On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3

Abstract

We explore the phase diagram of spin-orbit Mott insulators on a honeycomb lattice, within the Kitaev-Heisenberg model extended to its full parameter space. Zigzag-type magnetic order is found to occupy a large part of the phase diagram of the model, and its physical origin is explained as due to interorbital t2g-eg hopping. Magnetic susceptibility and spin wave spectra are calculated and compared to the experimental data, obtaining thereby the spin coupling constants in Na2IrO3 and Li2IrO3.

5 pages, 4 figures

References in corpus (9)

• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Quantum spin Hall effect in a transition metal oxide Na2IrO3
• Long range magnetic ordering in Na${}_2$IrO${}_3$
• Na2IrO3 as a spin-orbit-assisted antiferromagnetic insulator with a 340 meV gap
• Possible proximity of the Mott insulating Iridate Na2IrO3 to a topological phase: Phase diagram of the Heisenberg-Kitaev model in a magnetic field
• Spin-orbit effects in Na${}_4$Ir${}_3$O${}_8$, a hyper-kagomé lattice antiferromagnet
• Giant Magnon Gap in Bilayer Iridate Sr3Ir2O7: Enhanced Pseudo-dipolar Interactions Near the Mott Transition
• Magnetic ordering phenomena of interacting quantum spin Hall models
• Ab initio determination of excitation energies and magnetic couplings in correlated, quasi two-dimensional iridates

Cited by in corpus (212)

• $\alpha$-RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
• Models and Materials for Generalized Kitaev Magnetism
• 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
• 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-wave excitations evidencing the Kitaev interaction in single crystalline $\alpha$-RuCl${}_3$
• Kitaev-Heisenberg Hamiltonian for High-Spin $d^7$ Mott Insulators
• Anisotropic Ru3+ 4d5 magnetism in the alpha-RuCl3 honeycomb system: susceptibility, specific heat and Zero field NMR
• 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${}_3$
• Possible Kitaev Quantum Spin Liquid State in 2D Materials with S=3/2
• Microscopic mechanism for higher-spin Kitaev model
• 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 anisotropy in the Kitaev model systems Na2IrO3 and RuCl3
• Weak-field induced nonmagnetic state in a Co-based honeycomb
• Importance of anisotropic exchange interactions in honeycomb iridates. Minimal model for zigzag antiferromagnetic order in Na${}_2$IrO${}_3$
• Theory of the field-revealed Kitaev spin liquid
• Spin-orbit physics of j=1/2 Mott insulators on the triangular lattice
• Square Lattice Iridates
• Spin-orbit phase behaviors of Na2Co2TeO6 at low temperatures
• Spiral order in the honeycomb iridate Li2IrO3
• Physical states and finite-size effects in Kitaev's honeycomb model: Bond disorder, spin excitations, and NMR lineshape
• Proximate ferromagnetic state in the Kitaev model material $\alpha$-RuCl${}_3$
• Theory of Magnetic Phase Diagrams in Hyperhoneycomb and Harmonic-honeycomb Iridates
• Field-induced intermediate ordered phase and anisotropic interlayer interactions in $\alpha$-RuCl${}_3$
• Microscopic origin of ferromagnetism in trihalides CrCl${}_3$ and CrI${}_3$
• Unified theory of spiral magnetism in the harmonic-honeycomb iridates α, β, γ Li2IrO3
• Electronic Structure of the Kitaev Material $\alpha$-${\text{RuCl}}_3$ Probed by Photoemission and Inverse Photoemission Spectroscopies
• Phase diagram and spin correlations of the Kitaev-Heisenberg model: Importance of quantum effects
• Excitations in the ordered and paramagnetic states of honeycomb magnet Na2Co2TeO6
• Kitaev materials beyond iridates: order by quantum disorder and Weyl magnons in rare-earth double perovskites
• Beyond Kitaev physics in strong spin-orbit coupled magnets
• Comprehensive study of the dynamics of a classical Kitaev spin liquid
