Generic spin model for the honeycomb iridates beyond the Kitaev limit

Abstract

Recently, realizations of Kitaev physics have been sought in the A2IrO3 family of honeycomb iridates, originating from oxygen-mediated exchange through edge-shared octahedra. However, for the j = 1/2 Mott insulator in these materials exchange from direct d-orbital overlap is relevant, and it was proposed that a Heisenberg term should be added to the Kitaev model. Here we provide the generic nearest-neighbour spin Hamiltonian when both oxygen-mediated and direct overlap are present, containing a bond dependent off-diagonal exchange in addition to Heisenberg and Kitaev terms. We analyze this complete model using a combination of classical techniques and exact diagonalization. Near the Kitaev limit, we find new magnetic phases, 120 degree and incommensurate spiral order, as well as extended regions of zigzag and stripy order. Possible applications to Na2IrO3 and Li2IrO3 are discussed.

5 pages, 3 figures; added supplementary material and journal reference; fixed typos

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Cited by in corpus (544)

• Quantum Spin Liquids
• Magnetic 2D materials and heterostructures
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• Kitaev quantum spin liquid - concept and materialization
• $\alpha$-RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
• Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
• Neutron tomography of magnetic Majorana fermions in a proximate quantum spin liquid
• Models and Materials for Generalized Kitaev Magnetism
• Challenges in Design of Kitaev Materials: Magnetic Interactions from Competing Energy Scales
• Scattering Continuum and Possible Fractionalized Excitations in $\alpha$-RuCl${}_3$
• Magnetic order in $\alpha$-RuCl${}_3$: a honeycomb lattice quantum magnet with strong spin-orbit coupling
• Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
• Interacting topological insulators: a review
• Low-temperature crystal and magnetic structure of $\alpha$-RuCl3
• Hyper-honeycomb iridate $\beta$-Li2IrO3 as a platform for Kitaev magnetism
• Evidence for a Field-induced Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• Kitaev magnetism in honeycomb RuCl3 with intermediate spin-orbit coupling
• Pseudospin exchange interactions in d^7 cobalt compounds: Possible realization of the Kitaev model
• Half-integer quantized anomalous thermal Hall effect in the Kitaev material $\alpha$-RuCl${}_3$
• Spin-orbit excitation energies, anisotropic exchange, and magnetic phases of honeycomb RuCl3
• Breakdown of Magnons in a Strongly Spin-Orbital Coupled Magnet
• Hunting Majorana Fermions in Kitaev Magnets
• Crystal structure and magnetism in $\alpha$-RuCl3: an ab-initio study
• Kitaev interactions between j=1/2 moments in honeycomb Na2IrO3 are large and ferromagnetic: insights from ab initio quantum chemistry calculations
• Experimental identification of quantum spin liquids
• Orbital effects in solids: basics, recent progress and opportunities
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• Spin-wave excitations evidencing the Kitaev interaction in single crystalline $\alpha$-RuCl${}_3$
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• First-Principles Study of the Honeycomb-Lattice Iridates Na2IrO3 in the Presence of Strong Spin-Orbit Interaction and Electron Correlations
• Kitaev Spin Liquid in 3d Transition Metal Compounds
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• Anomalous thermal conductivity and magnetic torque response in the honeycomb magnet $\alpha$-RuCl${}_3$
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• Field-induced quantum criticality in the Kitaev system $\alpha$-RuCl${}_3$
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• Theory of Magnetic Phase Diagrams in Hyperhoneycomb and Harmonic-honeycomb Iridates
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• Quantum spin liquid at finite temperature: proximate dynamics and persistent typicality
