Models and Materials for Generalized Kitaev Magnetism

Abstract

The exactly solvable Kitaev model on the honeycomb lattice has recently received enormous attention linked to the hope of achieving novel spin-liquid states with fractionalized Majorana-like excitations. In this review, we analyze the mechanism proposed by G. Jackeli and G. Khaliullin to identify Kitaev materials based on spin-orbital dependent bond interactions and provide a comprehensive overview of its implications in real materials. We set the focus on experimental results and current theoretical understanding of planar honeycomb systems (Na${}_2$IrO${}_3$, $\alpha$-Li${}_2$IrO${}_3$, and $\alpha$-RuCl${}_3$), three-dimensional Kitaev materials ($\beta$- and $\gamma$-Li${}_2$IrO${}_3$), and other potential candidates, completing the review with the list of open questions awaiting new insights.

arXiv commentupdated references, published version

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• Local Probes for Charge-Neutral Edge States in Two-Dimensional Quantum Magnets
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• Pseudo Jahn-Teller Effect and Magnetoelastic Coupling in Spin-Orbit Mott Insulators
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• Static and dynamic magnetic properties of honeycomb lattice antiferromagnets Na${}_2{M}_2$TeO${}_6$, $M$ = Co and Ni
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• Theory of two-dimensional nonlinear spectroscopy for the Kitaev spin liquid
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• Inverse Faraday effect in Mott insulators
• Nonmagnetic $J=0$ State and Spin-Orbit Excitations in K${}_2$RuCl${}_6$
• Thermal Transport for Probing Quantum Materials
• Ground-state phase diagram of spin-$S$ Kitaev-Heisenberg models
• Revealing the Phase Diagram of Kitaev Materials by Machine Learning: Cooperation and Competition between Spin Liquids
• Kitaev Quantum Spin Liquids
• Thermal Hall signatures of non-Kitaev spin liquids in honeycomb Kitaev materials
• Quantum Many-Body Scars in Spin-1 Kitaev Chains
• Theory of Ca${}_{10}$Cr${}_7$O${}_{28}$ as a bilayer breathing-kagome magnet: Classical thermodynamics and semi-classical dynamics
• Scanning tunneling spectroscopy of Majorana zero modes in a Kitaev spin liquid
• Universal Thermodynamics in the Kitaev Fractional Liquid
• High-resolution resonant inelastic x-ray scattering study of the electron-phonon coupling in honeycomb $\alpha$-Li${}_2$IrO${}_3$
• How many spin liquids are there in Ca${}_{10}$Cr${}_7$O${}_{28}$?
• High-field thermal transport properties of the Kitaev quantum magnet alpha-RuCl3: evidence for low-energy excitations beyond the critical field
• Extraction of the interaction parameters for $\alpha -$RuCl${}_3$ from neutron data using machine learning
• Tensor network simulation of the Kitaev-Heisenberg model at finite temperature
• Spin-Orbit Exciton in a Honeycomb Lattice Magnet CoTiO${}_3$: Revealing Link Between Rare Earth and Transition Metal Magnetism
• THz excitations in α-RuCl3: Majorana fermions, rigid-plane shear and compression modes
• Nontrivial Triplon Topology and Triplon Liquid in Kitaev-Heisenberg-type Excitonic Magnets
• On the saw-tooth torque in anisotropic $j_{\mathrm{eff}}=1/2$ magnets: Application to $\alpha$-RuCl${}_3$
• Light-Induced Control of Magnetic Phases in Kitaev Quantum Magnets
• Excitation spectrum of spin-1 Kitaev spin liquids
• Majorana-Magnon Crossover by a Magnetic Field in the Kitaev Model: Continuous-Time Quantum Monte Carlo Study
• Classical spin order near antiferromagnetic Kitaev point in the spin-1/2 Kitaev-Gamma chain
• Structural, electronic, and magnetic properties of nearly-ideal $J_{\mathrm{eff}}$ $=$ 1/2 iridium halides
• Kitaev magnetism through the prism of lithium iridate
• Observing spin fractionalization in the Kitaev spin liquid via temperature evolution of indirect resonant inelastic x-ray scattering
