Kitaev-Heisenberg-J2-J3 model for the iridates A2IrO3

Abstract

A Kitaev-Heisenberg-J2-J3 model is proposed to describe the Mott-insulating layered iridates A2IrO3 (A=Na,Li). The model is a combination of the Kitaev honeycomb model and the Heisenberg model with all three nearest neighbor couplings J1, J2 and J3. A rich phase diagram is obtained at the classical level, including the experimentally suggested zigzag ordered phase; as well as the stripy phase, which extends from the Kitaev-Heisenberg limit to the J1-J2-J3 one. Combining the experimentally observed spin order with the optimal fitting to the uniform magnetic susceptibility data gives an estimate of possible parameter values, which in turn reaffirms the necessity of including both the Kitaev and farther neighbor couplings.

4+epsilon pages, 3 figures, 1 table. Published version

References in corpus (8)

• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• The ALPS project release 1.3: open source software for strongly correlated systems
• Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
• Quantum spin Hall effect in a transition metal oxide Na2IrO3
• Long range magnetic ordering in Na${}_2$IrO${}_3$
• Possible proximity of the Mott insulating Iridate Na2IrO3 to a topological phase: Phase diagram of the Heisenberg-Kitaev model in a magnetic field
• The frustrated Heisenberg antiferromagnet on the honeycomb lattice: A candidate for deconfined quantum criticality
• Effective models for gapped phases of strongly correlated quantum lattice models

Cited by in corpus (149)

