Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections

Abstract

Quantum spin liquids have fascinated condensed matter physicists for decades because of their unusual properties such as spin fractionalization and long-range entanglement. Unlike conventional symmetry breaking the topological order underlying quantum spin liquids is hard to detect experimentally. Even theoretical models are scarce for which the ground state is established to be a quantum spin liquid. The Kitaev honeycomb model and its generalizations to other tri-coordinated lattices are chief counterexamples --- they are exactly solvable, harbor a variety of quantum spin liquid phases, and are also relevant for certain transition metal compounds including the polymorphs of (Na,Li)${}_2$IrO${}_3$ Iridates and RuCl${}_3$. In this review, we give an overview of the rich physics of the Kitaev model, including 2D and 3D fractionalization as well as dynamical correlations and behavior at finite temperatures. We discuss the different materials, and argue how the Kitaev model physics can be relevant even though most materials show magnetic ordering at low temperatures.

22 pages, 3 figures. Manuscript for Annual Reviews

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• Spin-orbit physics of j=1/2 Mott insulators on the triangular lattice
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• Weyl spin liquids
• Kitaev Materials
• Physical states and finite-size effects in Kitaev's honeycomb model: Bond disorder, spin excitations, and NMR lineshape
• Topological phases and quantum computation
• Theory of Magnetic Phase Diagrams in Hyperhoneycomb and Harmonic-honeycomb Iridates
• Unified theory of spiral magnetism in the harmonic-honeycomb iridates α, β, γ Li2IrO3
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• The Wavefunction of an Anyon
• Topological spinon semimetals and gapless boundary states in three dimensions
• Crystalline Kitaev spin liquids
• Density-Matrix Renormalization Group Study of Extended Kitaev-Heisenberg Model
• Non-Abelian statistics as a Berry phase in exactly solvable models
• Resonant x-ray scattering reveals possible disappearance of magnetic order under hydrostatic pressure in the Kitaev candidate $\gamma$-Li${}_2$IrO${}_3$
• Classical Heisenberg spins on a hexagonal lattice with Kitaev couplings
• Robust spin correlations at high magnetic fields in the honeycomb iridates
• Majorana Landau Level Raman Spectroscopy
• Coherent hole propagation in an exactly solvable gapless spin liquid
• Incarnation of Majorana Fermions in Kitaev Quantum Spin Lattice

Cited by in corpus (331)

• Kitaev quantum spin liquid - concept and materialization
• A Field Guide to Spin Liquids
• Interacting topological insulators: a review
• Pseudospin exchange interactions in d^7 cobalt compounds: Possible realization of the Kitaev model
• Hunting Majorana Fermions in Kitaev Magnets
• Experimental identification of quantum spin liquids
• Orbital effects in solids: basics, recent progress and opportunities
• Kitaev Spin Liquid in 3d Transition Metal Compounds
• Emergence of a Field-Driven U(1) Spin Liquid in the Kitaev Honeycomb Model
• Field-induced quantum spin disordered state in spin-1/2 honeycomb magnet Na2Co2TeO6
• Topological Magnons in Kitaev Magnets at High Fields
• Spin-orbit-entangled electronic phases in 4$d$ and 5$d$ transition-metal compounds
• Scaling and data collapse from local moments in frustrated disordered quantum spin systems
• Frustration and anisotropic exchange in ytterbium magnets with edge-shared octahedra
• Robust non-Abelian spin liquid and possible intermediate phase in antiferromagnetic Kitaev model with magnetic field
• Materials design of Kitaev spin liquids beyond the Jackeli-Khaliullin mechanism
• Heisenberg-Kitaev physics in magnetic fields
• Ferrimagnetism and anisotropic phase tunability by magnetic fields in Na${}_2$Co${}_2$TeO${}_6$
