Kitaev-Heisenberg Model on Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides $A_2$IrO${}_3$

Abstract

We derive and study a spin one-half Hamiltonian on a honeycomb lattice describing the exchange interactions between Ir${}^{4+}$ ions in a family of layered iridates $A_2$IrO${}_3$ ($A$=Li,Na). Depending on the microscopic parameters, the Hamiltonian interpolates between the Heisenberg and exactly solvable Kitaev models. Exact diagonalization and a complementary spin-wave analysis reveal the presence of an extended spin-liquid phase near the Kitaev limit and a conventional Néel state close to the Heisenberg limit. The two phases are separated by an unusual stripy antiferromagnetic state, which is the exact ground state of the model at the midpoint between two limits.

4 pages, 3 figures; minor revisions, as published

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Cited by in corpus (794)

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• Recent progress on correlated electron systems with strong spin-orbit coupling
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• Theoretical investigation of the magnetic dynamics in $\alpha$-RuCl${}_3$
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• Robustness of basal-plane antiferromagnetic order and the $J_{eff}=1/2$ state in single-layer iridate spin-orbit Mott insulators
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• Clues and criteria for designing Kitaev spin liquid revealed by thermal and spin excitations of honeycomb iridates Na${}_2$IrO${}_3$
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• Ba2YIrO6: A cubic double perovskite material with Ir5+ ions
• Slaving of the magnetic moment canting to the correlated oxygen rotation in Sr2IrO4 revealed by X-ray resonant scattering
• Magnetic properties of restacked 2D spin $\frac{1}{2}$ honeycomb RuCl${}_3$ nanosheets
• Topological Order and Semions in a Strongly Correlated Quantum Spin Hall Insulator
• Quantum Phase Transition in Heisenberg-Kitaev Model
• Fingerprints of spin-orbital entanglement in transition metal oxides
• Heisenberg-Kitaev model on hyperhoneycomb lattice
• Square Lattice Iridates
• Site dilution in Kitaev's honeycomb model
• Spin-orbit phase behaviors of Na2Co2TeO6 at low temperatures
• Phase diagram of a frustrated Heisenberg antiferromagnet on the honeycomb lattice: the $J_1$--$J_2$--$J_3$ model
• Honeycomb Layered Oxides: Structure, Energy Storage, Transport, Topology and Relevant Insights
• Paramagnetism in the kagome compounds (Zn,Mg,Cd)Cu${}_3$(OH)${}_6$Cl${}_2$
• Magnetic excitation spectrum of Na2IrO3 probed with resonant inelastic x-ray scattering
• Magnetism and electronic structure of La2ZnIrO6 and La2MgIrO6: candidate Jeff =1/2 Mott insulators
• beta-Cu2V2O7: a spin-1/2 honeycomb lattice system
• 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
• Field-induced magnetic transition and spin fluctuation in quantum spin liquid candidate CsYbSe${}_2$
• Slater to Mott crossover in the metal to insulator transition of Nd2Ir2O7
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• Mixing of $t_{2g}$-$e_g$ orbitals in 4d and 5d transition metal oxides
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• Ultralow-temperature thermal conductivity of the Kitaev honeycomb magnet $\alpha$-RuCl${}_3$ across the field-induced phase transition
• Physical solutions of the Kitaev honeycomb model
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• Unconventional spin dynamics in the honeycomb-lattice material $\alpha$-RuCl${}_3$: high-field ESR studies
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• Order-by-Disorder from Bond-Dependent Exchange and Intensity Signature of Nodal Quasiparticles in a Honeycomb Cobaltate
• Two-dimensional spin liquid behaviour in the triangular-honeycomb antiferromagnet TbInO${}_3$
• Theory of Magnetic Phase Diagrams in Hyperhoneycomb and Harmonic-honeycomb Iridates
• Anisotropic Magnetic Couplings and Structure-Driven Canted to Collinear Transitions in Spin-orbit Coupled Sr2IrO4
• Strongly frustrated triangular spin lattice emerging from triplet dimer formation in honeycomb Li2IrO3
• Classical spin liquid instability driven by off-diagonal exchange in strong spin-orbit magnets
• Quantum Magnetism in Minerals
• Field-induced intermediate ordered phase and anisotropic interlayer interactions in $\alpha$-RuCl${}_3$
• Competition between spin-orbit coupling, magnetism, and dimerization in the honeycomb iridates: $\alpha$-Li${}_2$IrO${}_3$ under pressure
• The Spinon Fermi Surface U(1) Spin Liquid in a Spin-Orbit-Coupled Triangular Lattice Mott Insulator YbMgGaO4
• 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${}_3$
• Spin-Space Groups and Magnon Band Topology
• Octupolar vs Néel Order in Cubic 5$d^2$ double perovskites
• 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
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• Excitations in the ordered and paramagnetic states of honeycomb magnet Na2Co2TeO6
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• Pseudo-Goldstone gaps and order-by-quantum-disorder in frustrated magnets
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• Magnetic state of pyrochlore Cd2Os2O7 emerging from strong competition of ligand distortions and longer-range crystalline anisotropy
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• Possible Structural Transformation and Enhanced Magnetic Fluctuations in Exfoliated $\alpha$-RuCl${}_3$
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• Topological magnons for thermal Hall transport in frustrated magnets with bond-dependent interactions
• Resonant Inelastic X-ray Scattering on Spin-Orbit Coupled Insulating Iridates
• Beyond Kitaev physics in strong spin-orbit coupled magnets
• Origin of the insulating state in honeycomb iridates and rhodates
• Single crystal growth from separated educts and its application to lithium transition-metal oxides
• Theory of a quantum critical phenomenon in a topological insulator: (3+1)-dimensional quantum electrodynamics in solids
• Resonant inelastic X-ray scattering response of the Kitaev honeycomb model
• Exotic low-energy excitations emergent in the random Kitaev magnet Cu${}_2$IrO${}_3$
• Field evolution of magnons in $\alpha$-RuCl${}_3$ by high-resolution polarized terahertz spectroscopy
• Competition between d-wave and topological p-wave superconductivity in the doped Kitaev-Heisenberg model
• ARPES study of the Kitaev Candidate $\alpha$-RuCl${}_3$
• Comprehensive study of the dynamics of a classical Kitaev spin liquid
• Path to stable quantum spin liquids in spin-orbit coupled correlated materials
• XY magnetism, Kitaev exchange, and long-range frustration in the $J_{\mathrm{eff}}=1/2$ honeycomb cobaltates
• The frustrated Heisenberg antiferromagnet on the honeycomb lattice: A candidate for deconfined quantum criticality
• Toward Kitaev's sixteenfold way in a honeycomb lattice model
• Ab initio determination of excitation energies and magnetic couplings in correlated, quasi two-dimensional iridates
• Magnetic ground state of the Kitaev Na${}_2$Co${}_2$TeO${}_6$ spin liquid candidate
• Order-by-disorder and spin-orbital liquids in a distorted Heisenberg-Kitaev model
• Exploring the Electronic and Magnetic Properties of New Metal Halides from Bulk to Two-Dimensional Monolayer: RuX3 (X=Br, I)