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• Theory of Raman response in three-dimensional Kitaev spin liquids: application to $\beta -$ and $\gamma -$Li${}_2$IrO${}_3$ compounds
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• Incipient and well-developed entropy plateaus in spin-S Kitaev models
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• Magnetic Field Induced Competing Phases in Spin-Orbital Entangled Kitaev Magnets
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• Heisenberg-Kitaev model in a magnetic field: $1/S$ expansion
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• Destabilization of magnetic order in a dilute Kitaev spin liquid candidate
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• Role of Hydrogen in the spin-orbital-entangled quantum liquid candidate H${}_3$LiIr${}_2$O${}_6$
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• Magnetic structure and excitation spectrum of the hyperhoneycomb Kitaev magnet $\beta$-Li${}_2$IrO${}_3$
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• Spin-orbit coupled systems in the "atomic" limit: rhenates, osmates, iridates
• Vison Crystals in an Extended Kitaev Model on the Honeycomb Lattice
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• Kondo impurities in the Kitaev spin liquid: Numerical renormalization group solution and gauge-flux-driven screening
• Identification of a Kitaev Quantum Spin Liquid by Magnetic Field Angle Dependence
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• Theory of magnetism in the van der Waals magnet CrI3
• Magnetic excitations of the field induced states in BaCo2(AsO4)2 probed by time-domain terahertz spectroscopy
• Modified Curie-Weiss Law for $j_{\mathrm{eff}}$ Magnets
• Floquet engineering of Mott insulators with strong spin-orbit coupling
• Characterizing quantum criticality and steered coherence in the XY-Gamma chain
• Field-induced QCD${}_3$-Chern-Simons quantum criticalities in Kitaev materials
• Revealing frustrated local moment model for pressurized hyperhoneycomb iridate: paving a way toward quantum spin liquid
• Magnon dispersion and dynamic spin response in three-dimensional spin models for $\alpha$-RuCl${}_3$
• SU(4)-symmetric spin-orbital liquids on the hyperhoneycomb lattice
• Gapless quantum spin liquid in a honeycomb $\Gamma$ magnet
• 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
• Rare-earth chalcohalides: A family of van der Waals layered Kitaev spin liquid candidates
• Floquet engineering of Kitaev quantum magnets
• Comprehensive study of the phase diagram of the spin-1/2 Kitaev-Heisenberg-Gamma chain
• Computational design of $f$-electron Kitaev magnets: honeycomb and hyperhoneycomb compounds $A_2$PrO${}_3$ ($A=$ alkali metals)
• Tunneling spectroscopy as a probe of fractionalization in 2D magnetic heterostructures
• Theory of a quantum spin liquid in hydrogen-intercalated honeycomb iridate, H3LiIr2O6
• $ab$-$initio$ Approaches for Low-Energy Spin Hamiltonians
• Magnetic anisotropy of the alkali iridate Na${}_2$IrO${}_3$ at high magnetic fields: evidence for strong ferromagnetic Kitaev correlations
• Observation of a random singlet state in a diluted Kitaev honeycomb material
• Inverse Faraday effect in Mott insulators
• Analysis of the optical conductivity for A2IrO3 (A = Na, Li) from first principles
• Resonant Raman scattering theory for Kitaev models and their Majorana fermion boundary modes
• Interlayer Coupling Effect on a Bilayer Kitaev Model
• Phonon-mediated dimensional crossover in bilayer CrI3
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• Field-angle dependence of thermal Hall conductivity in magnetically ordered Kitaev-Heisenberg system
• Multinode quantum spin liquids on the honeycomb lattice
• Dynamics of a j=3/2 quantum spin liquid
• Hole propagation in the Kitaev-Heisenberg model: From quasiparticles in quantum Neel states to non-Fermi liquid in the Kitaev phase