• Magnetic Couplings in Edge-Sharing High-Spin $d^7$ Compounds
• Lattice-Tuned Magnetism of Ru4+(4d4) Ions in Single-Crystals of the Layered Honeycomb Ruthenates: Li2RuO3 and Na2RuO3
• Short-range correlations in the magnetic ground state of Na4Ir3O8
• 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
• Spin-orbital entangled state and realization of Kitaev physics in 3d cobalt compounds: a progress report
• Kitaev-like honeycomb magnets: Global phase behavior and emergent effective models
• Effect of nonmagnetic dilution in honeycomb lattice iridates Na${}_2$IrO${}_3$ and Li${}_2$IrO${}_3$
• Confinement-Deconfinement Transition as an Indication of Spin-Liquid-Type Behavior in Na${}_2$IrO${}_3$
• Magnetic anisotropy reversal driven by structural symmetry-breaking in monolayer α-RuCl3
• Giant magnetic in-plane anisotropy and competing instabilities in Na3Co2SbO6
• Thermodynamic and Transport Properties in Disordered Kitaev Models
• Hidden multipolar orders of dipole-octupole doublets on a triangular lattice
• Dynamics of visons and thermal Hall effect in perturbed Kitaev models
• Variational study of the Kitaev-Heisenberg-Gamma model
• Non-Kitaev vs. Kitaev Honeycomb Cobaltates
• Magnetic Excitations in Spin-Orbit Coupled $d^4$ Mott Insulator on Square Lattice
• Triple-q order in Na${}_2$Co${}_2$TeO${}_6$ from proximity to hidden-SU(2)-symmetric point
• Magnetoelastic coupling and effects of uniaxial strain in $\alpha$-RuCl${}_3$ from first principles
• Unveiling the S=3/2 Kitaev Honeycomb Spin Liquids
• Magnon damping in the zigzag phase of the Kitaev-Heisenberg-$\Gamma$ model on a honeycomb lattice
• 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
• Spin excitations of a proximate Kitaev quantum spin liquid realized in Cu${}_2$IrO${}_3$
• Low-temperature magnetism in the honeycomb systems SrLn2O4
• Towards Kitaev Spin Liquid in 3d Transition Metal Compounds
• Unveiling the phase diagram of a bond-alternating spin-$\frac{1}{2}$ $K$-$\Gamma$ chain
• Density-Matrix Renormalization Group Study of Extended Kitaev-Heisenberg Model
• Thermal transport in a two-dimensional ${\mathbb{Z}}_2$ spin liquid
• Emergent ultrafast phenomena in correlated oxides and heterostructures
• Modified Curie-Weiss Law for $j_{\mathrm{eff}}$ Magnets
• Magnetic excitations of the field induced states in BaCo2(AsO4)2 probed by time-domain terahertz spectroscopy
• Revealing frustrated local moment model for pressurized hyperhoneycomb iridate: paving a way toward quantum spin liquid
• Collective excitations in the tetravalent lanthanide honeycomb antiferromagnet, Na2PrO3
• Observation of a random singlet state in a diluted Kitaev honeycomb material
• Inverse Faraday effect in Mott insulators
• Unconventional pairing and electronic dimerization instabilities in the doped Kitaev-Heisenberg model
• Anisotropic exchange coupling and ground state phase diagram of Kitaev compound YbOCl
• Ground-state phase diagram of spin-$S$ Kitaev-Heisenberg models
• Quantum phase transitions in exactly solvable one-dimensional compass models
• Kitaev Quantum Spin Liquids
• Benchmarking variational quantum eigensolvers for the square-octagon-lattice Kitaev model
• Spin dynamics in the Kitaev model with disorder: Quantum Monte Carlo study of dynamical spin structure factor, magnetic susceptibility, and NMR relaxation rate
• Universal Thermodynamics in the Kitaev Fractional Liquid
• Light-Induced Control of Magnetic Phases in Kitaev Quantum Magnets
• Probing spinon nodal structures in three-dimensional Kitaev spin liquids
• Structural, electronic, and magnetic properties of nearly-ideal $J_{\mathrm{eff}}$ $=$ 1/2 iridium halides
• Model analysis of magnetic susceptibility of Sr${}_2$IrO${}_4$ - 2D $J_{\mathrm{eff}}$ = 1/2 Heisenberg system with competing interlayer couplings