• Square Lattice Iridates
• Neural Gutzwiller-projected variational wave functions
• Anisotropic susceptibilities in the honeycomb Kitaev system $\alpha$-RuCl${}_3$
• Bond disordered spin liquid and the honeycomb iridate H${}_3$LiIr${}_2$O${}_6$ $-$ abundant low energy density of states from random Majorana hopping
• Proximate ferromagnetic state in the Kitaev model material $\alpha$-RuCl${}_3$
• Fingerprints of Kitaev physics in the magnetic excitations of honeycomb iridates
• Thermodynamic evidence of fractionalized excitations in α-RuCl3
• Electronic properties of α-RuCl3 in proximity to graphene
• Dynamical and thermal magnetic properties of the Kitaev spin liquid candidate $\alpha$-RuCl${}_3$
• Local Probes for Charge-Neutral Edge States in Two-Dimensional Quantum Magnets
• Magnetic field induced intermediate quantum spin-liquid with a spinon Fermi surface
• Order-by-Disorder from Bond-Dependent Exchange and Intensity Signature of Nodal Quasiparticles in a Honeycomb Cobaltate
• Pseudo Jahn-Teller Effect and Magnetoelastic Coupling in Spin-Orbit Mott Insulators
• Spin-Space Groups and Magnon Band Topology
• Geometrical frustration versus Kitaev interactions in BaCo${}_2$(AsO${}_4$)${}_2$
• Thermodynamic Evidence of Proximity to a Kitaev Spin-Liquid in Ag${}_3$LiIr${}_2$O${}_6$
• Topological magnonics in the two-dimensional van der Waals magnet CrI3
• High-Field Quantum Disordered State in $\alpha$-RuCl3: Spin Flips, Bound States, and a Multi-Particle Continuum
• Diagnosing phases of magnetic insulators via noise magnetometry with spin qubits
• Breakdown of magnetic order in the pressurized Kitaev iridate $\beta$-Li${}_2$IrO${}_3$
• Beyond Kitaev physics in strong spin-orbit coupled magnets
• XY magnetism, Kitaev exchange, and long-range frustration in the $J_{\mathrm{eff}}=1/2$ honeycomb cobaltates
• Exploring the Electronic and Magnetic Properties of New Metal Halides from Bulk to Two-Dimensional Monolayer: RuX3 (X=Br, I)
• Vacancy-induced low-energy density of states in the Kitaev spin liquid
• Engineering and probing non-Abelian chiral spin liquids using periodically driven ultracold atoms
• Quantum spin liquid at finite temperature: proximate dynamics and persistent typicality
• Magnetic Couplings in Edge-Sharing High-Spin $d^7$ Compounds
• Chiral spin liquid with spinon Fermi surfaces in spin-$1/2$ triangular Heisenberg model
• Dynamics of a quantum spin liquid beyond integrability $-$ the Kitaev-Heisenberg-$\Gamma$ model in an augmented parton mean-field theory
• Phonon dynamics in the Kitaev spin liquid
• Spin-1 Kitaev-Heisenberg model on a two-dimensional honeycomb lattice
• Thermal Hall effects in quantum magnets
• Kitaev-like honeycomb magnets: Global phase behavior and emergent effective models
• Signatures of a gearwheel quantum spin liquid in a spin-$\frac{1}{2}$ pyrochlore molybdate Heisenberg antiferromagnet
• Experimental signatures of quantum and topological states in frustrated magnetism
• Thermodynamic and Transport Properties in Disordered Kitaev Models
• Electrical Access to Ising Anyons in Kitaev Spin Liquids
• Detuning the Honeycomb of $\alpha$-RuCl${}_3$: Pressure-Dependent Optical Studies Reveal Broken Symmetry
• Quantum Kernel Methods for Solving Differential Equations
• Theory of the Kitaev model in a [111] magnetic field
• Non-local String Order Parameter in the $S=1/2$ Kitaev-Heisenberg Ladder
• The Heart of Entanglement: Chiral, Nematic, and Incommensurate Phases in the Kitaev-Gamma Ladder in a Field
• Variational study of the Kitaev-Heisenberg-Gamma model
• Magnetic structure and excitation spectrum of the hyperhoneycomb Kitaev magnet $\beta$-Li${}_2$IrO${}_3$
• Unveiling the S=3/2 Kitaev Honeycomb Spin Liquids
• Magnetoelastic coupling and effects of uniaxial strain in $\alpha$-RuCl${}_3$ from first principles