• Quantum spin liquid at finite temperature: proximate dynamics and persistent typicality
• Spin-orbital Entangled Molecular $j_{\mathrm{eff}}$ States in Lacunar Spinel Compounds
• Mott Variable Range Hopping and Weak Antilocalization Effect in Heteroepitaxial Na2IrO3 Thin Films
• New Evidence for a Low-Temperature Magnetic Ground State in Double-Perovskite Iridates with Ir5+(5d4) Ions
• Probing the stability of the spin liquid phases in the Kitaev-Heisenberg model using tensor network algorithms
• Evolution of Magnetism in Single-Crystal Honeycomb Iridates
• Lattice-Tuned Magnetism of Ru4+(4d4) Ions in Single-Crystals of the Layered Honeycomb Ruthenates: Li2RuO3 and Na2RuO3
• Pressure-tuned magnetic interactions in honeycomb Kitaev materials
• A Néel-type antiferromagnetic order in the spin 1/2 rare-earth honeycomb YbCl${}_3$
• Pseudospin-lattice coupling in the spin-orbit Mott insulator Sr2IrO4
• The range of non-Kitaev terms and fractional particles in RuCl${}_3$
• Theory of Raman response in three-dimensional Kitaev spin liquids: application to $\beta -$ and $\gamma -$Li${}_2$IrO${}_3$ compounds
• Dynamics of a quantum spin liquid beyond integrability $-$ the Kitaev-Heisenberg-$\Gamma$ model in an augmented parton mean-field theory
• Dirac and Chiral Quantum Spin Liquids on the Honeycomb Lattice in a Magnetic Field
• Pressure-induced melting of magnetic order and emergence of new quantum state in alpha-RuCl3
• Global phase diagram, possible chiral spin liquid and topological superconductivity in the triangular Kitaev-Heisenberg model
• Spin-1 Kitaev-Heisenberg model on a two-dimensional honeycomb lattice
• Heat capacity evidence for proximity to the Kitaev QSL in A${}_2$IrO${}_3$ ($A=$ Na, Li)
• 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
• High-pressure magnetization and NMR studies on $\alpha$-RuCl${}_3$
• Frustration and Dzyaloshinsky-Moriya anisotropy in the kagome francisites Cu${}_3$Bi(SeO${}_3{)}_2$O${}_2$X
• Confinement-Deconfinement Transition as an Indication of Spin-Liquid-Type Behavior in Na${}_2$IrO${}_3$
• Disorder-induced Majorana metal in interacting non-Abelian anyon systems
• Effect of nonmagnetic dilution in honeycomb lattice iridates Na${}_2$IrO${}_3$ and Li${}_2$IrO${}_3$
• Impact of off-diagonal exchange interactions on the Kitaev spin liquid state of $\alpha$-RuCl${}_3$
• Functional-renormalization-group analysis of Dzyaloshinsky-Moriya and Heisenberg spin interactions on the kagome lattice
• Signatures of low-energy fractionalized excitations in $\alpha$-RuCl${}_3$ from field-dependent microwave absorption
• Magnetic Orders Proximal to the Kitaev Limit in Frustrated Triangular Systems: Application to Ba${}_3$IrTi${}_2$O${}_9$
• Giant magnetic in-plane anisotropy and competing instabilities in Na3Co2SbO6
• 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
• Heisenberg-Kitaev model in a magnetic field: $1/S$ expansion
• Hidden multipolar orders of dipole-octupole doublets on a triangular lattice
• Resonant inelastic x-ray incarnation of Young's double-slit experiment
• Nature of Magnetic Excitations in the High-Field Phase of $\alpha$-RuCl${}_3$
• Li${}_2$RhO${}_3$: A spin-glassy relativistic Mott insulator
• Thermodynamic and Transport Properties in Disordered Kitaev Models
• Destabilization of magnetic order in a dilute Kitaev spin liquid candidate
• Topological magnon bands in the zigzag and stripy phases of antiferromagnetic honeycomb lattice
• Relativistic $GW$+BSE study of the optical properties of Ruddlesden-Popper iridates
• Magnetic Field Induced Competing Phases in Spin-Orbital Entangled Kitaev Magnets
• Crossover from coherent to incoherent scattering in spin-orbit dominated Sr2IrO4
• Impact of spin-orbit coupling on the magnetism of Sr3MIrO6 (M = Ni, Co)
• Competition between static and dynamic magnetism in the Kitaev spin liquid material Cu2IrO3
• Low energy magnetic excitations in the spin-orbital Mott insulator Sr${}_2$IrO${}_4$
• Observation of spin-orbit excitations and Hund's multiplets in Ca${}_2$RuO${}_4$
• Deriving models for the Kitaev spin-liquid candidate material $\alpha$-RuCl${}_3$ from first principles
• Van Hove singularity in the magnon spectrum of the antiferromagnetic quantum honeycomb lattice
• Quantum Spin Liquid in a Breathing Kagome Lattice
• Chiral d-wave superconductivity on the honeycomb lattice close to the Mott state
• CaIrO3 post-perovskite, a j = 1/2 quasi-one-dimensional antiferromagnet
• Interplay of many-body and single-particle interactions in iridates and rhodates
• Electronic excitations in the edge-shared relativistic Mott insulator: Na${}_2$IrO${}_3$
• Quantum order by disorder in the Kitaev model on a triangular lattice
• Unraveling the nature of magnetism of the 5${\mathbf{d}}^4$ double perovskite Ba${}_2$YIrO${}_6$
• 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
• Anisotropic layer construction of anisotropic fracton models
• J-freezing and Hund's rules in spin-orbit-coupled multiorbital Hubbard models
• Electronically highly cubic conditions for Ru in alpha-RuCl3
• Spin-Peierls Instability of Three-Dimensional Spin Liquids with Majorana Fermi Surfaces
• Raman evidence for dimerization and Mott collapse in $\alpha$-RuCl${}_3$ under pressures
• Perturbed vortex lattices and the stability of nucleated topological phases
• Variational study of the Kitaev-Heisenberg-Gamma model
• Non-local String Order Parameter in the $S=1/2$ Kitaev-Heisenberg Ladder
• Non-Kitaev vs. Kitaev Honeycomb Cobaltates
• Chiral spin-orbital liquids with nodal lines
• Magnetic structural change of Sr2IrO4 upon Mn doping
• Power-law spin correlations in a perturbed honeycomb spin model
• Kitaev-Heisenberg model in a magnetic field: order-by-disorder and commensurate-incommensurate transitions
• Phase diagram of the spin-1/2 Kitaev-Gamma chain and emergent SU(2) symmetry
• Crystal field splitting, local anisotropy, and low energy excitations in the quantum magnet YbCl${}_3$
• Triple-q order in Na${}_2$Co${}_2$TeO${}_6$ from proximity to hidden-SU(2)-symmetric point
• Magnetic structure and excitation spectrum of the hyperhoneycomb Kitaev magnet $\beta$-Li${}_2$IrO${}_3$
• Magnetic Excitations in Spin-Orbit Coupled $d^4$ Mott Insulator on Square Lattice
• Generalized Kitaev Models and Slave Genons
• Signatures of magnetic-field-driven quantum phase transitions in the entanglement entropy and spin dynamics of the Kitaev honeycomb model
• Unveiling the S=3/2 Kitaev Honeycomb Spin Liquids
• Non-collinear antiferromagnetism of coupled spins and pseudospins in the double perovskite La2CuIrO6
• Entanglement Entropy and Spectra of the One-dimensional Kugel-Khomskii Model
• 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
• Magnetoelastic coupling and effects of uniaxial strain in $\alpha$-RuCl${}_3$ from first principles
• The interplay of Dzyaloshinskii-Moriya and Kitaev interactions for magnonic properties of Heisenberg-Kitaev honeycomb ferromagnets
• Landau levels of Majorana fermions in a spin liquid
• Phonon renormalization in the Kitaev quantum spin liquid
• Exchange interactions, Jahn-Teller coupling, and multipole orders in pseudospin one-half $5{\mathbf{d}}^2$ Mott insulators
• 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
• Magnetic ordering with an XY-like anisotropy in the honeycomb lattice iridates ZnIrO${}_3$ and MgIrO${}_3$ synthesized via a metathesis reaction