• An Exact Chiral Amorphous Spin Liquid
• Possible Intermediate Quantum Spin Liquid Phase in $\alpha$-RuCl${}_3$ under High Magnetic Fields up to 100 T
• Easy-plane anisotropic-exchange magnets on a honeycomb lattice: quantum effects and dealing with them
• Highly frustrated magnetism in relativistic ${\mathbf{d}}^4$ Mott insulators: Bosonic analog of Kitaev honeycomb model
• Field-angle dependence of thermal Hall conductivity in magnetically ordered Kitaev-Heisenberg system
• Phase diagram of interacting spinless fermions on the honeycomb lattice
• High temperature thermodynamics of the honeycomb-lattice Kitaev-Heisenberg model: A high temperature series expansion study
• Exchange interactions in $d^5$ Kitaev materials: From Na${}_2$IrO${}_3$ to $\alpha$-RuCl${}_3$
• Comprehensive study of the global phase diagram in the triangular $J$-$K$-$\Gamma$ model
• Unquantized thermal Hall effect in quantum spin liquids with spinon Fermi surfaces
• Lattice frustration in spin-orbit Mott insulator Sr3Ir2O7 at high pressure
• Magnetoelectric generation of a Majorana-Fermi surface in Kitaev's honeycomb model
• Thermal anyon interferometry in phonon-coupled Kitaev spin liquids
• NMR Investigation on Honeycomb Iridate Ag${}_3$LiIr${}_2$O${}_6$
• Unusual spin dynamics in the low-temperature magnetically ordered state of Ag${}_3$LiIr${}_2$O${}_6$
• Quantum liquids of the S=3/2 Kitaev honeycomb and related Kugel-Khomskii models
• Quantum Monte Carlo Simulation of Generalized Kitaev Models
• Successive spin-flop transitions of Neel-type antiferromagnet Li${}_2$MnO${}_3$ single crystal with honeycomb-lattice
• Low temperature properties in the Bilayer Kitaev model
• Evidence for magnetic fractional excitations in a Kitaev quantum-spin-liquid candidate $\alpha$-RuCl${}_3$
• Field evolution of magnetic phases and spin dynamics in the honeycomb lattice magnet Na2Co2TeO6: 23Na NMR study
• Phononic-magnetic dichotomy of the thermal Hall effect in the Kitaev-Heisenberg candidate material Na${}_2$Co${}_2$TeO${}_6$
• Emergent orbital magnetization in Kitaev quantum magnets
• Quantum phase transitions in the spin-1 Kitaev-Heisenberg chain
• Spin vestigial orders in extended Heisenberg-Kitaev models near hidden SU(2) points: Application to Na${}_2$Co${}_2$TeO${}_6$
• Non-Kitaev spin liquids in Kitaev materials
• Thermodynamics of 3D Kitaev quantum spin liquids via tensor networks
• Frustration and Entanglement in Compass and Spin-Orbital Models
• Fermionic approach to variational quantum simulation of Kitaev spin models
• Spin-$S$ Kitaev-Heisenberg model on the honeycomb lattice: A high-order treatment via the many-body coupled cluster method
• Photoinduced Floquet topological magnons in Kitaev magnets
• Upper branch magnetism in quantum magnets: Collapses of excited levels and emergent selection rules
• Resonant inelastic x-ray scattering spectra in the hyperhoneycomb iridate $\beta$-Li${}_2$IrO${}_3$: First principles calculations
• Spin wave theory of one-dimensional generalized Kitaev model
• Quasiparticles and charge transfer at the two surfaces of the honeycomb iridate Na${}_2$IrO${}_3$
• Symmetry analysis of bond-alternating Kitaev spin chains and ladders
• Acoustic phonon dispersion of $\alpha$-RuCl${}_3$
• Disorder effects in the Kitaev-Heisenberg model
• Ferrimagnetism from triple-q order in Na${}_2$Co${}_2$TeO${}_6$
• Emergent quantum phases in a frustrated J1-J2 Heisenberg model on hyperhoneycomb lattice
• Optical magnons with dominant bond-directional exchange interactions in a honeycomb lattice iridate $\alpha$-Li${}_2$IrO${}_3$
• Ground State Magnetic Structure and Magnetic Field Effects in the Layered Honeycomb Antiferromagnet YbOCl
• Linear response theories for interatomic exchange interactions
• Thermal conductivity of local moment models with strong spin-orbit coupling