• Bond ordering and phase transitions in Na${}_2$IrO${}_3$ under high pressure
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• Two-dimensional Valence Bond Solid (AKLT) states from $t_{2g}$ electrons
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• Instabilities of spin-1 Kitaev spin liquid phase in presence of single-ion anisotropies
• Magnetoelectric generation of a Majorana-Fermi surface in Kitaev's honeycomb model
• Thermal spin dynamics of Kitaev magnets $-$ scattering continua and magnetic field induced phases within a stochastic semiclassical approach
• Electronic and magnetic properties of iridium ilmenites $A$IrO${}_3$ ($A=$ Mg, Zn, and Mn)
• Machine-Learned Phase Diagrams of Generalized Kitaev Honeycomb Magnets
• Honeycomb rare-earth magnets with anisotropic exchange interactions
• Vison crystals, chiral and crystalline phases in the Yao-Lee model
• 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
• Unusual spin dynamics in the low-temperature magnetically ordered state of Ag${}_3$LiIr${}_2$O${}_6$
• Magnon-spinon dichotomy in the Kitaev hyperhoneycomb $\beta$-Li${}_2$IrO${}_3$
• Spin-orbit effects in pentavalent Iridates: Models and materials
• Quantum liquids of the S=3/2 Kitaev honeycomb and related Kugel-Khomskii models
• Generic model for hyperkagome iridate in the local moment regime
• Doping-induced redistribution of magnetic spectral weight in substituted hexaborides Ce${}_{1-x}$La${}_x$B${}_6$ and Ce${}_{1-x}$Nd${}_x$B${}_6$
• Momentum-independent magnetic excitation continuum in the honeycomb iridate H${}_3$LiIr${}_2$O${}_6$
• Successive spin-flop transitions of Neel-type antiferromagnet Li${}_2$MnO${}_3$ single crystal with honeycomb-lattice
• Kitaev Spin Liquid Candidate OsxCl3 Comprised of Honeycomb Nano-Domains
• Evidence for magnetic fractional excitations in a Kitaev quantum-spin-liquid candidate $\alpha$-RuCl${}_3$
• Strain-induced topological transition in SrRu${}_2$O${}_6$ and CaOs${}_2$O${}_6$
• 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
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• Topological and magnetic phases with strong spin-orbit coupling on the hyperhoneycomb lattice
• Spin dynamics of the generalized quantum spin compass chain
• Quantum phase transitions in the spin-1 Kitaev-Heisenberg chain
• Insights into the Anisotropic Spin-$S$ Kitaev Chain
• The Saga of $\alpha$-RuCl${}_3$: Parameters, Models, and Phase Diagrams
• Spin vestigial orders in extended Heisenberg-Kitaev models near hidden SU(2) points: Application to Na${}_2$Co${}_2$TeO${}_6$
• Field stability of Majorana spin liquids in antiferromagnetic Kitaev models
• Quadrupolar spin liquid, octupolar Kondo coupling and odd-frequency superconductivity in an exactly solvable model
• Collective spin dynamics of Z2 vortex crystals in triangular Kitaev-Heisenberg antiferromagnets
• First-principles Study on the Magnetic Interactions in Honeycomb Na2IrO3
• Non-Kitaev spin liquids in Kitaev materials
• Extent of frustration in the classical Kitaev-$\Gamma$ model via bond anisotropy
• Local spin structure of the $\alpha$-RuCl${}_3$ honeycomb-lattice magnet observed via muon spin rotation/relaxation
• Raman scattering in correlated thin films as a probe of chargeless surface states
• Ground state phase diagram of Kitaev-Heisenberg model on honeycomb-triangular lattice
• Comparing the influence of Floquet dynamics in various Kitaev-Heisenberg materials
• Electronic excitations in $\gamma$-Li${}_2$IrO${}_3$
• Field-induced phase transitions and quantum criticality in a honeycomb antiferromagnet Na3Co2SbO6
• Phase diagram of the quantum spin-1/2 Heisenberg-$\Gamma$ model on a frustrated zigzag chain
• Field Induced Chiral Soliton Phase in the Kitaev Spin Chain
• Field-induced Kitaev multipolar liquid in spin-orbit coupled $d^2$ honeycomb Mott insulators
• Fermionic approach to variational quantum simulation of Kitaev spin models