• Quantum spin liquid in the semiclassical regime
• Magnetism in spin models for depleted honeycomb-lattice iridates: Spin-glass order towards percolation
• 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)
• Local Magnetism and Spin Dynamics of the Frustrated Honeycomb Rhodate Li2RhO3
• Fractionalized Fermi liquids and exotic superconductivity in the Kitaev-Kondo lattice
• Pressure-driven collapse of the relativistic electronic ground state in a honeycomb iridate
• Kitaev honeycomb models in magnetic fields: Dynamical response and hidden symmetries
• Majorana-mediated spin transport without spin polarization in Kitaev quantum spin liquids
• Field-induced phase transitions of the Kitaev material $\alpha$-RuCl${}_3$ probed by thermal expansion and magnetostriction
• Interplay between Lattice Distortion and Spin-Orbit Coupling in Double Perovskites
• Selection of direction of the ordered moments in Na${}_2$IrO${}_3$ and $\alpha -$RuCl${}_3$
• Towards Kitaev Spin Liquid in 3d Transition Metal Compounds
• Spin waves and spin-state transitions in a ruthenate high-temperature antiferromagnet
• Spin excitations of a proximate Kitaev quantum spin liquid realized in Cu${}_2$IrO${}_3$
• Effects of spin vacancies on magnetic properties of the Kitaev-Heisenberg model
• Thermal transport in a two-dimensional ${\mathbb{Z}}_2$ spin liquid
• Density-Matrix Renormalization Group Study of Extended Kitaev-Heisenberg Model
• Synthesis, magnetization and heat capacity of triangular lattice materials NaErSe${}_2$ and KErSe${}_2$
• Crystalline Kitaev spin liquids
• Unusual magnetic phases in the strong interaction limit of two-dimensional topological band insulators in transition metal oxides
• Spin-orbit coupled systems in the "atomic" limit: rhenates, osmates, iridates
• Vison Crystals in an Extended Kitaev Model on the Honeycomb Lattice
• A universal tensor network algorithm for any infinite lattice
• New Honeycomb Iridium (V) Oxides: NaIrO${}_3$ and Sr${}_3$CaIr${}_2$O${}_9$
• Order-by-disorder and magnetic field response in Heisenberg-Kitaev model on a hyperhoneycomb lattice
• Kondo impurities in the Kitaev spin liquid: Numerical renormalization group solution and gauge-flux-driven screening
• Disorder upon disorder: localization effects in the Kitaev spin liquid
• Fidelity susceptibility in the two-dimensional spin-orbit models
• Ground state phase diagram of dipolar-octupolar pyrochlores
• Identification of a Kitaev Quantum Spin Liquid by Magnetic Field Angle Dependence
• Topological superconductivity in Kondo-Kitaev model
• Variational tensor network renormalization in imaginary time: Two-dimensional quantum compass model at finite temperature
• The Jeff=1/2 antiferromagnet Sr2IrO4: A golden avenue toward new physics and functions
• Emergent ultrafast phenomena in correlated oxides and heterostructures
• Ordered states in the Kitaev-Heisenberg model: From 1D chains to 2D honeycomb
• Direct experimental observation of the molecular Jeff=3/2 ground state in the lacunar spinel GaTa4Se8
• Jahn-Teller effect in systems with strong on-site spin-orbit coupling
• Field-induced dynamical properties of the $XXZ$ model on a honeycomb lattice
• From a quasimolecular band insulator to a relativistic Mott insulator in $t_{2g}^5$ systems with a honeycomb lattice structure
• Resonant x-ray scattering reveals possible disappearance of magnetic order under hydrostatic pressure in the Kitaev candidate $\gamma$-Li${}_2$IrO${}_3$
• Magnetic field-induced evolution of intertwined orders in the Kitaev magnet $\beta$-Li${}_2$IrO${}_3$
• Field induced magnon excitation and in gap absorption of Kitaev candidate RuCl3
• Floquet engineering of Mott insulators with strong spin-orbit coupling
• Valence-bond crystalline order in the $s=1/2$ $J_1$--$J_2$ model on the honeycomb lattice
• Magnon dispersion and dynamic spin response in three-dimensional spin models for $\alpha$-RuCl${}_3$
• Functional renormalization group study of the Kitaev-$\Gamma$ model on the honeycomb lattice and emergent incommensurate magnetic correlations
• Strong magnetic frustration and anti-site disorder causing spin-glass behavior in honeycomb Li2RhO3
• Significant thermal Hall effect in the 3$d$ cobalt Kitaev system $N{a}_{2}C{o}_{2}Te{O}_6$
• High-pressure versus isoelectronic doping effect on the honeycomb iridate Na${}_2$IrO${}_3$
• SU(4)-symmetric spin-orbital liquids on the hyperhoneycomb lattice
• Theory of a quantum spin liquid in hydrogen-intercalated honeycomb iridate, H3LiIr2O6
• Interplay of electronic and spin degrees in ferromagnetic SrRuO${}_3$: anomalous softening of magnon gap and stiffness
• Comprehensive study of the phase diagram of the spin-1/2 Kitaev-Heisenberg-Gamma chain
• Collective excitations in the tetravalent lanthanide honeycomb antiferromagnet, Na2PrO3
• Tunneling spectroscopy as a probe of fractionalization in 2D magnetic heterostructures
• Novel chiral quantum spin liquids in Kitaev magnets
• Observation of a random singlet state in a diluted Kitaev honeycomb material
• Magnetic anisotropy of the alkali iridate Na${}_2$IrO${}_3$ at high magnetic fields: evidence for strong ferromagnetic Kitaev correlations
• Resonant inelastic x-ray scattering study of $\alpha$-RuCl${}_3$: a progress report
• Analysis of the optical conductivity for A2IrO3 (A = Na, Li) from first principles
• Ground-state phases of the frustrated spin-1/2 $J_1$--$J_2$--$J_3$ Heisenberg ferromagnet ($J_1<0$) on the honeycomb lattice with $J_3=J_2>0$
• Interlayer Coupling Effect on a Bilayer Kitaev Model
• Resonant Raman scattering theory for Kitaev models and their Majorana fermion boundary modes
• Unconventional pairing and electronic dimerization instabilities in the doped Kitaev-Heisenberg model
• Quantum spin liquid phase in the Shastry-Sutherland model detected by an improved level spectroscopic method
• Exact resummation of the Holstein-Primakoff expansion and differential equation approach to operator square-roots
• Magnetic field-dependent low-energy magnon dynamics in $\alpha$-RuCl3
• Kitaev Quantum Spin Liquids
• Revealing the Phase Diagram of Kitaev Materials by Machine Learning: Cooperation and Competition between Spin Liquids
• Ground-state phase diagram of spin-$S$ Kitaev-Heisenberg models
• Thermal Hall signatures of non-Kitaev spin liquids in honeycomb Kitaev materials
• Quantum phase transitions in exactly solvable one-dimensional compass models
• Magnetic Raman continuum in single crystalline H${}_3$LiIr${}_2$O${}_6$
• Dual gate control of bulk transport and magnetism in the spin-orbit insulator Sr2IrO4
• Hidden Quasiparticles and Incoherent Photoemission Spectra in Na2IrO3
• Multiflavor Mott insulators in quantum materials and ultracold atoms
• Quantum Many-Body Scars in Spin-1 Kitaev Chains
• Covalency and vibronic couplings make a nonmagnetic j=3/2 ion magnetic
• Classification of spin liquids on the square lattice with strong spin-orbit coupling
• Quantum phase transitions in a generalized compass chain with three-site interactions
• DFT+DMFT study on soft moment magnetism and covalent bonding in SrRu${}_2$O${}_6$
• High-resolution resonant inelastic x-ray scattering study of the electron-phonon coupling in honeycomb $\alpha$-Li${}_2$IrO${}_3$
• Benchmarking variational quantum eigensolvers for the square-octagon-lattice Kitaev model