• Spin excitations and thermodynamics of the antiferromagnetic Heisenberg model on the layered honeycomb lattice
• Lattice dynamics and structural transition of the hyperhoneycomb iridate $\beta$-Li${}_2$IrO${}_3$ investigated by high-pressure Raman scattering
• Phonon Dynamics in the Generalized Kitaev Spin Liquid
• Scattering phenomena for spin transport in Kitaev spin liquid
• Chiral phonons induced from spin dynamics via magnetoelastic anisotropy
• 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${}_6$
• Kitaev-Heisenberg model on the star lattice: From chiral Majorana fermions to chiral triplons
• Quantum phase transition between spin liquid and spin nematics in spin-1 Kitaev honeycomb model
• Ground-State Phase Diagram of the Kitaev-Heisenberg Model on a Three-dimensional Hyperhoneycomb Lattice
• Sign Changes in Heat, Spin, and Orbital Magnon Transport Coefficients in Kitaev Ferromagnets
• Origin of nonsymmorphic bosonization formulas in generalized antiferromagnetic Kitaev spin-$\frac{1}{2}$ chains from a renormalization-group perspective
• Long-range anisotropic Heisenberg ferromagnets and electrically tunable ordering
• Probing critical spin fluctuations with a composite magnetoelectric method: A case study on a Kitaev spin liquid candidate Na${}_3$Co${}_2$SbO${}_6$
• On the multi-$\mathbf{q}$ characteristics of magnetic ground states of honeycomb cobalt oxides
• Field-driven spatiotemporal manipulation of Majorana zero modes in a Kitaev spin liquid
• Bound states of fractionalized excitations in a modulated Kitaev spin liquid
• Interplay of magnetic field and trigonal distortion in the honeycomb $\Gamma$ model: Occurrence of a spin-flop phase
• Role of disorder in the electronic and magnetic properties of Ag${}_3$LiIr${}_2$O${}_6$
• Interedge spin resonance in the Kitaev quantum spin liquid
• Kinetic Ferromagnetism and Topological Magnons of the Hole-Doped Kitaev Spin Liquid
• Energy dynamics in a generalized compass chain
• Exploration of trivial and non-trivial electronic phases and of collinear and non-collinear magnetic phases in low-spin d${}^5$ perovskites
• $J_{\mathrm{eff}}$ = 1/2 Hyperoctagon Lattice in Cobalt Oxalate Metal-Organic-Framework
• Long-range order in the XY model on the honeycomb lattice
• Nonsymmorphic bosonization in one-dimensional generalized Kitaev spin-1/2 models
• Crystalline electric field excitations and their nonlinear splitting under magnetic fields in YbOCl
• Proximity-induced sequence of field transitions in Kitaev candidate BaCo${}_2$(AsO${}_4$)${}_2$
• Projective-symmetry-group analysis of inelastic light scattering in Kitaev spin balls
• Left-left-right-right magnetic order in spin-1/2 Kitaev-Heisenberg chain
• 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
• Emergent SU(2)${}_1$ conformal symmetry in the spin-1/2 Kitaev-Gamma chain with a Dzyaloshinskii-Moriya interaction
• Non-local features of the spin-orbit exciton in Kitaev materials
• Dynamic structure factor of the antiferromagnetic Kitaev model in large magnetic fields
• Chiral bosonic quantum spin liquid in the integer-spin Heisenberg-Kitaev model
• Induction of Large Magnetic Anisotropy Energy and Formation of Multiple Dirac States in SrIrO${}_3$ Films: Role of correlation and spin-orbit coupling
• Dominant Kitaev interaction and field-induced quantum phase transitions in triangular-lattice KCeSe2
• Pressure tuning of competing interactions on a honeycomb lattice
• Thermal Hall conductivity with sign change in the Heisenberg-Kitaev kagome magnet
• Exchange Interactions in Rare-earth Magnets $A_2$PrO${}_3$ ($A$= alkali metals): Revisited
• Static and dynamical magnetic properties of the extended Kitaev-Heisenberg model with spin vacancies
• Spectrum of the hole excitation in spin-orbit Mott insulator Na${}_2$IrO${}_3$