• Investigation of the magnetoelastic coupling anisotropy in the Kitaev material $\alpha$-RuCl${}_3$
• An Exact Chiral Amorphous Spin Liquid
• Magnetism and Ion Diffusion in Honeycomb Layered Oxide K${}_2$Ni${}_2$TeO${}_6$: First Time Study by Muon Spin Rotation & Neutron Scattering
• Vison-Majorana complex zero-energy resonance in Kitaev's spin liquid
• Possible Intermediate Quantum Spin Liquid Phase in $\alpha$-RuCl${}_3$ under High Magnetic Fields up to 100 T
• Mechanism for subgap optical conductivity in honeycomb Kitaev materials
• Easy-plane anisotropic-exchange magnets on a honeycomb lattice: quantum effects and dealing with them
• A $j_{\mathrm{eff}}=1/2$ Kitaev material on the triangular lattice: The case of NaRuO${}_2$
• Alleviating the Sign Problem in Quantum Monte Carlo Simulations of Spin-Orbit-Coupled Multi-Orbital Hubbard Models
• Almost pure $J_{\mathrm{eff}}=1/2$ Mott state of In${}_2$Ir${}_2$O${}_7$ in the limit of reduced inter-site hopping
• Quantum Phases in the Honeycomb-Lattice $J_1$--$J_3$ Ferro-Antiferromagnetic Model
• Susceptibility anisotropy and its disorder evolution in models for Kitaev materials
• Pressure-induced structural dimerization in the hyperhoneycomb iridate $\beta$-Li${}_2$IrO${}_3$ at low temperatures
• Field-angle dependence of thermal Hall conductivity in magnetically ordered Kitaev-Heisenberg system
• Dynamics of a j=3/2 quantum spin liquid
• Evidence for the first-order topological phase transition in a Kitaev spin liquid candidate $\alpha$-RuCl${}_3$
• The origin of magnetism in a supposedly nonmagnetic osmium oxide
• Probing signatures of fractionalization in candidate quantum spin liquid Cu2IrO3 via anomalous Raman scattering
• Dynamics of a two-dimensional quantum spin-orbital liquid: spectroscopic signatures of fermionic magnons
• Toward cubic symmetry for Ir${}^{4+}$: structure and magnetism of antifluorite K${}_2$IrBr${}_6$
• Multiple Spin-Orbit Excitons and the Electronic Structure of $\alpha$-RuCl${}_3$
• Measurement-based quantum computation in finite one-dimensional systems: string order implies computational power
• Nature of visons in the perturbed ferromagnetic and antiferromagnetic Kitaev honeycomb models
• Further insights into the thermodynamics of the Kitaev honeycomb model
• Disorder-induced broadening of the spin waves in a triangular-lattice quantum-spin-liquid candidate YbZnGaO${}_4$
• Competing multipolar orders in a face-centered cubic lattice: Application to the osmium double perovskites
• Comprehensive study of the global phase diagram in the triangular $J$-$K$-$\Gamma$ model
• Anisotropic temperature-field phase diagram of single-crystalline $\beta$-Li${}_2$IrO${}_3$: magnetization, specific heat, and ${}^7$Li NMR study
• Exchange interactions in $d^5$ Kitaev materials: From Na${}_2$IrO${}_3$ to $\alpha$-RuCl${}_3$
• Determining Kitaev interaction in spin-$S$ honeycomb Mott insulators
• Theory of electronic magnetoelectric coupling in $d^5$ Mott insulators
• Uniaxial and hydrostatic pressure effects in alpha-RuCl3 single crystals via thermal-expansion measurements
• Excitonic Magnetism at the intersection of Spin-orbit coupling and crystal-field splitting
• Unquantized thermal Hall effect in quantum spin liquids with spinon Fermi surfaces
• Antiferromagnetic Kitaev Interactions in Polar Spin-Orbit Mott Insulators
• Scattering Signatures of Bond-Dependent Magnetic Interactions
• Electronic and magnetic properties of iridium ilmenites $A$IrO${}_3$ ($A=$ Mg, Zn, and Mn)
• Thermally induced metallic phase in a gapped quantum spin liquid - a Monte Carlo study of the Kitaev model with parity projection
• Machine-Learned Phase Diagrams of Generalized Kitaev Honeycomb Magnets
• Thermal spin dynamics of Kitaev magnets $-$ scattering continua and magnetic field induced phases within a stochastic semiclassical approach
• Spin interaction and magnetism in cobaltate Kitaev candidate materials: an $ab$ $initio$ and model Hamiltonian approach