• Quantum Spin Liquid States
• Correlated quantum phenomena in the strong spin-orbit regime
• 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
• Generic spin model for the honeycomb iridates beyond the Kitaev limit
• Models and Materials for Generalized Kitaev Magnetism
• Spin waves and revised crystal structure of honeycomb iridate Na2IrO3
• On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3
• Challenges in Design of Kitaev Materials: Magnetic Interactions from Competing Energy Scales
• 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
• 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${}_3$
• 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
• Kitaev interactions between j=1/2 moments in honeycomb Na2IrO3 are large and ferromagnetic: insights from ab initio quantum chemistry calculations
• 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${}_3$
• First-Principles Study of the Honeycomb-Lattice Iridates Na2IrO3 in the Presence of Strong Spin-Orbit Interaction and Electron Correlations
• Hidden symmetries of the extended Kitaev-Heisenberg model: Implications for honeycomb lattice iridates A2IrO3
• Field-induced quantum criticality in the Kitaev system $\alpha$-RuCl${}_3$
• Emergence of a Field-Driven U(1) Spin Liquid in the Kitaev Honeycomb Model
• Doping a spin-orbit Mott Insulator: Topological Superconductivity from the Kitaev-Heisenberg Model and possible application to (Na2/Li2)IrO3
• Recent progress on correlated electron systems with strong spin-orbit coupling
• Kitaev-Heisenberg models for iridates on the triangular, hyperkagome, kagome, fcc, and pyrochlore lattices
• 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
• Three dimensional quantum spin liquids in models of harmonic-honeycomb iridates and phase diagram in an infinite-D approximation
• Importance of anisotropic exchange interactions in honeycomb iridates. Minimal model for zigzag antiferromagnetic order in Na${}_2$IrO${}_3$
• Rethinking $\alpha$-RuCl${}_3$
• Antiferromagnetic Kitaev interaction in $J_\rm{eff}=1/2$ cobalt honeycomb materials Na${}_3$Co${}_2$SbO${}_6$ and Na${}_2$Co${}_2$TeO${}_6$
• 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${}_6$
• Quantum Phase Transition in Heisenberg-Kitaev Model
• Spin-orbit phase behaviors of Na2Co2TeO6 at low temperatures
• Honeycomb Layered Oxides: Structure, Energy Storage, Transport, Topology and Relevant Insights
• Phase Diagram and Quantum Order by Disorder in the Kitaev $K_1$-$K_2$ Honeycomb Magnet
• Designing Kitaev spin liquids in metal-organic frameworks
• Spiral order in the honeycomb iridate Li2IrO3
• Proximate ferromagnetic state in the Kitaev model material $\alpha$-RuCl${}_3$
• Spin-Orbital Locking, Emergent Pseudo-Spin, and Magnetic order in Honeycomb Lattice Iridates
• Theory of Magnetic Phase Diagrams in Hyperhoneycomb and Harmonic-honeycomb Iridates
• Strongly frustrated triangular spin lattice emerging from triplet dimer formation in honeycomb Li2IrO3
• Field-induced intermediate ordered phase and anisotropic interlayer interactions in $\alpha$-RuCl${}_3$
• Unified theory of spiral magnetism in the harmonic-honeycomb iridates α, β, γ Li2IrO3
• Static and dynamic magnetic properties of honeycomb lattice antiferromagnets Na${}_2{M}_2$TeO${}_6$, $M$ = Co and Ni
• Phase diagram and spin correlations of the Kitaev-Heisenberg model: Importance of quantum effects
• Doped Mott Insulators in (111) Bilayers of Perovskite Transition-Metal Oxides with a Strong Spin-Orbit Coupling
• Excitations in the ordered and paramagnetic states of honeycomb magnet Na2Co2TeO6
• Global phase diagram of a doped Kitaev-Heisenberg model
• Competition between d-wave and topological p-wave superconductivity in the doped Kitaev-Heisenberg model
• XY magnetism, Kitaev exchange, and long-range frustration in the $J_{\mathrm{eff}}=1/2$ honeycomb cobaltates
• Ab initio determination of excitation energies and magnetic couplings in correlated, quasi two-dimensional iridates
• 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
• 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
• Global phase diagram, possible chiral spin liquid and topological superconductivity in the triangular Kitaev-Heisenberg model
• Heat capacity evidence for proximity to the Kitaev QSL in A${}_2$IrO${}_3$ ($A=$ Na, Li)
• Strong effect of hydrogen order on magnetic Kitaev interactions in H${}_3$LiIr${}_2$O${}_6$
• Giant magnetic in-plane anisotropy and competing instabilities in Na3Co2SbO6
• Magnetic Orders Proximal to the Kitaev Limit in Frustrated Triangular Systems: Application to Ba${}_3$IrTi${}_2$O${}_9$
• Heisenberg-Kitaev model in a magnetic field: $1/S$ expansion
• Deriving models for the Kitaev spin-liquid candidate material $\alpha$-RuCl${}_3$ from first principles
• Quantum order by disorder in the Kitaev model on a triangular lattice
• Electronic excitations in the edge-shared relativistic Mott insulator: Na${}_2$IrO${}_3$
• The vicinity of hyper-honeycomb $\beta$-Li2IrO3 to a three-dimensional Kitaev spin liquid state
• Magnetism in spin models for depleted honeycomb-lattice iridates: Spin-glass order towards percolation
• Two iridates, two models, two approaches: a comparative study on magnetism in 3D honeycomb materials
• Magnetic ordering with an XY-like anisotropy in the honeycomb lattice iridates ZnIrO${}_3$ and MgIrO${}_3$ synthesized via a metathesis reaction
• Highly-anisotropic exchange interactions of $j_{\mathrm{eff}}=1/2$ iridium moments on the fcc lattice in La${}_{2}B$IrO${}_6$ ($B$ $=$ Mg, Zn)
• Selection of direction of the ordered moments in Na${}_2$IrO${}_3$ and $\alpha -$RuCl${}_3$
• Density-Matrix Renormalization Group Study of Extended Kitaev-Heisenberg Model
• Unusual magnetic phases in the strong interaction limit of two-dimensional topological band insulators in transition metal oxides
• Order-by-disorder and magnetic field response in Heisenberg-Kitaev model on a hyperhoneycomb lattice
• From a quasimolecular band insulator to a relativistic Mott insulator in $t_{2g}^5$ systems with a honeycomb lattice structure