• Magnetic vortex liquid and anomalous thermal Hall conductivity in frustrated magnets with bond-dependent interactions
• Testing Ising Topological Order in $\alpha$-RuCl${}_3$ Under In-Plane Magnetic Fields
• Ground-state properties of the $K-\Gamma$ model on a honeycomb lattice
• Majorana edge magnetization in the Kitaev honeycomb model
• Dynamical structure factor in the non-Abelian phase of the Kitaev honeycomb model in the presence of quenched disorder
• Classification and properties of quantum spin liquids on the hyperhoneycomb lattice
• Spin dynamics of counterrotating Kitaev spirals via duality
• Variational Monte Carlo Method in the Presence of Spin-Orbit Interaction and Its Application to the Kitaev and Kitaev-Heisenberg Model
• Heisenberg-Kitaev Models on Hyperhoneycomb and Stripyhoneycomb Lattices: 3D-2D Equivalence of Ordered States and Phase Diagrams
• Introducing the monoclinic polymorph of the Kitaev magnet Na${}_2$Co${}_2$TeO${}_6$
• Symmetry-protected gapless spin liquids on the strained honeycomb lattice
• Proximate Kitaev system for an intermediate magnetic phase in in-plane magnetic fields
• Counterroating incommensurate magnetic order and strong quantum fluctuations in the honeycomb layers of $\mathrm{NaN}{\mathrm{i}}_2\mathrm{Bi}{\mathrm{O}}_6$
• Possible Quantum Paraelectric State in Kitaev Spin Liquid Candidate H${}_3$LiIr${}_2$O${}_6$
• Symmetry analysis of bond-alternating Kitaev spin chains and ladders
• Low temperature enhancement of ferromagnetic Kitaev correlations in α-RuCl3
• Spin wave theory of one-dimensional generalized Kitaev model
• 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
• Phases and Quantum Phase Transitions in an Anisotropic Ferromagnetic Kitaev-Heisenberg-$\Gamma$ Magnet
• Dissipationless Spin Current Generation in Kitaev's Chiral Spin Liquid
• Ferrimagnetism from triple-q order in Na${}_2$Co${}_2$TeO${}_6$
• Neutron spectroscopy evidence for a possible magnetic-field-induced gapless quantum-spin-liquid phase in a Kitaev material $\alpha$-RuCl${}_3$
• Discovering momentum-dependent magnon spin texture in insulating antiferromagnets: Role of the Kitaev interaction
• Information propagation in one-dimensional XY-$\Gamma$ chains
• Topological edge states in single layers of honeycomb materials with strong spin-orbit coupling
• A Poor Man's Derivation of Quantum Compass-Heisenberg Interaction: Superexchange Interaction in J-J Coupling Scheme
• Topological Nematic Phase Transition in Kitaev Magnets Under Applied Magnetic Fields
• Magnetic Excitations and Interactions in the Kitaev Hyperhoneycomb Iridate $\beta$-Li${}_2$IrO${}_3$
• Spin excitation continuum to topological magnon crossover and thermal Hall conductivity in Kitaev magnets
• Disorder effects in the Kitaev-Heisenberg model
• Single-crystal study of the honeycomb XXZ magnet BaCo${}_2$(PO${}_4$)${}_2$ in magnetic fields
• Valence bond glass state in the 4$d^1$ fcc antiferromagnet Ba${}_2$LuMoO${}_6$
• Interplay of magnetism and dimerization in pressurized Kitaev material $\beta$-Li${}_2$IrO${}_3$
• Odd-Parity Superconductivity Driven by Octahedra Rotations in Iridium Oxides
• Light-induced magnetization driven by interorbital charge motion in a spin-orbit assisted Mott insulator alpha-RuCl3
• Model Hamiltonian for strongly-correlated systems: Systematic, self-consistent, and unique construction
• Revealing divergent length scales using quantum Fisher information in the Kitaev honeycomb model
• Optical magnons with dominant bond-directional exchange interactions in a honeycomb lattice iridate $\alpha$-Li${}_2$IrO${}_3$
• Symmetry Analysis of Tensors in the Honeycomb Lattice of Edge-Sharing Octahedra
• First demonstration of tuning between the Kitaev and Ising limits in a honeycomb lattice
• Thermal conductivity of local moment models with strong spin-orbit coupling
• Emergent quantum phases in a frustrated J1-J2 Heisenberg model on hyperhoneycomb lattice
• Spontaneous Chiral-Spin Ordering in Spin-Orbit Coupled Honeycomb Magnets