• Spin correlations and phase diagram of the perturbed Kitaev model
• Complete phase diagram of the spin-1/2 $J_1$-$J_2$-$J_3$ model (with $J_3=J_2$) on the honeycomb lattice
• Universal Thermodynamics in the Kitaev Fractional Liquid
• Spin dynamics in the Kitaev model with disorder: Quantum Monte Carlo study of dynamical spin structure factor, magnetic susceptibility, and NMR relaxation rate
• Quantum spin liquid ground states of the Heisenberg-Kitaev model on the triangular lattice
• Gapless Kitaev Spin Liquid to Classical String Gas through Tensor Networks
• The Crystallographic Spin Point Groups and their Representations
• Tensor network simulation of the Kitaev-Heisenberg model at finite temperature
• Raman Signatures of Strong Kitaev Exchange Correlations in (Na${}_{1-x}$Li${}_x$)${}_2$IrO${}_3$ : Experiments and Theory
• Quantum and classical behavior of spin-$S$ Kitaev models in an anisotropic limit
• Block product density matrix embedding theory for strongly correlated spin systems
• Multi-$Q$ hexagonal spin density waves and dynamically generated spin-orbit coupling: time-reversal invariant analog of the chiral spin density wave
• Probing spinon nodal structures in three-dimensional Kitaev spin liquids
• Spin-Orbit Exciton in a Honeycomb Lattice Magnet CoTiO${}_3$: Revealing Link Between Rare Earth and Transition Metal Magnetism
• Easy-plane multi-$\mathbf{q}$ magnetic ground state of Na${}_3$Co${}_2$SbO${}_6$
• High-field thermal transport properties of the Kitaev quantum magnet alpha-RuCl3: evidence for low-energy excitations beyond the critical field
• Anderson-Kitaev spin liquid
• Magnetic frustration in iridium spinel compound CuIr${}_2$S${}_4$
• Classical spin order near antiferromagnetic Kitaev point in the spin-1/2 Kitaev-Gamma chain
• Transition-Metal Oxide (111) bilayers
• Diluted paramagnetic impurities in nonmagnetic Ba${}_2$YIrO${}_6$
• Observing spin fractionalization in the Kitaev spin liquid via temperature evolution of indirect resonant inelastic x-ray scattering
• Localised zero-energy modes in the Kitaev model with vacancy-disorder
• Computational Study of the Magnetic Structure of Na${}_2$IrO${}_3$
• Long-range interactions in the effective low energy Hamiltonian of Sr2IrO4: a core level resonant inelastic x-ray scattering study
• Defect states and excitations in a Mott insulator with orbital degrees of freedom: Mott-Hubbard gap versus optical and transport gaps in doped systems
• Chemical- and hydrostatic-pressure effects on the Kitaev honeycomb material Na${}_2$IrO${}_3$
• Antiferromagnetic Slater Insulator Phase of Na2IrO3
• Structure and Properties of α-NaFeO2-type Ternary Sodium Iridates
• An Exact Chiral Amorphous Spin Liquid
• Kitaev model and dimer coverings on the honeycomb lattice
• Highly frustrated magnetism in relativistic ${\mathbf{d}}^4$ Mott insulators: Bosonic analog of Kitaev honeycomb model
• Easy-plane anisotropic-exchange magnets on a honeycomb lattice: quantum effects and dealing with them
• Nonequilibrium Majorana Dynamics by Quenching a Magnetic Field in Kitaev Spin Liquids
• Pr${}_2$Ir${}_2$O${}_7$: when Luttinger semimetal meets Melko-Hertog-Gingras spin ice state
• Mechanism for subgap optical conductivity in honeycomb Kitaev materials
• Kitaev honeycomb tensor networks: exact unitary circuits and applications
• The electronic structure of NaIrO${}_3$, Mott insulator or band insulator?
• Zeeman field induced topological phase transitions in triplet superconductors
• Dynamics of a j=3/2 quantum spin liquid
• Plaquette order in classical spin liquid stabilized by strong off-diagonal exchange
• Non-local spin correlation as a signature of Ising anyons trapped in vacancies of the Kitaev spin liquid
• Susceptibility anisotropy and its disorder evolution in models for Kitaev materials
• A stable Algebraic Spin Liquid in a Hubbard model
• Direct detection of dimer orbitals in Ba${}_5$AlIr${}_2$O${}_{11}$
• Hole propagation in the Kitaev-Heisenberg model: From quasiparticles in quantum Neel states to non-Fermi liquid in the Kitaev phase
• Multinode quantum spin liquids on the honeycomb lattice
• Field-angle dependence of thermal Hall conductivity in magnetically ordered Kitaev-Heisenberg system
• Bond ordering and phase transitions in Na${}_2$IrO${}_3$ under high pressure
• Unconventional magnetism in the spin-orbit driven Mott insulators Ba3MIr2O9 (M=Sc,Y)
• Quantum critical phase transition between two topologically-ordered phases in the Ising toric code bilayer
• Stripe-yz magnetic order in the triangular-lattice antiferromagnet KCeS2
• Heat transport in the anisotropic Kitaev spin liquid
• Identification of hidden order and emergent constraints in frustrated magnets using tensorial kernel methods
• Nearly itinerant electronic groundstate in the intercalated honeycomb iridate Ag${}_3$LiIr${}_2$O${}_6$
• High temperature thermodynamics of the honeycomb-lattice Kitaev-Heisenberg model: A high temperature series expansion study
• Further insights into the thermodynamics of the Kitaev honeycomb model
• Investigation of unconventional reconstruction and electronic properties on the Na2IrO3 surface
• Rare-Earth Chalcogenides: An Inspiring Playground For Exploring Frustrated Magnetism
• Magnetic three states of matter: A quantum Monte Carlo study of spin liquids
• Magnetic structure determination of Ca${}_3$LiOsO${}_6$ using neutron and x-ray scattering
• Comprehensive study of the global phase diagram in the triangular $J$-$K$-$\Gamma$ model
• Quantum memory coupled to cavity modes
• Quantum robustness and phase transitions of the 3D Toric Code in a field
• Spin-Liquid--to--Spin-Liquid Transition in Kitaev Magnets Driven by Fractionalization
• 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
• Scattering Signatures of Bond-Dependent Magnetic Interactions
• Observation of metallic surface states in the strongly correlated Kitaev-Heisenberg candidate Na2IrO3
• Excitonic Magnetism at the intersection of Spin-orbit coupling and crystal-field splitting
• Counter-rotating spiral order in three dimensional iridates: signature of hidden symmetry in Kitaev-$\Gamma$ model
• Spin-orbit coupling and correlations in three-orbital systems
• Ground-state phase diagram of the Kitaev-Heisenberg model on a kagome lattice
• Unquantized thermal Hall effect in quantum spin liquids with spinon Fermi surfaces
• Thermal Hall Effect in the Kitaev-Heisenberg System with Spin-Phonon Coupling
• Antiferromagnetic Kitaev Interactions in Polar Spin-Orbit Mott Insulators
• Strong-disorder renormalization for interacting non-Abelian anyon systems in two dimensions
• Statistical properties of linear Majorana fermions
• Thermally induced metallic phase in a gapped quantum spin liquid - a Monte Carlo study of the Kitaev model with parity projection
• Dynamical properties of the honeycomb-lattice Iridates $\mathrm{N}{\mathrm{a}}_2\mathrm{Ir}{\mathrm{O}}_3$
• Machine-Learned Phase Diagrams of Generalized Kitaev Honeycomb Magnets
• Thermal anyon interferometry in phonon-coupled Kitaev spin liquids
• Spin interaction and magnetism in cobaltate Kitaev candidate materials: an $ab$ $initio$ and model Hamiltonian approach
• Effect of ring-exchange interactions in the extended Kitaev honeycomb model
• NMR Investigation on Honeycomb Iridate Ag${}_3$LiIr${}_2$O${}_6$