• Emergence of a nematic paramagnet via quantum order-by-disorder and pseudo-Goldstone modes in Kitaev magnets
• Unifying Kitaev magnets, kagome dimer models and ruby Rydberg spin liquids
• Cubic symmetry and magnetic frustration on the $fcc$ spin lattice in K${}_2$IrCl${}_6$
• Giant Phonon Anomalies in the Proximate Kitaev Quantum Spin Liquid $\alpha$-RuCl${}_3$
• Magnetic Field Induced Spin Liquids in S=1 Kitaev Honeycomb Model
• Majorana-mediated spin transport without spin polarization in Kitaev quantum spin liquids
• Linear and Nonlinear Optical Responses in Kitaev Spin Liquids
• Towards Kitaev Spin Liquid in 3d Transition Metal Compounds
• Anomalous Quantum Oscillations in a Heterostructure of Graphene on a Proximate Quantum Spin Liquid
• Vison Crystals in an Extended Kitaev Model on the Honeycomb Lattice
• Crystalline Kitaev spin liquids
• Disorder upon disorder: localization effects in the Kitaev spin liquid
• Angle-dependent thermodynamics of $\alpha$-RuCl${}_3$
• Thermodynamic classification of three-dimensional Kitaev spin liquids
• Spin dynamics and field-induced magnetic phase transition in the honeycomb Kitaev magnet $\alpha$-Li${}_2$IrO${}_3$
• Field-induced QCD${}_3$-Chern-Simons quantum criticalities in Kitaev materials
• Magnetic field-induced evolution of intertwined orders in the Kitaev magnet $\beta$-Li${}_2$IrO${}_3$
• Majorana representations of spin and an alternative solution of the Kitaev honeycomb model
• Polarization-resolved Raman spectroscopy of α-RuCl3 and evidence of room temperature two-dimensional magnetic scattering
• Floquet engineering of Kitaev quantum magnets
• First-Principles Calculation of Spin and Orbital Contributions to Magnetically Ordered Moments in Sr${}_2$IrO${}_4$
• Computational design of $f$-electron Kitaev magnets: honeycomb and hyperhoneycomb compounds $A_2$PrO${}_3$ ($A=$ alkali metals)
• Resonant inelastic x-ray scattering study of $\alpha$-RuCl${}_3$: a progress report
• $ab$-$initio$ Approaches for Low-Energy Spin Hamiltonians
• Observation of a random singlet state in a diluted Kitaev honeycomb material
• Quantum liquid from strange frustration in the trimer magnet Ba4Ir3O10
• Nonmagnetic $J=0$ State and Spin-Orbit Excitations in K${}_2$RuCl${}_6$
• Thermal Hall signatures of non-Kitaev spin liquids in honeycomb Kitaev materials
• Kitaev Quantum Spin Liquids
• Scanning tunneling spectroscopy of Majorana zero modes in a Kitaev spin liquid
• Theory of Ca${}_{10}$Cr${}_7$O${}_{28}$ as a bilayer breathing-kagome magnet: Classical thermodynamics and semi-classical dynamics
• Benchmarking variational quantum eigensolvers for the square-octagon-lattice Kitaev model
• 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${}_{28}$?
• Spin dynamics in the Kitaev model with disorder: Quantum Monte Carlo study of dynamical spin structure factor, magnetic susceptibility, and NMR relaxation rate
• Extraction of the interaction parameters for $\alpha -$RuCl${}_3$ from neutron data using machine learning
• On the saw-tooth torque in anisotropic $j_{\mathrm{eff}}=1/2$ magnets: Application to $\alpha$-RuCl${}_3$
• Quantum and classical behavior of spin-$S$ Kitaev models in an anisotropic limit
• 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
• ${\mathbb{Z}}_2$ spin liquids in the higher spin-$S$ Kitaev honeycomb model: An exact deconfined ${\mathbb{Z}}_2$ gauge structure in a non-integrable model
• Coherent propagation of quasiparticles in topological spin liquids at finite temperature
• Local nuclear and magnetic order in the two-dimensional spin glass, Mn${}_{0.5}$Fe${}_{0.5}$PS${}_3$
• An Exact Chiral Amorphous Spin Liquid
• 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
• Trigonal Symmetry Breaking and its Electronic Effects in Two-Dimensional Dihalides and Trihalides
• Nonequilibrium Majorana Dynamics by Quenching a Magnetic Field in Kitaev Spin Liquids
