetic fields in an S = 3/2 honeycomb lattice antiferromagnet Co2Te3O8
• Field-induced phase transitions in the Kitaev-Heisenberg model: A sign-problem-free quantum Monte Carlo study and possible application to $\alpha$-RuCl3
• Pressure-dependent magnetism of the Kitaev candidate Li${}_2$RhO${}_3$
• Quantum gap and spin-wave excitations in the Kitaev model on a triangular lattice
• Temperature-dependent magnetic anisotropy from directional-dependent interactions
• Computational exploration of a viable route to Kitaev-quantum spin liquid phase in OsCl${}_3$
• Enhanced Magnetism and Phase Transitions in Ultrathin Quantum Spin Liquid Na2IrO3 Flakes
• Nature of the Topological Transition of the Kitaev Model in [111] Magnetic Field
• Signatures of a Majorana-Fermi surface in the Kitaev magnet Ag${}_3$LiIr${}_2$O${}_6$
• Novel synthesis method of nonstoichiometric Na2-xIrO3. Crystal structure, transport and magnetic properties
• Dynamical Response of the Kitaev Spin Liquid under Third-Nearest-Neighbor Heisenberg Interaction
• A comparative study of $2d$ Ising model at different boundary conditions using non-deterministic Hexagonal Cellular Automata
• Nesting instability of gapless U(1) spin liquids with spinon Fermi pockets in two dimensions
• Strategy to Extract Kitaev Interaction using Symmetry in Honeycomb Mott Insulators
• Tuning the Chern number of Kitaev quantum spin liquid
• Phases and Quantum Phase Transitions in Anisotropic Antiferromagnetic Kitaev-Heisenberg-$\Gamma$ magnet
• Multiple topological phases of magnons induced by Dzyaloshinskii-Moriya and pseudodipolar anisotropic exchange interactions in Kagome ferromagnets
• More bridging ligands activate direct exchange: the case of anisotropic Kitaev effective magnetic interactions
• Dynamics of magnetic collective modes in the square and triangular lattice Mott insulators at finite temperature
• Coupled dimerized alternating-bond quantum spin chains in the distorted honeycomb-lattice magnet Cu${}_5$SbO${}_6$
• Magnetic excitations in the Kitaev material Na${}_2$IrO${}_3$ studied by neutron scattering
• The Role of the Third Dimension in Searching Majorana Fermions in $\alpha$-RuCl${}_3$ via Phonons
• Non-van der Waals honeycomb antiferromagnet SrRu${}_2$O${}_6$ down to a few layers
• Metallic conductivity on Na-deficient structural domain walls in the spin-orbit Mott insulator Na${}_2$IrO${}_3$