• Topological phase transition to Abelian anyon phases due to off-diagonal exchange interaction in the Kitaev spin liquid state
• Nature of Possible Magnetic Phases in Frustrated Hyperkagome Iridate
• 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
• Magnetoelectric generation of a Majorana-Fermi surface in Kitaev's honeycomb model
• Electronic and magnetic properties of iridium ilmenites $A$IrO${}_3$ ($A=$ Mg, Zn, and Mn)
• Majorana correlations in the Kitaev model with ordered-flux structures
• Majorana fermions on the Abrikosov flux lattice in a $p_x+i{p}_y$ superconductor and thermal conductivity in superclean regime
• How spin-orbital entanglement depends on the spin-orbit coupling in a Mott insulator
• Realization of anisotropic compass model on the diamond lattice of Cu${}^{2+}$ in CuAl${}_2$O${}_4$
• Phase diagram of the square lattice Hubbard model with Rashba-type antisymmetric spin-orbit coupling
• Analytic calculation of the vison gap in the Kitaev spin liquid
• A Possible Fermi liquid in the lightly doped Kitaev spin liquid
• Unusual spin dynamics in the low-temperature magnetically ordered state of Ag${}_3$LiIr${}_2$O${}_6$
• Quantum Monte Carlo Simulation of Generalized Kitaev Models
• 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
• Topological superconductivity in the extended Kitaev-Heisenberg model
• Signatures of fractionalization in spin liquids from interlayer thermal transport
• 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
• Emergent dimensional reduction of the spin sector in a model for narrow-band manganites
• Charge transfer energy in iridates: a hard x-ray photoelectron spectroscopy study
• Recent progress on magnetic-field studies on quantum-spin-liquid candidates
• Theoretical evidence of spin-orbital-entangled $J_{\mathbf{eff}}$=1/2 state in the 3$d$ transition metal oxide CuAl${}_2$O${}_4$
• Anisotropic Quantum Spin Hall Effect, Spin-Orbital Textures and Mott Transition
• Magnetically induced polarization in centrosymmetric bonds
• Exact matrix product states at the quantum Lifshitz tricritical point in a spin-1/2 zigzag-chain antiferromagnet with anisotropic $\Gamma$-term
• Field evolution of magnetic phases and spin dynamics in the honeycomb lattice magnet Na2Co2TeO6: 23Na NMR study
• Thermal Transport in a one-dimensional Z${}_2$ Spin Liquid
• Photoexcited states of the harmonic honeycomb iridate γ-Li${}_2$IrO${}_3$
• Optical signature of the pressure-induced dimerization in the honeycomb iridate $\alpha$-Li${}_2$IrO${}_3$
• Phononic-magnetic dichotomy of the thermal Hall effect in the Kitaev-Heisenberg candidate material Na${}_2$Co${}_2$TeO${}_6$
• Strain-induced topological transition in SrRu${}_2$O${}_6$ and CaOs${}_2$O${}_6$
• Flux mobility delocalization in the Kitaev spin ladder
• Topological and magnetic phases with strong spin-orbit coupling on the hyperhoneycomb lattice
• Evidence for magnetic fractional excitations in a Kitaev quantum-spin-liquid candidate $\alpha$-RuCl${}_3$
• Emergent orbital magnetization in Kitaev quantum magnets
• Residual Entropy and Spin Fractionalizations in the Mixed-Spin Kitaev Model
• Geometric description of the Kitaev honeycomb lattice model
• Magnon interactions in the quantum paramagnetic phase of CoNb${}_2$O${}_6$
• Chern-Simons superconductors and their instabilities
• Insights into the Anisotropic Spin-$S$ Kitaev Chain
• Field stability of Majorana spin liquids in antiferromagnetic Kitaev models
• Spin vestigial orders in extended Heisenberg-Kitaev models near hidden SU(2) points: Application to Na${}_2$Co${}_2$TeO${}_6$
• Unveiling the nature of three dimensional orbital ordering transitions: the case of $e_g$ and $t_{2g}$ models on the cubic lattice
• First-principles Study on the Magnetic Interactions in Honeycomb Na2IrO3
• Electronic excitations and structure of Li2IrO3 thin films grown on ZrO${}_2$:Y (001) substrates
• Extent of frustration in the classical Kitaev-$\Gamma$ model via bond anisotropy
• Frustration and Entanglement in Compass and Spin-Orbital Models
• Energy dynamics in the Heisenberg-Kitaev chain
• The Saga of $\alpha$-RuCl${}_3$: Parameters, Models, and Phase Diagrams
• Ground state phase diagram of Kitaev-Heisenberg model on honeycomb-triangular lattice
• Local spin structure of the $\alpha$-RuCl${}_3$ honeycomb-lattice magnet observed via muon spin rotation/relaxation
• Thermodynamics of 3D Kitaev quantum spin liquids via tensor networks
• Spin transport in the Quantum Spin Liquid State in the $S=1$ Kitaev model: role of the fractionalized quasiparticles
• Variational Monte Carlo Method in the Presence of Spin-Orbit Interaction and Its Application to the Kitaev and Kitaev-Heisenberg Model
• Tracking local magnetic dynamics via high-energy charge excitations in a relativistic Mott insulator
• Tuning into the Kitaev spin liquid phase:A spin model on the honeycomb lattice with two types of Heisenberg exchange couplings
• Testing Ising Topological Order in $\alpha$-RuCl${}_3$ Under In-Plane Magnetic Fields
• Electronic excitations in $\gamma$-Li${}_2$IrO${}_3$
• Upper branch magnetism in quantum magnets: Collapses of excited levels and emergent selection rules
• Valence Bond Crystal and possible orbital pinball liquid in a t2g model
• Phase diagram of the quantum spin-1/2 Heisenberg-$\Gamma$ model on a frustrated zigzag chain
• Photoinduced Floquet topological magnons in Kitaev magnets
• Field-induced Kitaev multipolar liquid in spin-orbit coupled $d^2$ honeycomb Mott insulators
• Fermionic approach to variational quantum simulation of Kitaev spin models
• Pressure-induced formation of rhodium zigzag chains in the honeycomb rhodate Li${}_2$RhO${}_3$
• Spin-$S$ Kitaev-Heisenberg model on the honeycomb lattice: A high-order treatment via the many-body coupled cluster method
• Comparing the influence of Floquet dynamics in various Kitaev-Heisenberg materials
• Spin dynamics of counterrotating Kitaev spirals via duality
• Magnetic vortex liquid and anomalous thermal Hall conductivity in frustrated magnets with bond-dependent interactions
• Suppression of Antiferromagnetic Order by Strain in Honeycomb Cobaltate: Implication for Quantum Spin Liquid
• Spin-orbital excitons and their potential condensation in pentavalent iridates
• Persistent spin dynamics in magnetically ordered honeycomb cobalt oxides
• Heisenberg-Kitaev Models on Hyperhoneycomb and Stripyhoneycomb Lattices: 3D-2D Equivalence of Ordered States and Phase Diagrams
• Low temperature enhancement of ferromagnetic Kitaev correlations in α-RuCl3
• 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
• First Principles Study of the Giant Magnetic Anisotropy Energy in Bulk Na4IrO4
• Exploring spin-orbital models with dipolar fermions in zig-zag optical lattices
• Learning Effective Spin Hamiltonian of Quantum Magnet
• Probing Majorana wavefunctions in Kitaev honeycomb spin liquids with second-order two-dimensional spectroscopy
• Spin wave theory of one-dimensional generalized Kitaev model
• Introducing the monoclinic polymorph of the Kitaev magnet Na${}_2$Co${}_2$TeO${}_6$
• Symmetry-protected gapless spin liquids on the strained honeycomb lattice
• Quasiparticles and charge transfer at the two surfaces of the honeycomb iridate Na${}_2$IrO${}_3$
• Nonlinear response of the Kitaev honeycomb lattice model in a weak magnetic field