• RIXS interferometry and the role of disorder in the quantum magnet Ba${}_3$Ti${}_{3-x}$Ir${}_x$O${}_9$
• Large off diagonal exchange couplings and spin liquid states in ${\mathbf{C}}_3$ symmetric iridates
• Evidences for the random singlet phase in a new honeycomb iridate SrIr${}_2$O${}_{6-\delta }$
• Unconventional magnetic field response of the hyperhoneycomb Kitaev magnet $\beta -{\text{Li}}_2{\text{IrO}}_3$
• CaCo${}_2$TeO${}_6$: A topochemically prepared 3$d^7$ honeycomb Kitaev magnet
• Phonon Dynamics in the Generalized Kitaev Spin Liquid
• Evidence of Kitaev interaction in the monolayer 1T-CrTe${}_2$
• Oriented propagation of magnetization due to chiral edge modes in Kitaev-type models
• A continuum of compass spin models on the honeycomb lattice
• Spin liquid like Raman signatures in hyperkagome iridate Na${}_4$Ir${}_3$O${}_8$
• Weak-coupling to strong-coupling quantum criticality crossover in a Kitaev quantum spin liquid $\alpha$-RuCl${}_3$
• Magnon dispersion in bilayers of two-dimensional ferromagnets
• Quantum paramagnetism in the hyperhoneycomb Kitaev magnet $\beta$-ZnIrO${}_3$
• Anisotropic spin model and multiple-$Q$ states in cubic systems
• 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
• Differentiable programming tensor networks for Kitaev magnets
• Microscopic Roadmap to a Yao-Lee Spin-Orbital Liquid
• Symmetry-protected topological magnons in three dimensional Kitaev materials
• Material-based analysis of spin-orbital Mott insulators
• Single-hole spectra of Kitaev spin liquids: from dynamical Nagaoka ferromagnetism to spin-hole fractionalization
• Dynamics of fractionalized mean-field theories: consequences for Kitaev materials
• Vector chirality for effective total momentum $J_{\text{eff}}$ in a nonfrustrated Mott insulator: Effects of strong spin-orbit coupling and broken inversion symmetry
• Spin-1/2 XX chains with modulated Gamma interaction
• Magnetic-field Induced Topological Transitions and Thermal Conductivity in a Generalized Kitaev Model
• Chiral phonons induced from spin dynamics via magnetoelastic anisotropy
• Magnetic States of Graphene Proximitized Kitaev Materials
• Islands of Chiral Solitons in Integer Spin Kitaev Chains
• Magnon Condensation in Dimerized Antiferromagnets with Spin-Orbit Coupling
• $J=1/2$ Pseudospins and $d$-$p$ Hybridization in the Kitaev Spin Liquid Candidates Ru$X_3$ ($X$ = Cl, Br, I)
• Orbital Magnetic Field Effects in Mott Insulators with Strong Spin-Orbit Coupling
• Transforming from Kitaev to Disguised Ising Chain: Application to CoNb${}_2$O${}_6$
• Robust triple-q magnetic order with trainable spin vorticity in Na${}_2$Co${}_2$TeO${}_6$
• Active orbital degree of freedom and potential spin-orbit-entangled moments in Kitaev magnet candidate BaCo${}_2$(AsO${}_4$)${}_2$
• Origin of nonsymmorphic bosonization formulas in generalized antiferromagnetic Kitaev spin-$\frac{1}{2}$ chains from a renormalization-group perspective
• Topological phase diagrams of in-plane field polarized Kitaev magnets
• Signatures of non-Loudon-Fleury Raman scattering in the Kitaev magnet $\beta$-Li${}_2$IrO${}_3$
• Confinement transition in a Kitaev-like honeycomb model with bond anisotropy
• Sign Changes in Heat, Spin, and Orbital Magnon Transport Coefficients in Kitaev Ferromagnets
• Twice Hidden String Order and Competing Phases in the Spin-1/2 Kitaev-Gamma Ladder
• Quantum phase transition between spin liquid and spin nematics in spin-1 Kitaev honeycomb model
• Kitaev-Heisenberg model on the star lattice: From chiral Majorana fermions to chiral triplons
• Interplay of magnetic field and trigonal distortion in the honeycomb $\Gamma$ model: Occurrence of a spin-flop phase
• Sachdev-Ye-Kitaev type physics in the strained Kitaev honeycomb model
• Strain-induced phase diagram of the $S=\frac{3}{2}$ Kitaev material $\mathrm{CrSiT}{\mathrm{e}}_3$
• Hydrostatic pressure effect on Co-based honeycomb magnet BaCo2(AsO4)2