• Magnetoelectric generation of a Majorana-Fermi surface in Kitaev's honeycomb model
• How spin-orbital entanglement depends on the spin-orbit coupling in a Mott insulator
• Spin-orbit effects in pentavalent Iridates: Models and materials
• Quantum liquids of the S=3/2 Kitaev honeycomb and related Kugel-Khomskii models
• Analytic calculation of the vison gap in the Kitaev spin liquid
• Dynamical anyon generation in Kitaev honeycomb non-Abelian spin liquids
• Footprints of the Kitaev spin liquid in the Fano lineshapes of the Raman active optical phonons
• Magnon-spinon dichotomy in the Kitaev hyperhoneycomb $\beta$-Li${}_2$IrO${}_3$
• Quantum Monte Carlo Simulation of Generalized Kitaev Models
• Magnetization plateaux cascade in the frustrated quantum antiferromagnet Cs${}_2$CoBr${}_4$
• Strain induced changes of electronic properties of B-site ordered double perovskite Sr${}_2$CoIrO${}_6$ thin films
• 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${}_4$
• Two-Magnon Bound States in the Kitaev Model in a $[111]$-Field
• Emergent orbital magnetization in Kitaev quantum magnets
• Field evolution of magnetic phases and spin dynamics in the honeycomb lattice magnet Na2Co2TeO6: 23Na NMR study
• Optical signature of the pressure-induced dimerization in the honeycomb iridate $\alpha$-Li${}_2$IrO${}_3$
• Evidence for magnetic fractional excitations in a Kitaev quantum-spin-liquid candidate $\alpha$-RuCl${}_3$
• The Saga of $\alpha$-RuCl${}_3$: Parameters, Models, and Phase Diagrams
• Extent of frustration in the classical Kitaev-$\Gamma$ model via bond anisotropy
• Monoclinic SrIrO${}_3$ - A Dirac semimetal produced by non-symmorphic symmetry and spin-orbit coupling
• Quadrupolar spin liquid, octupolar Kondo coupling and odd-frequency superconductivity in an exactly solvable model
• Quantum phase transitions in the spin-1 Kitaev-Heisenberg 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${}_6$
• Insights into the Anisotropic Spin-$S$ Kitaev Chain
• Collective spin dynamics of Z2 vortex crystals in triangular Kitaev-Heisenberg antiferromagnets
• Magnetic and electronic ordering phenomena in the [Ru${}_2$O${}_6$] honeycomb lattice compound AgRuO${}_3$
• Antiferromagnetic resonance in the cubic iridium hexahalides (NH${}_4$)${}_2$IrCl${}_6$ and K${}_2$IrCl${}_6$
• Field evolution of low-energy excitations in the hyperhoneycomb magnet $\beta$-Li${}_2$IrO${}_3$
• Comparative Raman Scattering Study of Crystal Field Excitations in Co-based Quantum Magnets
• Pressure-induced formation of rhodium zigzag chains in the honeycomb rhodate Li${}_2$RhO${}_3$
• 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
• Field-induced Kitaev multipolar liquid in spin-orbit coupled $d^2$ honeycomb Mott insulators
• Classification and properties of quantum spin liquids on the hyperhoneycomb lattice
• Comparing the influence of Floquet dynamics in various Kitaev-Heisenberg materials
• Frustration on a centred pyrochlore lattice in metal-organic frameworks
• Spin-$S$ Kitaev-Heisenberg model on the honeycomb lattice: A high-order treatment via the many-body coupled cluster method
• Symmetries and anomalies of Kitaev spin-$S$ models: Identifying symmetry-enforced exotic quantum matter
• Quasimolecular electronic structure of the spin-liquid candidate Ba${}_3$InIr${}_2$O${}_9$
• Resonant inelastic x-ray scattering spectra in the hyperhoneycomb iridate $\beta$-Li${}_2$IrO${}_3$: First principles calculations
• Photoinduced Floquet topological magnons in Kitaev magnets
• Phase Diagram of YbZnGaO4 in Applied Magnetic Field
• Spin liquid in twisted homobilayers group-VI gichalcogenides
• Low temperature enhancement of ferromagnetic Kitaev correlations in α-RuCl3
• Nonlinear response of the Kitaev honeycomb lattice model in a weak magnetic field
• Spin wave theory of one-dimensional generalized Kitaev model
• Magnetism in Kitaev Quantum Spin Liquid Candidate RuBr${}_3$