• Acoustic phonon dispersion of $\alpha$-RuCl${}_3$
• Topological excitations in three dimensional Kitaev model
• Phases and phase transitions of a perturbed Kekulé-Kitaev model
• Symmetry analysis of bond-alternating Kitaev spin chains and ladders
• Anomalous continuum scattering and higher-order van Hove singularity in the strongly anisotropic S = 1/2 triangular lattice antiferromagnet
• Single-crystal study of the honeycomb XXZ magnet BaCo${}_2$(PO${}_4$)${}_2$ in magnetic fields
• Phases and Quantum Phase Transitions in an Anisotropic Ferromagnetic Kitaev-Heisenberg-$\Gamma$ Magnet
• Compass and Kitaev models -- Theory and Physical Motivations
• Discovering momentum-dependent magnon spin texture in insulating antiferromagnets: Role of the Kitaev interaction
• Spin-wave dynamics in the KCeS2 delafossite: A theoretical description of powder inelastic neutron-scattering data
• Quest for New Quantum States via Field-Editing Technology
• Disorder effects in the Kitaev-Heisenberg model
• Neutron spectroscopy evidence for a possible magnetic-field-induced gapless quantum-spin-liquid phase in a Kitaev material $\alpha$-RuCl${}_3$
• Sr${}_2$IrO${}_4$/Sr${}_3$Ir${}_2$O${}_7$ superlattice for a model 2D quantum Heisenberg antiferromagnet
• Magnetism of $\mathrm{NaYb}{\mathrm{S}}_2$: From finite temperatures to ground state
• Topological Nematic Phase Transition in Kitaev Magnets Under Applied Magnetic Fields
• Reentrant incommensurate order and anomalous magnetic torque in the Kitaev magnet $\beta$-${\text{Li}}_2{\text{IrO}}_3$
• Ferrimagnetism from triple-q order in Na${}_2$Co${}_2$TeO${}_6$
• Exact Chiral Spin Liquids and Mean-Field Perturbations of Gamma Matrix Models on the Ruby Lattice
• Evidences for the random singlet phase in a new honeycomb iridate SrIr${}_2$O${}_{6-\delta }$
• Electronic Density of States of a $U\left(1\right)$ Quantum Spin Liquid with Spinon Fermi Surface. II. Zeeman Magnetic Field Effects
• First demonstration of tuning between the Kitaev and Ising limits in a honeycomb lattice
• Hidden spin-orbital order in the Kitaev hyperhoneycomb $\beta$-Li${}_2$IrO${}_3$
• Large off diagonal exchange couplings and spin liquid states in ${\mathbf{C}}_3$ symmetric iridates
• Unconventional magnetic field response of the hyperhoneycomb Kitaev magnet $\beta -{\text{Li}}_2{\text{IrO}}_3$
• Emergent quantum phases in a frustrated J1-J2 Heisenberg model on hyperhoneycomb lattice
• Symmetry Analysis of Tensors in the Honeycomb Lattice of Edge-Sharing Octahedra
• Feasibility of Kitaev quantum spin liquids in ultracold polar molecules
• Thermal conductivity of local moment models with strong spin-orbit coupling
• Model Hamiltonian for strongly-correlated systems: Systematic, self-consistent, and unique construction
• Symmetry-protected topological invariant and Majorana impurity states in time-reversal-invariant superconductors
• Steplike metamagnetic transitions in a honeycomb lattice antiferromagnet Tb${}_2$Ir${}_3$Ga${}_9$
• Optical magnons with dominant bond-directional exchange interactions in a honeycomb lattice iridate $\alpha$-Li${}_2$IrO${}_3$
• Triplet FFLO Superconductivity in the doped Kitaev-Heisenberg Honeycomb Model
• Charge density functional plus $U$ calculation of lacunar spinel GaM${}_4$Se${}_8$ (M = Nb, Mo, Ta, and W)
• Symmetry-protected topological magnons in three dimensional Kitaev materials
• Scattering phenomena for spin transport in Kitaev spin liquid
• 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
• Phonon Dynamics in the Generalized Kitaev Spin Liquid
• Differentiable programming tensor networks for Kitaev magnets
• Spin liquid like Raman signatures in hyperkagome iridate Na${}_4$Ir${}_3$O${}_8$
• First-order magneto-structural transition in single crystals of the honeycomb lattice Ruthenate Li${}_2$RuO${}_3$
• Microscopic Roadmap to a Yao-Lee Spin-Orbital Liquid
• Anatomy of Fermionic Entanglement and Criticality in Kitaev Spin Liquids
• Topological magnons in one-dimensional ferromagnetic Su-Schrieffer-Heeger model with anisotropic interaction
• Quantum paramagnetism in the hyperhoneycomb Kitaev magnet $\beta$-ZnIrO${}_3$
• Multiple field-induced phases in the frustrated triangular magnet Cs${}_3$Fe${}_2$Br${}_9$
• Lattice dynamics and structural transition of the hyperhoneycomb iridate $\beta$-Li${}_2$IrO${}_3$ investigated by high-pressure Raman scattering
• Spin excitations and thermodynamics of the antiferromagnetic Heisenberg model on the layered honeycomb lattice
• 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
• Magnon Condensation in Dimerized Antiferromagnets with Spin-Orbit Coupling
• Spinons and damped phonons in spin-1/2 quantum-liquid Ba${}_4$Ir${}_3$O${}_{10}$ observed by Raman scattering
• Orbital Magnetic Field Effects in Mott Insulators with Strong Spin-Orbit Coupling
• Cooperative effects of lattice and spin-orbit coupling on the electronic structure of orthorhombic SrIrO3
• Correlated Paramagnetism and Interplay of Magnetic and Phononic Degrees of Freedom in 3d-5d Coupled La2CuIrO6
• Magnetic-field Induced Topological Transitions and Thermal Conductivity in a Generalized Kitaev Model
• Canted antiferromagnetic order and spin dynamics in the honeycomb-lattice Tb2Ir3Ga9
• Anisotropic exchange and non-collinear antiferromagnets on a noncentrosymmetric fcc structure as in the half-Heuslers
• Transforming from Kitaev to Disguised Ising Chain: Application to CoNb${}_2$O${}_6$
• Single-hole spectra of Kitaev spin liquids: from dynamical Nagaoka ferromagnetism to spin-hole fractionalization
• Sign Changes in Heat, Spin, and Orbital Magnon Transport Coefficients in Kitaev Ferromagnets
• Ground-State Phase Diagram of the Kitaev-Heisenberg Model on a Three-dimensional Hyperhoneycomb Lattice
• Abelian and non-Abelian chiral spin liquids in a compact tensor network representation
• Thermal Hall conductivity near field-suppressed magnetic order in a Kitaev-Heisenberg model
• Quantum phase transition between spin liquid and spin nematics in spin-1 Kitaev honeycomb model
• Emergent quantum Majorana metal from a chiral spin liquid
• Non-collinear Order and Spin-Orbit Coupling in Sr${}_3$ZnIrO${}_6$
• The origin of exciton mass in a frustrated Mott insulator Na${}_2$IrO${}_3$
• Spin liquid fingerprints in the thermal transport of a Kitaev-Heisenberg ladder
• Order by singularity in Kitaev clusters
• Triplons, Magnons, and Spinons in a Single Quantum Spin System: SeCuO3
• Magnetic properties of a spin-orbit entangled Jeff = 1/2 honeycomb lattice
• Kitaev-Heisenberg model on the star lattice: From chiral Majorana fermions to chiral triplons
• Frustrated Magnetic Cycloidal Structure and Emergent Potts Nematicity in CaMn${}_2$P${}_2$
• Dynamical manipulation of Dirac points in the Kitaev honeycomb model
• Correlation effects on the magnetization process of the Kitaev model
• Signatures of non-Loudon-Fleury Raman scattering in the Kitaev magnet $\beta$-Li${}_2$IrO${}_3$
• Active orbital degree of freedom and potential spin-orbit-entangled moments in Kitaev magnet candidate BaCo${}_2$(AsO${}_4$)${}_2$
• Correlated electron metal properties of the honeycomb ruthenate Na${}_2$RuO${}_3$
• Origin of nonsymmorphic bosonization formulas in generalized antiferromagnetic Kitaev spin-$\frac{1}{2}$ chains from a renormalization-group perspective