• Theoretical analysis of single-ion anisotropy in $d^3$ Mott insulators
• Extended Quantum Spin Liquid with Spinon-like Excitations in an Anisotropic Kitaev-Gamma Model
• Field-driven spatiotemporal manipulation of Majorana zero modes in a Kitaev spin liquid
• Topological phases of higher Chern numbers in Kitaev-Heisenberg ferromagnet with further-neighbor interactions
• 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
• Anisotropic antiferromagnetic order in spin-orbit coupled trigonal lattice Ca2Sr2IrO6
• 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 $\alpha -\mathrm{RuC}{\mathrm{l}}_3$
• Perturbed Kitaev model: excitation spectrum and long-ranged spin correlations
• Dynamical response theory of interacting Majorana fermions and its application to generic Kitaev quantum spin liquids in a field
• On the multi-$\mathbf{q}$ characteristics of magnetic ground states of honeycomb cobalt oxides
• Magnetic order and spin excitations in the Kitaev--Heisenberg model on the honeycomb lattice
• Multiband $d-p$ model and self-doping in the electronic structure of Ba${}_2$IrO${}_4$
• Raman Scattering Polarization and Single Spinon Identification in Two-Dimensional Kitaev Quantum Spin Liquids
• Bound states of fractionalized excitations in a modulated Kitaev spin liquid
• Orbital Frustration and Emergent Flat Bands
• Gapless excitations in non-Abelian Kitaev spin liquids with line defects
• Disentangling spin excitation continua in classical and quantum magnets using 2D nonlinear spectroscopy
• Exploring rare-earth Kitaev magnets by massive-scale computational analysis
• Multinode quantum spin liquids in extended Kitaev honeycomb models: the view from variational Monte Carlo
• Role of disorder in the electronic and magnetic properties of Ag${}_3$LiIr${}_2$O${}_6$
• Quantum spin liquid from electron-phonon coupling
• Topological phase transitions and thermal Hall effect in a noncollinear spin texture
• Robustness of entropy plateaus: A case study of triangular Ising antiferromagnets
• Polarization-dependent magnetic properties of periodically driven $\alpha$-RuCl${}_3$
• Kinetic Ferromagnetism and Topological Magnons of the Hole-Doped Kitaev Spin Liquid
• Chiral spin state and nematic ferromagnet in the spin-1 Kitaev-$\Gamma$ model
• Magnetic versus nonmagnetic polymorphs of RuBr${}_3$ under pressure
• High Chern numbers and topological flat bands in high-field polarized Kitaev magnets on the star lattice
• Anisotropic magnetic interactions in a candidate Kitaev spin liquid close to a metal-insulator transition
• Exploration of trivial and non-trivial electronic phases and of collinear and non-collinear magnetic phases in low-spin d${}^5$ perovskites
• Topological property of a $t_{2g}^5$ system with a honeycomb lattice structure
• 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
• From linear to circular polarized light -- Floquet engineering in Kitaev-Heisenberg materials with Lissajous figures
• Non-local features of the spin-orbit exciton in Kitaev materials
• Phonon Dynamics in the Chiral Kitaev Spin Liquid
• Theory of quasiparticle interference in Kitaev quantum spin liquids
• Unraveling the magnetic ground-state in alkali-metal lanthanide oxide Na${}_2$PrO${}_3$
• Giant anisotropic magnetoresistance in few-layer α-RuCl3 tunnel junctions
• Anion-Anion Bonding and the Topology in Ternary Iridium Seleno-Stannides
• Nonsymmorphic bosonization in one-dimensional generalized Kitaev spin-1/2 models
• Left-left-right-right magnetic order in spin-1/2 Kitaev-Heisenberg chain
• Successive topological phase transitions in two distinct spin-flop phases on the honeycomb lattice
• Proximity-induced sequence of field transitions in Kitaev candidate BaCo${}_2$(AsO${}_4$)${}_2$
• Experimental percolation studies of two-dimensional honeycomb lattice: Li2Mn1-xTixO3
• Static and fluctuating zigzag order, and possible signatures of Kitaev physics, in torque measurements of $\alpha$-RuCl${}_3$