• Modified Curie-Weiss Law for $j_{\mathrm{eff}}$ Magnets
• Strong magnetic frustration and anti-site disorder causing spin-glass behavior in honeycomb Li2RhO3
• SU(4)-symmetric spin-orbital liquids on the hyperhoneycomb lattice
• Theory of a quantum spin liquid in hydrogen-intercalated honeycomb iridate, H3LiIr2O6
• Tunneling spectroscopy as a probe of fractionalization in 2D magnetic heterostructures
• Magnetic anisotropy of the alkali iridate Na${}_2$IrO${}_3$ at high magnetic fields: evidence for strong ferromagnetic Kitaev correlations
• Resonant Raman scattering theory for Kitaev models and their Majorana fermion boundary modes
• Interlayer Coupling Effect on a Bilayer Kitaev Model
• Exact resummation of the Holstein-Primakoff expansion and differential equation approach to operator square-roots
• Kitaev Quantum Spin Liquids
• Revealing the Phase Diagram of Kitaev Materials by Machine Learning: Cooperation and Competition between Spin Liquids
• Magnetic field-dependent low-energy magnon dynamics in $\alpha$-RuCl3
• Hidden Quasiparticles and Incoherent Photoemission Spectra in Na2IrO3
• High-resolution resonant inelastic x-ray scattering study of the electron-phonon coupling in honeycomb $\alpha$-Li${}_2$IrO${}_3$
• Gapless Kitaev Spin Liquid to Classical String Gas through Tensor Networks
• Block product density matrix embedding theory for strongly correlated spin systems
• Raman Signatures of Strong Kitaev Exchange Correlations in (Na${}_{1-x}$Li${}_x$)${}_2$IrO${}_3$ : Experiments and Theory
• Computational Study of the Magnetic Structure of Na${}_2$IrO${}_3$
• Easy-plane anisotropic-exchange magnets on a honeycomb lattice: quantum effects and dealing with them
• Multinode quantum spin liquids on the honeycomb lattice
• Hole propagation in the Kitaev-Heisenberg model: From quasiparticles in quantum Neel states to non-Fermi liquid in the Kitaev phase
• Field-angle dependence of thermal Hall conductivity in magnetically ordered Kitaev-Heisenberg system
• 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${}_3$
• Spin-Liquid--to--Spin-Liquid Transition in Kitaev Magnets Driven by Fractionalization
• Counter-rotating spiral order in three dimensional iridates: signature of hidden symmetry in Kitaev-$\Gamma$ model
• Ground-state phase diagram of the Kitaev-Heisenberg model on a kagome lattice
• Density-Matrix Renormalization Group Study of Kitaev--Heisenberg Model on a Triangular Lattice
• 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
• Effect of ring-exchange interactions in the extended Kitaev honeycomb model
• Dynamical properties of the honeycomb-lattice Iridates $\mathrm{N}{\mathrm{a}}_2\mathrm{Ir}{\mathrm{O}}_3$
• Topological phase transition to Abelian anyon phases due to off-diagonal exchange interaction in the Kitaev spin liquid state
• Spin interaction and magnetism in cobaltate Kitaev candidate materials: an $ab$ $initio$ and model Hamiltonian approach
• Topological superconductivity in the extended Kitaev-Heisenberg model
• Three-band Hubbard model for Na${}_2$IrO${}_3$: Topological insulator, zigzag antiferromagnet, and Kitaev-Heisenberg material
• Anisotropic Quantum Spin Hall Effect, Spin-Orbital Textures and Mott Transition
• Evidence for magnetic fractional excitations in a Kitaev quantum-spin-liquid candidate $\alpha$-RuCl${}_3$
• First-principles Study on the Magnetic Interactions in Honeycomb Na2IrO3
• Ground state phase diagram of Kitaev-Heisenberg model on honeycomb-triangular lattice
• Field stability of Majorana spin liquids in antiferromagnetic Kitaev models
• Frustration and Entanglement in Compass and Spin-Orbital Models
• Variational Monte Carlo Method in the Presence of Spin-Orbit Interaction and Its Application to the Kitaev and Kitaev-Heisenberg Model
• Tuning into the Kitaev spin liquid phase:A spin model on the honeycomb lattice with two types of Heisenberg exchange couplings
• Field-induced phase transitions and quantum criticality in a honeycomb antiferromagnet Na3Co2SbO6
• Quasiparticles and charge transfer at the two surfaces of the honeycomb iridate Na${}_2$IrO${}_3$
• Possible Quantum Paraelectric State in Kitaev Spin Liquid Candidate H${}_3$LiIr${}_2$O${}_6$
• Compass and Kitaev models -- Theory and Physical Motivations
• Topological edge states in single layers of honeycomb materials with strong spin-orbit coupling
• Anisotropic frustrated Heisenberg model on the honeycomb lattice
• Exact Chiral Spin Liquids and Mean-Field Perturbations of Gamma Matrix Models on the Ruby Lattice
• Emergent quantum phases in a frustrated J1-J2 Heisenberg model on hyperhoneycomb lattice
• 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
• Spin liquid like Raman signatures in hyperkagome iridate Na${}_4$Ir${}_3$O${}_8$
• Abelian and non-Abelian chiral spin liquids in a compact tensor network representation
• Quantum phase transition between spin liquid and spin nematics in spin-1 Kitaev honeycomb model
• On the multi-$\mathbf{q}$ characteristics of magnetic ground states of honeycomb cobalt oxides
• 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
• Magnetic order and spin excitations in the Kitaev--Heisenberg model on the honeycomb lattice
• Kitaev quasiparticles in a proximate spin liquid: A many-body localization perspective
• Quantum-enhanced sensing with variable-range interactions
• Experimental percolation studies of two-dimensional honeycomb lattice: Li2Mn1-xTixO3
• Thermal Hall conductivity with sign change in the Heisenberg-Kitaev kagome magnet
• Collective excitations in Na${}_2$IrO${}_3$
• Spectrum of the hole excitation in spin-orbit Mott insulator Na${}_2$IrO${}_3$
• Phase diagram for Hole-Doped Kitaev System on the Honeycomb Lattice
• Quantum phase transitions in the Kitaev--Heisenberg model on a single hexagon
• Dynamical Response of the Kitaev Spin Liquid under Third-Nearest-Neighbor Heisenberg Interaction
• Magnetic excitations in the Kitaev material Na${}_2$IrO${}_3$ studied by neutron scattering