• Mott insulator-to-metal transition in yttrium-doped CaIrO3
• Multiband $d-p$ model and self-doping in the electronic structure of Ba${}_2$IrO${}_4$
• Field-driven spatiotemporal manipulation of Majorana zero modes in a Kitaev spin liquid
• 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 $\alpha -\mathrm{RuC}{\mathrm{l}}_3$
• On the multi-$\mathbf{q}$ characteristics of magnetic ground states of honeycomb cobalt oxides
• Strong tuning of magnetism and electronic structure by spin orientation
• Strain-induced phase diagram of the $S=\frac{3}{2}$ Kitaev material $\mathrm{CrSiT}{\mathrm{e}}_3$
• Kitaev quasiparticles in a proximate spin liquid: A many-body localization perspective
• Structure, Properties, and Disorder in the New Distorted-Hollandite PbIr4Se8
• Bound states of fractionalized excitations in a modulated Kitaev spin liquid
• Perturbed Kitaev model: excitation spectrum and long-ranged spin correlations
• 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
• Topological transitions in a model with Particle-Hole symmetry, Pancharatnam-Berry Curvature and Dirac Points
• Magnetic order and spin excitations in the Kitaev--Heisenberg model on the honeycomb lattice
• Control of Edge Currents at a Ferromagnet - Triplet Superconductor Interface by Multiple Helical Majorana Modes
• Honeycomb Layered Frameworks with Metallophilic Bilayers
• Dielectric Evidence for Possible Type-II Multiferroicity in alpha-RuCl3
• Multinode quantum spin liquids in extended Kitaev honeycomb models: the view from variational Monte Carlo
• Polarization-dependent magnetic properties of periodically driven $\alpha$-RuCl${}_3$
• Quantum-classical crossover in the spin-1/2 Heisenberg-Kitaev kagome magnet
• From chiral d-wave to nodal line superconductivity in the harmonic honeycomb lattices
• Gapless excitations in non-Abelian Kitaev spin liquids with line defects
• Approximately-symmetric neural networks for quantum spin liquids
• Energy dynamics in a generalized compass chain
• Interedge spin resonance in the Kitaev quantum spin liquid
• Kinetic Ferromagnetism and Topological Magnons of the Hole-Doped Kitaev Spin Liquid
• Nature of Topological Phase Transition of Kitaev Quantum Spin Liquids
• Ground state properties of the Heisenberg-compass model on the square lattice
• Phonon Dynamics in the Chiral Kitaev Spin Liquid
• Unraveling the magnetic ground-state in alkali-metal lanthanide oxide Na${}_2$PrO${}_3$
• Left-left-right-right magnetic order in spin-1/2 Kitaev-Heisenberg chain
• First order density wave like transitions in surface doped Na${}_2$IrO${}_3$
• Anion-Anion Bonding and the Topology in Ternary Iridium Seleno-Stannides
• Non-local features of the spin-orbit exciton in Kitaev materials
• Revelation of Mott insulating state in layered honeycomb lattice Li${}_2$RuO${}_3$
• Phase diagram of the Kitaev-Heisenberg model using various finite-size clusters
• Emergent SU(2)${}_1$ conformal symmetry in the spin-1/2 Kitaev-Gamma chain with a Dzyaloshinskii-Moriya interaction
• Projective-symmetry-group analysis of inelastic light scattering in Kitaev spin balls
• Dynamic structure factor of the antiferromagnetic Kitaev model in large magnetic fields
• Nonsymmorphic bosonization in one-dimensional generalized Kitaev spin-1/2 models
• Equivalence between vortices, twists and chiral gauge fields in Kitaev's honeycomb lattice model
• Topological property of a $t_{2g}^5$ system with a honeycomb lattice structure
• Efficient Method for Prediction of Meta-stable/Ground Multipolar Ordered States and its Application in Monolayer $\alpha$-\ce{RuX3} (X=Cl,I)
• Experimental percolation studies of two-dimensional honeycomb lattice: Li2Mn1-xTixO3
• Monte Carlo study of the critical properties of the three-dimensional 120-degree model
• Magnetic phases for two $t_{2g}$ holes with spin-orbit coupling and crystal field
• Gauge symmetry of excited states in projected entangled-pair state simulations
• Emergent magnetic order in the antiferromagnetic Kitaev model with a [111] field
• Sound attenuation in the hyperhoneycomb Kitaev spin liquid
• Spin-orbit entangled moments and magnetic exchange interactions in cobalt-based honeycomb magnets BaCo${}_2$($X$O${}_4$)${}_2$ ($X$ = P, As, Sb)
• Thermal Hall conductivity with sign change in the Heisenberg-Kitaev kagome magnet
• High-field quantum spin liquid transitions and angle-field phase diagram of Kitaev magnet $\alpha$-RuCl${}_3$
• Collective excitations in Na${}_2$IrO${}_3$
• Dynamics of a single hole in the Heisenberg-Kitaev model: a self-consistent Born approximation study
• Signatures of a gapless quantum spin liquid in the Kitaev material Na${}_3$Co${}_{2-x}$Zn${}_x$SbO${}_6$
• Inferring Hidden Symmetries of Exotic Magnets from Detecting Explicit Order Parameters
• Effective Model for Rare-earth Kitaev Materials and its Classical Monte Carlo Simulation
• Minimal models of $\alpha$-Li${}_2$IrO${}_3$: On the range of the interactions, ground state properties, and magnetization processes
• Dynamic Surface Modification due to Effusion of Na in Na${}_2$IrO${}_3$
• Two-triplon excitations of the Kitaev-Heisenberg-Bilayer
• Pressure tuning of competing interactions on a honeycomb lattice
• Fracton and topological order in the XY checkerboard toric code
• Ferromagnetic spin-orbital liquid of dipolar fermions in zigzag lattices
• Zero point fluctuations for magnetic spirals and Skyrmions, and the fate of the Casimir energy in the continuum limit
• Simulating spin systems with Majorana networks
• Rotational phase transitions in antifluorite-type osmate and iridate compounds
• Phase transition of two-dimensional Ising models on the honeycomb and related lattices with striped random impurities
• Conductivity of Dirac-like surface states in correlated honeycomb transition metal oxide Mott insulators
• Universal excitonic superexchange in spin-orbit-coupled Mott insulators
• Orbitally-selective Breakdown of the Fermi Liquid and Simultaneous Enhancement of Metallic and Insulating States in Correlated Multi-band Systems with Spin-orbit Coupling
• Chirality-selective topological magnon phase transition induced by interplay of anisotropic exchange interactions in honeycomb ferromagnet
• Kitaev's exact solution approximated
• Spin disorder in an Ising honeycomb chain cobaltate
• Complex orders and chirality in the classical Kitaev-$\Gamma$ model
• Exchange Interactions in Rare-earth Magnets $A_2$PrO${}_3$ ($A$= alkali metals): Revisited
• Digital Quantum Simulation of the Kitaev Quantum Spin Liquid
• Sweet spot in the RuCl${}_3$ magnetic system: nearly ideal $j_{\mathrm{eff}}=1/2$ moments and maximized $K/J$ ratio under pressure
• Quantum criticality and emergent orders in the spin-1 bilinear-biquadratic-Kitaev chain
• Ferrimagnetism from quantum fluctuations in Kitaev materials
• Emergence of bond-dependent highly anisotropic magnetic interactions in Sr${}_4$RhO${}_6$: a theoretical study
• The ground state in a proximity to a possible Kitaev spin liquid: An undistorted honeycomb iridate NaxIrO3 (0.60 < x < 0.80)
• Quantum Spin Liquid phases in Kitaev Materials
• Quantum simulation and ground state preparation for the honeycomb Kitaev model
• ${\mathbb{Z}}_2$ vortices in the ground states of classical Kitaev-Heisenberg models
• Electron quasi-itinerancy intertwined with quantum order by disorder in pyrochlore iridate magnetism