• Multipolar spin liquid in an exactly solvable model for $j_{\mathrm{eff}}=\frac{3}{2}$ moments
• Thermal Hall conductivity with sign change in the Heisenberg-Kitaev kagome magnet
• Effective Model for Rare-earth Kitaev Materials and its Classical Monte Carlo Simulation
• Interplay of Kitaev Interaction and Off-diagonal Exchanges: Exotic Phases and Quantum Phase Diagrams
• Pressure tuning of competing interactions on a honeycomb lattice
• Quantum subspace expansion approach for simulating dynamical response functions of Kitaev spin liquids
• Dynamics of a single hole in the Heisenberg-Kitaev model: a self-consistent Born approximation study
• Minimal models of $\alpha$-Li${}_2$IrO${}_3$: On the range of the interactions, ground state properties, and magnetization processes
• Human-machine collaboration: ordering mechanism of rank-2 spin liquid on breathing pyrochlore lattice
• Weak ergodicity breaking with isolated integrable sectors
• Quantum incommensurate Skyrmion crystals and Commensurate to In-commensurate transitions in cold atoms and materials with spin orbit couplings in a Zeeman field
• Collective excitations in Na${}_2$IrO${}_3$
• Gapless state of interacting Majorana fermions in a strain-induced Landau level
• Universal excitonic superexchange in spin-orbit-coupled Mott insulators
• Recursive algorithm for generating high-temperature expansions for spin systems and the chiral non-linear susceptibility
• Spin-orbit entangled moments and magnetic exchange interactions in cobalt-based honeycomb magnets BaCo${}_2$($X$O${}_4$)${}_2$ ($X$ = P, As, Sb)
• Induction of Large Magnetic Anisotropy Energy and Formation of Multiple Dirac States in SrIrO${}_3$ Films: Role of correlation and spin-orbit coupling
• Anyon polarons as a window into competing phases of the Kitaev honeycomb model under a Zeeman field
• Low-energy spin dynamics in a Kitaev material Na3Ni2BiO6 investigated by NMR
• Exchange Interactions in Rare-earth Magnets $A_2$PrO${}_3$ ($A$= alkali metals): Revisited
• Dzyaloshinskii-Moriya Interaction between Multipolar Moments in $5d^1$ Systems
• Pairing tendencies in the doped Kitaev-Heisenberg model
• Field-Induced Ordered Phases in Anisotropic Spin-1/2 Kitaev Chains
• Anisotropic Coulomb exchange as source of Kitaev and off-diagonal symmetric anisotropic couplings
• Quantum Spin Liquid phases in Kitaev Materials
• Intermediate phases in $\alpha$-RuCl${}_3$ under in-plane magnetic field via interlayer spin interactions
• Correcting noisy quantum gates with shortcuts to adiabaticity
• Ferrimagnetism from quantum fluctuations in Kitaev materials
• 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${}_3$
• Controlling the RKKY interaction and heat transport in a Kitaev spin liquid via $Z_2$ flux walls
• Phase diagram for Hole-Doped Kitaev System on the Honeycomb Lattice
• Complex orders and chirality in the classical Kitaev-$\Gamma$ model
• Confinement, reduced entanglement, and spin-glass order in a random quantum spin-ice model
• A primer on Kitaev Model: Basic aspects, material realization, and recent experiments
• Assembling Kitaev honeycomb spin liquids from arrays of 1D symmetry protected topological phases
• Single-shot quantum measurements sketch quantum many-body states
• Quantum selection of order and dynamic properties of Kitaev-Heisenberg ferromagnet on a triangular lattice
• Ground-state phase diagram of anisotropically interacting Heisenberg-$\Gamma$ models on a honeycomb lattice
• Eleven Competing Phases in the Heisenberg-Gamma (J$\Gamma$) Ladder
• The free energy of anisotropic quantum spin systems: Functional integral representation
• Topological Aspects of Antiferromagnets
• 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
• Coupled spin-1/2 antiferromagnetic chain Cs${}_2$LiRuCl${}_6$ with partially disordered crystal lattice
• Integer vs. half-integer spin on an approximate honeycomb lattice
• Electric polarization near vortices in the extended Kitaev model
• Vacancies in generic Kitaev spin liquids