• Ferrimagnetism from quantum fluctuations in Kitaev materials
• Néel Ordering in the Distorted Honeycomb Pyrosilicate: C-Er${}_2$Si${}_2$O${}_7$
• Monoclinic distortion in hyperhoneycomb Kitaev material $\beta$-ZnIrO${}_3$ revealed by improved sample quality
• The ground state in a proximity to a possible Kitaev spin liquid: An undistorted honeycomb iridate NaxIrO3 (0.60 < x < 0.80)
• Pairing tendencies in the doped Kitaev-Heisenberg model
• Complex orders and chirality in the classical Kitaev-$\Gamma$ model
• The nature of low-temperature spin-freezing in frustrated Kitaev magnets
• Valence-Bond Solid phases in the spin-$1/2$ Kekule-Heisenberg model
• Real-time control of non-Abelian anyons in Kitaev spin liquid under energy dissipation
• Vacancies in generic Kitaev spin liquids
• Eleven Competing Phases in the Heisenberg-Gamma (J$\Gamma$) Ladder
• Formulation of spin Nernst effect for spin-nonconserving insulating magnets
• Assembling Kitaev honeycomb spin liquids from arrays of 1D symmetry protected topological phases
• Topological Majorana flat bands in the Kitaev model on a Bishamon-kikko lattice
• Quantum spin models of commensurate $p$-wave magnets
• Ground-state phase diagram of anisotropically interacting Heisenberg-$\Gamma$ models on a honeycomb lattice
• Coupled spin-1/2 antiferromagnetic chain Cs${}_2$LiRuCl${}_6$ with partially disordered crystal lattice
• A $j_{\mathrm{eff}}=1/2$ pseudospinon continuum in CaIrO${}_3$
• Quantum phase transitions in the Kitaev--Heisenberg model on a single hexagon
• Kitaev interactions in the van der Waals antiferromagnet VBr3
• Schwinger boson theory for $S=1$ Kitaev quantum spin liquids
• Emergent gapless spiral phases and conformal Lifshitz criticality in the cluster Ising model with off-diagonal interactions
• Tuning magnetic interactions with nonequilibrium optical phonon populations: a theoretical study
• Enhanced Magnetism and Phase Transitions in Ultrathin Quantum Spin Liquid Na2IrO3 Flakes
• Field-induced phase transitions in the Kitaev-Heisenberg model: A sign-problem-free quantum Monte Carlo study and possible application to $\alpha$-RuCl3
• Scale-invariant magnetic anisotropy in $\alpha$-RuCl${}_3$: A quantum Monte Carlo study
• Quantum Phase Transitions in Skewed Ladder Systems
• Understanding the magnetic interactions of the zig-zag honeycomb lattice: Application to $\alpha$-RuCl${}_3$
• Real-space spectral simulation of quantum spin models: Application to generalized Kitaev models
• Finite-Size Spectral Signatures of Order by Quantum Disorder: A Perspective from Anderson's Tower of States
• Disorder, Low-Energy Excitations, and Topology in the Kitaev Spin Liquid
• Magnetic field effects on the Kitaev model coupled to environment
• Emergence of topological defects and spin liquid in a two-orbital spin-fermion model on the honeycomb lattice
• Kitaev interaction and possible spin liquid state in CoI2 and Co2/3Mg1/3I2
• Ground State Properties of the Doped Kitaev-Heisenberg Chain: Topological Superconducting and Mott Insulating Phases Driven by Magnetic Frustration
• Dynamical Response of the Kitaev Spin Liquid under Third-Nearest-Neighbor Heisenberg Interaction
• Negative sign free formulations of generalized Kitaev models with higher symmetries
• Strategy to Extract Kitaev Interaction using Symmetry in Honeycomb Mott Insulators
• Magnetic excitations in the Kitaev material Na${}_2$IrO${}_3$ studied by neutron scattering
• Ligand-SOC enhanced $4f^5$ Kitaev antiferromagnet: Application to ${\mathrm{SmI}}_3$
• Potential-tuned magnetic switches and half-metallicity transition in zigzag graphene nanoribbons
• Honeycomb-lattice Gamma model in a magnetic field: hidden Néel order and spin-flop transition
• Nesting instability of gapless U(1) spin liquids with spinon Fermi pockets in two dimensions