• Spectrum of the hole excitation in spin-orbit Mott insulator Na${}_2$IrO${}_3$
• Phase transition induced for external field in tree-dimensional isotropic Heisenberg antiferromagnet
• Emergent Quadrupolar Order in the Spin-$1/2$ Kitaev-Heisenberg Model
• Anyon polarons as a window into competing phases of the Kitaev honeycomb model under a Zeeman field
• First-principles-based calculation of branching ratio for 5$\mathbf{d}$, 4$\mathbf{d}$, and 3$\mathbf{d}$ transition metal systems
• Probing Majorana Modes via Local Spin Dynamics
• A set-up for Hard X-ray Time-resolved Resonant Inelastic X-ray Scattering at SwissFEL
• Static and dynamical magnetic properties of the extended Kitaev-Heisenberg model with spin vacancies
• Monoclinic distortion in hyperhoneycomb Kitaev material $\beta$-ZnIrO${}_3$ revealed by improved sample quality
• Anisotropic Coulomb exchange as source of Kitaev and off-diagonal symmetric anisotropic couplings
• Phase diagram for Hole-Doped Kitaev System on the Honeycomb Lattice
• Pairing tendencies in the doped Kitaev-Heisenberg model
• Collective states of interacting $D(D_3)$ non-Abelian anyons
• Quantum selection of order and dynamic properties of Kitaev-Heisenberg ferromagnet on a triangular lattice
• Integer vs. half-integer spin on an approximate honeycomb lattice
• Topological Aspects of Antiferromagnets
• One-dimensional frustrated plaquette compass model: Nematic phase and spontaneous multimerization
• Fluctuation-induced first order phase transitions in Kitaev-like $d^4$ honeycomb magnet
• Single-shot quantum measurements sketch quantum many-body states
• The free energy of anisotropic quantum spin systems: Functional integral representation
• Eleven Competing Phases in the Heisenberg-Gamma (J$\Gamma$) Ladder
• Topological Majorana flat bands in the Kitaev model on a Bishamon-kikko lattice
• Ground-state phase diagram of anisotropically interacting Heisenberg-$\Gamma$ models on a honeycomb lattice
• Vacancies in generic Kitaev spin liquids
• Efficient iPEPS Simulation on the Honeycomb Lattice via QR-based CTMRG
• A primer on Kitaev Model: Basic aspects, material realization, and recent experiments
• Valence-Bond Solid phases in the spin-$1/2$ Kekule-Heisenberg model
• A $j_{\mathrm{eff}}=1/2$ pseudospinon continuum in CaIrO${}_3$
• Formulation of spin Nernst effect for spin-nonconserving insulating magnets
• Assembling Kitaev honeycomb spin liquids from arrays of 1D symmetry protected topological phases
• Direct evidence for anisotropic magnetic interaction in $\alpha$-RuCl${}_3$ from polarized inelastic neutron scattering
• Majorana Gap Formation in the Anisotropic Kitaev Model with Ordered Flux Configuration
• Real-time control of non-Abelian anyons in Kitaev spin liquid under energy dissipation
• Deciphering competing interactions of Kitaev-Heisenberg-$\Gamma$ system in clusters: part II -- dynamics of Majorana fermions
• Deciphering competing interactions of Kitaev-Heisenberg-$\Gamma$ system in clusters: part I -- static properties
• Orbital homology of p and t2g orbitals in models and materials
• Order-by-disorder from Schwinger bosons in a frustrated honeycomb ferromagnet
• Schwinger boson theory for $S=1$ Kitaev quantum spin liquids
• Real-space spectral simulation of quantum spin models: Application to generalized Kitaev models
• Field-induced phase transitions in the Kitaev-Heisenberg model: A sign-problem-free quantum Monte Carlo study and possible application to $\alpha$-RuCl3
• Phase diagram of the Kitaev-Hubbard model: ${\mathbb{Z}}_2$ slave-spin and QMC approaches
• Quantum gap and spin-wave excitations in the Kitaev model on a triangular lattice
• Temperature-dependent magnetic anisotropy from directional-dependent interactions
• Quantum phase transitions in the Kitaev--Heisenberg model on a single hexagon
• Enhanced Magnetism and Phase Transitions in Ultrathin Quantum Spin Liquid Na2IrO3 Flakes
• Bond disorder in extended Heisenberg-Kitaev models: Spin textures and in-gap states in the high-field regime
• Static and Dynamical Spin Correlations in the Kitaev Model at Finite Temperatures via Green's Function Equation of Motion
• Crystal growth and magnetic anisotropy in the spin-chain ruthenate Na${}_2$RuO${}_4$
• The Kekulé-Kitaev model: linear and non-linear responses and magnetic field effects
• Strain-induced Landau levels of Majorana fermions in an anisotropically interacting Kitaev model on a honeycomb lattice
• Spin-orbital magnetism in moiré Wigner molecules
• Quantum phase transitions in the alternating XY chain with three-site interactions
• Raman spectroscopy of anyons in generic Kitaev spin liquids
• Long-range spin correlations in a honeycomb spin model with magnetic field
• Computational exploration of a viable route to Kitaev-quantum spin liquid phase in OsCl${}_3$
• Robustness of Vacancy-Bound Non-Abelian Anyons in the Kitaev Model in a Magnetic Field
• The Role of the Third Dimension in Searching Majorana Fermions in $\alpha$-RuCl${}_3$ via Phonons
• Crystal field splittings and magnetic ground state of the square-lattice antiferromagnets YbBi2ClO4 and YbBi2IO4 with Jeff = 1/2
• From Density Functional Theory to Spin Hamiltonians: Magnetism in $d^5$ Honeycomb Compound OsCl${}_3$
• Correlated Electrons and Magnetism in Double Perovskites
• Intersite Coulomb repulsion driven quadrupole instability and magnetic ordering in the orbital frustrated Ba${}_2$MgReO${}_6$
• Magnetic field effects on the Kitaev model coupled to environment
• Ground state of the staggered Heisenberg-$\Gamma$ honeycomb model in a magnetic field
• Tuning the Chern number of Kitaev quantum spin liquid
• Strategy to Extract Kitaev Interaction using Symmetry in Honeycomb Mott Insulators
• Vortex creation and control in the Kitaev spin liquid by local bond modulations
• Ligand-SOC enhanced $4f^5$ Kitaev antiferromagnet: Application to ${\mathrm{SmI}}_3$
• Non-Loudon-Fleury Raman scattering in spin-orbit coupled Mott insulators
• 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
• Designer quantum matter in van der Waals heterostructures
• Disorder, Low-Energy Excitations, and Topology in the Kitaev Spin Liquid
• Stability of ordered and disordered phases in the Heisenberg-Kitaev model in a magnetic field
• Trigonal distortion in the Kitaev candidate honeycomb magnet BaCo2(AsO4)2
• Metallic ruthenium ilmenites: first-principles study of MgRuO${}_3$ and CdRuO${}_3$
• A comparative study of $2d$ Ising model at different boundary conditions using non-deterministic Hexagonal Cellular Automata
• Signatures of a Majorana-Fermi surface in the Kitaev magnet Ag${}_3$LiIr${}_2$O${}_6$
• Dominant Kitaev Interaction and Field-induced Quantum Disordered Phase in the Cobaltate Na${}_2$Co${}_2$TeO${}_6$
• Metallic conductivity on Na-deficient structural domain walls in the spin-orbit Mott insulator Na${}_2$IrO${}_3$
• Finite-Size Spectral Signatures of Order by Quantum Disorder: A Perspective from Anderson's Tower of States
• Magnetic excitations in the Kitaev material Na${}_2$IrO${}_3$ studied by neutron scattering
• Dynamical Response of the Kitaev Spin Liquid under Third-Nearest-Neighbor Heisenberg Interaction
• Classification of magnon thermal Hall systems based on U(1) to non-Abelian gauge fields
• Kitaev interaction and possible spin liquid state in CoI2 and Co2/3Mg1/3I2