• Real-time control of non-Abelian anyons in Kitaev spin liquid under energy dissipation
• Quantum spin models of commensurate $p$-wave magnets
• Ferrichiral skyrmions with sublattice-resolved chirality in extended Kitaev model in triangular lattice
• Coexistence of static and dynamic local magnetic fields in an S = 3/2 honeycomb lattice antiferromagnet Co2Te3O8
• Photoinduced Pseudospin Polarization in a Three-Orbital Hubbard Model
• Topology-driven deconfined quantum criticality in magnetic bilayers
• Reviving Majorana zero modes in the spin-1/2 Kitaev ladder model
• Quantum phase transitions in the Kitaev--Heisenberg model on a single hexagon
• Enhanced Magnetism and Phase Transitions in Ultrathin Quantum Spin Liquid Na2IrO3 Flakes
• Thermodynamic behavior of modified integer-spin Kitaev models on the honeycomb lattice
• Raman spectroscopy of anyons in generic Kitaev spin liquids
• Pressure-dependent magnetism of the Kitaev candidate Li${}_2$RhO${}_3$
• Low-frequency and Moiré Floquet engineering: a review
• Temperature-dependent magnetic anisotropy from directional-dependent interactions
• Bond disorder in extended Heisenberg-Kitaev models: Spin textures and in-gap states in the high-field regime
• Response of a strongly interacting spin-orbit coupling system to a Zeeman field
• First-principles study of bulk stacking, $J_{\mathrm{eff}}$ picture, magnetic Hamiltonian, $g$ factors, and structural distortions of $\alpha$-RuCl${}_3$
• Signatures of Floquet Engineering in the proximal Kitaev Quantum Spin Liquid H${}_3$LiIr${}_2$O${}_6$ by tr-RIXS
• Static and Dynamical Spin Correlations in the Kitaev Model at Finite Temperatures via Green's Function Equation of Motion
• Kitaev interactions in the van der Waals antiferromagnet VBr3
• Magnetostriction in the $J$-$K$-$\Gamma$ model: Application of the numerical linked cluster expansion
• AMaRaNTA: Automated First-Principles Exchange Parameters In 2D Magnets
• The field-angle anisotropy of proximate Kitaev systems under an in-plane magnetic field
• From Density Functional Theory to Spin Hamiltonians: Magnetism in $d^5$ Honeycomb Compound OsCl${}_3$
• Ground state of the staggered Heisenberg-$\Gamma$ honeycomb model in a magnetic field
• Flux fractionalization transition in anisotropic $S=1$ antiferromagnets and dimer-loop models
• Low-temperature spin dynamics and absence of magnetic order in layered $\alpha$-RuI${}_3$
• Magnetic excitations in the Kitaev material Na${}_2$IrO${}_3$ studied by neutron scattering
• Signatures of a Majorana-Fermi surface in the Kitaev magnet Ag${}_3$LiIr${}_2$O${}_6$
• Correlated Electrons and Magnetism in Double Perovskites
• Magnetotropic Response in Ruthenium Chloride
• Phases and Quantum Phase Transitions in Anisotropic Antiferromagnetic Kitaev-Heisenberg-$\Gamma$ magnet
• Spin-orbit driven $J_{eff}=1/2$ magnetism in a d${}^7$ triangular-lattice monolayer cobaltate
• Strategy to Extract Kitaev Interaction using Symmetry in Honeycomb Mott Insulators
• Tuning the Chern number of Kitaev quantum spin liquid
• Classification of magnon thermal Hall systems based on U(1) to non-Abelian gauge fields
• Stabilization of zigzag order in NiPS${}_3$ via positive biquadratic interaction
• Ligand-SOC enhanced $4f^5$ Kitaev antiferromagnet: Application to ${\mathrm{SmI}}_3$
• Spin disorder state induced by Mg${}^{2+}$ doping in a Kitaev material Na${}_3$Co${}_2$SbO${}_6$
• Crystal field splittings and magnetic ground state of the square-lattice antiferromagnets YbBi2ClO4 and YbBi2IO4 with Jeff = 1/2
• Dynamical Response of the Kitaev Spin Liquid under Third-Nearest-Neighbor Heisenberg Interaction
• Vortex creation and control in the Kitaev spin liquid by local bond modulations
• Non-Loudon-Fleury Raman scattering in spin-orbit coupled Mott insulators
• Thermal and quantum fluctuations in extended Kitaev-Yao-Lee spin-orbital model
• Honeycomb-lattice Gamma model in a magnetic field: hidden Néel order and spin-flop transition