• Proximate Kitaev system for an intermediate magnetic phase in in-plane magnetic fields
• Hydrated lithium intercalation into the Kitaev spin liquid candidate material $\alpha -$RuCl${}_3$
• Heisenberg-Kitaev Models on Hyperhoneycomb and Stripyhoneycomb Lattices: 3D-2D Equivalence of Ordered States and Phase Diagrams
• Disorder effects in the Kitaev-Heisenberg model
• Magnetic Excitations and Interactions in the Kitaev Hyperhoneycomb Iridate $\beta$-Li${}_2$IrO${}_3$
• 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${}_3$
• Odd-Parity Superconductivity Driven by Octahedra Rotations in Iridium Oxides
• Reentrant incommensurate order and anomalous magnetic torque in the Kitaev magnet $\beta$-${\text{Li}}_2{\text{IrO}}_3$
• Interplay of magnetism and dimerization in pressurized Kitaev material $\beta$-Li${}_2$IrO${}_3$
• Contrasting electronic states of RuI3 and RuCl3
• Pseudospin-lattice coupling and electric control of the square-lattice iridate Sr2IrO4
• Unconventional magnetic field response of the hyperhoneycomb Kitaev magnet $\beta -{\text{Li}}_2{\text{IrO}}_3$
• Optical magnons with dominant bond-directional exchange interactions in a honeycomb lattice iridate $\alpha$-Li${}_2$IrO${}_3$
• Flat and Correlated Plasmon Bands in Graphene/$\alpha$-RuCl${}_3$ Heterostructures
• RIXS interferometry and the role of disorder in the quantum magnet Ba${}_3$Ti${}_{3-x}$Ir${}_x$O${}_9$
• Feasibility of Kitaev quantum spin liquids in ultracold polar molecules
• Symmetry Analysis of Tensors in the Honeycomb Lattice of Edge-Sharing Octahedra
• Confinement of fractional excitations in a triangular lattice antiferromagnet
• Light-induced magnetization driven by interorbital charge motion in a spin-orbit assisted Mott insulator alpha-RuCl3
• Evidence of Kitaev interaction in the monolayer 1T-CrTe${}_2$
• Phonon Dynamics in the Generalized Kitaev Spin Liquid
• Role of Majorana fermions in spin transport of anisotropic Kitaev model
• Dynamical coupling of dilute magnetic impurities with quantum spin liquid state in the S = 3/2 dimer compound Ba3ZnRu2O9
• Lattice dynamics and structural transition of the hyperhoneycomb iridate $\beta$-Li${}_2$IrO${}_3$ investigated by high-pressure Raman scattering
• Scattering phenomena for spin transport in Kitaev spin liquid
• Oriented propagation of magnetization due to chiral edge modes in Kitaev-type models
• Soft and anisotropic local moments in 4$d$ and 5$d$ mixed-valence M${}_2$O${}_9$ dimers
• Symmetry-protected topological magnons in three dimensional Kitaev materials
• Differentiable programming tensor networks for Kitaev magnets
• Multiple field-induced phases in the frustrated triangular magnet Cs${}_3$Fe${}_2$Br${}_9$
• Transforming from Kitaev to Disguised Ising Chain: Application to CoNb${}_2$O${}_6$
• Quantum many-body scars in spin-1 Kitaev chain with uniaxial single-ion anisotropy
• Asymmetric modulation of Majorana excitation spectra and nonreciprocal thermal transport in the Kitaev spin liquid under a staggered magnetic field
• Topological entanglement entropy of three-dimensional Kitaev model
• Electronic excitations in $5d^4$ J=0 Os${}^{4+}$ halides studied by RIXS and optical spectroscopy
• Islands of Chiral Solitons in Integer Spin Kitaev Chains
• $\text{Ab initio}$ prediction of a two-dimensional variant of the iridate IrO${}_2$
• Competition between magnetic order and charge localization in Na${}_2$IrO${}_3$ thin crystal devices
• Orbital Magnetic Field Effects in Mott Insulators with Strong Spin-Orbit Coupling
• Dynamics of fractionalized mean-field theories: consequences for Kitaev materials
• Suppression of the antiferromagnetic order by Zn doping in a possible Kitaev material Na${}_2$Co${}_2$TeO${}_6$
• Ground-State Phase Diagram of the Kitaev-Heisenberg Model on a Three-dimensional Hyperhoneycomb Lattice
• Raman fingerprints of fractionalized Majorana excitations in honeycomb iridate Ag${}_3$LiIr${}_2$O${}_6$
• Stripe order and magnetic anisotropy in the $S=1$ antiferromagnet BaMoP${}_2$O${}_8$
• Signatures of non-Loudon-Fleury Raman scattering in the Kitaev magnet $\beta$-Li${}_2$IrO${}_3$
• 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
• Confinement transition in a Kitaev-like honeycomb model with bond anisotropy
• Kitaev-Heisenberg model on the star lattice: From chiral Majorana fermions to chiral triplons
• Topological superconductivity from doping a triplet quantum spin liquid in a flat band system
• BaCo${}_2$(AsO${}_4$)${}_2$: Strong Kitaev, After All
• Twice Hidden String Order and Competing Phases in the Spin-1/2 Kitaev-Gamma Ladder
• Kitaev Interactions Through an Extended Superexchange Pathway in the jeff = 1/2 Ru3+ Honeycomb Magnet, RuP3SiO11
• Extended Quantum Spin Liquid with Spinon-like Excitations in an Anisotropic Kitaev-Gamma Model
• Spinless fermions in a ${\mathbb{Z}}_2$ gauge theory on the triangular ladder
• Hydrostatic pressure effect on Co-based honeycomb magnet BaCo2(AsO4)2
• The SpinParser software for pseudofermion functional renormalization group calculations on quantum magnets
• Converting electrons into emergent fermions at a superconductor-Kitaev spin liquid interface
• Classification of symmetry-enriched topological quantum spin liquids
• Spin-orbit coupling in a half-filled $t_{2g}$ shell: the case of $5d^3$ K${}_2$ReCl${}_6$
• Defect production and quench dynamics in the three-dimensional Kitaev model
• 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
• Spin-orbital-lattice entanglement in the ideal j=1/2 compound K${}_2$IrCl${}_6$
• Multinode quantum spin liquids in extended Kitaev honeycomb models: the view from variational Monte Carlo
• Long-range order in the XY model on the honeycomb lattice
• Kinetic Ferromagnetism and Topological Magnons of the Hole-Doped Kitaev Spin Liquid
• Specific heat of 2D interacting Majorana fermions from holography
• Exploring rare-earth Kitaev magnets by massive-scale computational analysis
• Anisotropic magnetic interactions in a candidate Kitaev spin liquid close to a metal-insulator transition
• Chemical tuning between triangular and honeycomb structures in a 5$d$ spin-orbit Mott insulator
• Gapless excitations in non-Abelian Kitaev spin liquids with line defects
• Spin Seebeck Effect as a Probe for Majorana Fermions in Kitaev Spin Liquids
• Cobalt-Based Pyroxenes: A New Playground for Kitaev Physics and Ising Model Realization
• Interplay between multi-spin and chiral spin interactions on triangular lattice
• Robustness of entropy plateaus: A case study of triangular Ising antiferromagnets
• MoP${}_3$SiO${}_{11}$: a $4d^3$ honeycomb antiferromagnet with disconnected octahedra
• Role of disorder in the electronic and magnetic properties of Ag${}_3$LiIr${}_2$O${}_6$
• Quantum-classical crossover in the spin-1/2 Heisenberg-Kitaev kagome magnet
• Topological phase transitions and thermal Hall effect in a noncollinear spin texture
• Intermediate field-induced phase of the honeycomb magnet BaCo${}_2$(AsO${}_4$)${}_2$
• Magnetic versus nonmagnetic polymorphs of RuBr${}_3$ under pressure
• Magnetic phases for two $t_{2g}$ holes with spin-orbit coupling and crystal field
• Dynamic structure factor of the antiferromagnetic Kitaev model in large magnetic fields
• Static and fluctuating zigzag order, and possible signatures of Kitaev physics, in torque measurements of $\alpha$-RuCl${}_3$
• Local spin-flip transitions induced by magnetic quantum impurities in two-dimensional magnets
• Phonon Dynamics in the Chiral Kitaev Spin Liquid
• From linear to circular polarized light -- Floquet engineering in Kitaev-Heisenberg materials with Lissajous figures
• Proximity-induced sequence of field transitions in Kitaev candidate BaCo${}_2$(AsO${}_4$)${}_2$
• Left-left-right-right magnetic order in spin-1/2 Kitaev-Heisenberg chain
• Non-local features of the spin-orbit exciton in Kitaev materials
• Equivalence between vortices, twists and chiral gauge fields in Kitaev's honeycomb lattice model
• Minimal models of $\alpha$-Li${}_2$IrO${}_3$: On the range of the interactions, ground state properties, and magnetization processes
• Inferring Hidden Symmetries of Exotic Magnets from Detecting Explicit Order Parameters
• Pressure tuning of competing interactions on a honeycomb lattice
• Anisotropy of the zigzag order in the Kitaev honeycomb magnet $\alpha$-RuBr${}_3$
• Dilution of the magnetic lattice in the Kitaev candidate $\alpha$-RuCl${}_3$ by Rh${}^{3+}$ doping
• High-field quantum spin liquid transitions and angle-field phase diagram of Kitaev magnet $\alpha$-RuCl${}_3$
• The spin-orbital Kitaev model: from kagome spin ice to classical fractons
• Two-triplon excitations of the Kitaev-Heisenberg-Bilayer
• Dynamic Surface Modification due to Effusion of Na in Na${}_2$IrO${}_3$
• Signatures of a gapless quantum spin liquid in the Kitaev material Na${}_3$Co${}_{2-x}$Zn${}_x$SbO${}_6$
• Structural stability of CuAl${}_2$O${}_4$ under pressure
• Complex orders and chirality in the classical Kitaev-$\Gamma$ model
• Anisotropic Coulomb exchange as source of Kitaev and off-diagonal symmetric anisotropic couplings
• Possible Realization of Kitaev Spin Liquids in van der Waals Heterostructures of $\alpha$-RuCl${}_3$ and Cr$X_3$ ($X$=Cl and I)
• Intermediate phases in $\alpha$-RuCl${}_3$ under in-plane magnetic field via interlayer spin interactions
• Exact Ground States and Phase Diagram of the Quantum Compass Model under an in-plane Field
• Field-Induced Ordered Phases in Anisotropic Spin-1/2 Kitaev Chains
• Exfoliation and Optical Properties of S=1 Triangular Lattice Antiferromagnet NiGa${}_2$S${}_4$
• Anisotropic superexchange through nonmagnetic anions with spin-orbit coupling
• Exchange Interactions in Rare-earth Magnets $A_2$PrO${}_3$ ($A$= alkali metals): Revisited
• Spectrum of the hole excitation in spin-orbit Mott insulator Na${}_2$IrO${}_3$
• Chirality-selective topological magnon phase transition induced by interplay of anisotropic exchange interactions in honeycomb ferromagnet
• Determining the range of magnetic interactions from the relations between magnon eigenvalues at high-symmetry k points
• Magnetic instability under ferroaxial moment
• Multi-$Q$ magnetic phases from frustration and chiral interactions
• A solvable embedding mechanism for one-dimensional spinless and Majorana fermions in higher-dimensional spin-1/2 magnets
• Direct evidence for anisotropic magnetic interaction in $\alpha$-RuCl${}_3$ from polarized inelastic neutron scattering
• Pulsed Neutron Spectroscopy of Low Dimensional Magnets: Past, Present, and Future
• Topological Majorana flat bands in the Kitaev model on a Bishamon-kikko lattice
• Vacancies in generic Kitaev spin liquids
• A primer on Kitaev Model: Basic aspects, material realization, and recent experiments
• Electric polarization near vortices in the extended Kitaev model
• Eleven Competing Phases in the Heisenberg-Gamma (J$\Gamma$) Ladder
• Ground-state phase diagram of anisotropically interacting Heisenberg-$\Gamma$ models on a honeycomb lattice
• Assembling Kitaev honeycomb spin liquids from arrays of 1D symmetry protected topological phases
• Thermal decomposition of the Kitaev material $\alpha$-RuCl${}_3$ and its influence on low-temperature behavior
• Fluctuation-induced first order phase transitions in Kitaev-like $d^4$ honeycomb magnet
• Intertwined Magnetic Dipolar and Electric Quadrupolar Correlations in the Pyrochlore Tb${}_2$Ge${}_2$O${}_7$
• Enhanced Magnetism and Phase Transitions in Ultrathin Quantum Spin Liquid Na2IrO3 Flakes
• Pressure-dependent magnetism of the Kitaev candidate Li${}_2$RhO${}_3$
• Ferrichiral skyrmions with sublattice-resolved chirality in extended Kitaev model in triangular lattice
• Tuning magnetic interactions with nonequilibrium optical phonon populations: a theoretical study
• Microscopic model realization of $\mathbf{d}$-wave pseudospin current order in Sr${}_2$IrO${}_4$
• Three-dimensional Stacking of Canted Antiferromagnetism and Pseudospin Current in Undoped Sr${}_2$IrO${}_4$: Symmetry Analysis and Microscopic Model Realization
• Reviving Majorana zero modes in the spin-1/2 Kitaev ladder model
• Schwinger boson theory for $S=1$ Kitaev quantum spin liquids
• Demystifying quantum escapism on the honeycomb lattice
• Transport in honeycomb lattice with random $\pi$-fluxes: implications for low-temperature thermal transport in the Kitaev spin liquids
• Bond disorder in extended Heisenberg-Kitaev models: Spin textures and in-gap states in the high-field regime
• Understanding the magnetic interactions of the zig-zag honeycomb lattice: Application to $\alpha$-RuCl${}_3$
• The Kekulé-Kitaev model: linear and non-linear responses and magnetic field effects
• Anomalous and Anisotropic Nonlinear Susceptibility in the Proximate Kitaev Magnet $\alpha$-RuCl${}_3$
• Universal fluctuating regime in triangular chromate antiferromagnets
• Tuning the Chern number of Kitaev quantum spin liquid
• Ligand-SOC enhanced $4f^5$ Kitaev antiferromagnet: Application to ${\mathrm{SmI}}_3$
• Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers
• The field-angle anisotropy of proximate Kitaev systems under an in-plane magnetic field
• Nesting instability of gapless U(1) spin liquids with spinon Fermi pockets in two dimensions
• Topological magnons in a non-coplanar magnetic order on the triangular lattice
• Magnetic polarons due to spin-length fluctuations in ${\mathbf{d}}^4$ spin-orbit Mott systems
• Susceptibility anisotropy and absence of ferroelectric order in the Kitaev spin liquid candidate Na${}_2$Co${}_2$TeO${}_6$
• Pseudoscalar U(1) spin liquids in $\alpha$-RuCl${}_3$
• Magnetic field effects on the Kitaev model coupled to environment
• Relevance of on-site and intersite Coulomb interactions in the Kitaev-Heisenberg magnet Na${}_3$Co${}_2$SbO${}_6$
• One-to-one correspondence between thermal structure factors and coupling constants of general bilinear Hamiltonians
• Real-space chirality from crystalline topological defects in the Kitaev spin liquid
• Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays
• Disorder, Low-Energy Excitations, and Topology in the Kitaev Spin Liquid
• Anisotropic magnetoelastic coupling in the honeycomb magnet Na${}_3$Co${}_2$SbO${}_6$
• Metallic conductivity on Na-deficient structural domain walls in the spin-orbit Mott insulator Na${}_2$IrO${}_3$
• Trigonal distortion in the Kitaev candidate honeycomb magnet BaCo2(AsO4)2
• Multiple topological phases of magnons induced by Dzyaloshinskii-Moriya and pseudodipolar anisotropic exchange interactions in Kagome ferromagnets
• Ground State Properties of the Doped Kitaev-Heisenberg Chain: Topological Superconducting and Mott Insulating Phases Driven by Magnetic Frustration
• Spin disorder state induced by Mg${}^{2+}$ doping in a Kitaev material Na${}_3$Co${}_2$SbO${}_6$
• Majorana Signatures in Planar Tunneling through a Kitaev Spin Liquid
• Magnetic excitations in the Kitaev material Na${}_2$IrO${}_3$ studied by neutron scattering
• Spin-orbit driven $J_{eff}=1/2$ magnetism in a d${}^7$ triangular-lattice monolayer cobaltate
• More bridging ligands activate direct exchange: the case of anisotropic Kitaev effective magnetic interactions
• Efficiently preparing chiral states via fermionic cooling on bosonic quantum hardware
• Two topological phases in exchange alternating spin-1 nanographene chains
• Metallic ruthenium ilmenites: first-principles study of MgRuO${}_3$ and CdRuO${}_3$
• Strategy to Extract Kitaev Interaction using Symmetry in Honeycomb Mott Insulators
• Ising spin ladders of orthopyroxene CoGeO${}_3$
• Vortex creation and control in the Kitaev spin liquid by local bond modulations
• From Density Functional Theory to Spin Hamiltonians: Magnetism in $d^5$ Honeycomb Compound OsCl${}_3$
• Non-Loudon-Fleury Raman scattering in spin-orbit coupled Mott insulators