• Alleviating the Sign Problem in Quantum Monte Carlo Simulations of Spin-Orbit-Coupled Multi-Orbital Hubbard Models
• Possible Intermediate Quantum Spin Liquid Phase in $\alpha$-RuCl${}_3$ under High Magnetic Fields up to 100 T
• Field-angle dependence of thermal Hall conductivity in magnetically ordered Kitaev-Heisenberg system
• Dynamics of a two-dimensional quantum spin-orbital liquid: spectroscopic signatures of fermionic magnons
• 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
• Competing multipolar orders in a face-centered cubic lattice: Application to the osmium double perovskites
• Exchange interactions in $d^5$ Kitaev materials: From Na${}_2$IrO${}_3$ to $\alpha$-RuCl${}_3$
• Further insights into the thermodynamics of the Kitaev honeycomb model
• Kitaev spin-orbital bilayers and their moiré superlattices
• Comprehensive study of the global phase diagram in the triangular $J$-$K$-$\Gamma$ model
• The XYZ${}^2$ hexagonal stabilizer code
• Anisotropic temperature-field phase diagram of single-crystalline $\beta$-Li${}_2$IrO${}_3$: magnetization, specific heat, and ${}^7$Li NMR study
• Symmetric $\mathrm{U}(1)$ and ${\mathbb{Z}}_2$ spin liquids on the pyrochlore lattice
• Scattering Signatures of Bond-Dependent Magnetic Interactions
• Unquantized thermal Hall effect in quantum spin liquids with spinon Fermi surfaces
• Thermally induced metallic phase in a gapped quantum spin liquid - a Monte Carlo study of the Kitaev model with parity projection
• Anyon dynamics in field-driven phases of the anisotropic Kitaev model
• 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
• Thermal anyon interferometry in phonon-coupled Kitaev spin liquids
• Non-Abelian chiral spin liquid on a simple non-Archimedean lattice
• Analytic calculation of the vison gap in the Kitaev spin liquid
• Quantum liquids of the S=3/2 Kitaev honeycomb and related Kugel-Khomskii models
• Proximate Dirac spin liquid in honeycomb lattice $J_1$-$J_3$ XXZ model: Numerical study and application to cobaltates
• Generic Field-Driven Phenomena in Kitaev Spin Liquids: Canted Magnetism and Proximate Spin Liquid Physics
• Magnon-spinon dichotomy in the Kitaev hyperhoneycomb $\beta$-Li${}_2$IrO${}_3$
• Dynamical anyon generation in Kitaev honeycomb non-Abelian spin liquids
• Coexistence of non-Abelian chiral spin liquid and magnetic order in a spin-1 antiferromagnet
• Understanding Reentrance in Frustrated Magnets: the Case of the Er${}_2$Sn${}_2$O${}_7$ Pyrochlore
• Flux mobility delocalization in the Kitaev spin ladder
• Large-$N$ Chern insulators: lattice field theory and quantum simulation approaches to correlation effects in the quantum anomalous Hall effect
• Fractionalized Prethermalization in a Driven Quantum Spin Liquid
• Featureless quantum paramagnet with frustrated criticality and competing spiral magnetism on spin-1 honeycomb lattice magnet
• The Saga of $\alpha$-RuCl${}_3$: Parameters, Models, and Phase Diagrams
• Extent of frustration in the classical Kitaev-$\Gamma$ model via bond anisotropy
• Magnon interactions in the quantum paramagnetic phase of CoNb${}_2$O${}_6$
• Quadrupolar spin liquid, octupolar Kondo coupling and odd-frequency superconductivity in an exactly solvable model
• Non-Kitaev spin liquids in Kitaev materials
• Collective spin dynamics of Z2 vortex crystals in triangular Kitaev-Heisenberg antiferromagnets
• Signatures of Kitaev interactions in the van der Waals ferromagnet VI3
• Field stability of Majorana spin liquids in antiferromagnetic Kitaev models
• Fermionic approach to variational quantum simulation of Kitaev spin models
• Classification and properties of quantum spin liquids on the hyperhoneycomb lattice
• Field evolution of low-energy excitations in the hyperhoneycomb magnet $\beta$-Li${}_2$IrO${}_3$
• Field and Polarization Dependent Quantum Spin Dynamics in Honeycomb Magnet Na${}_2$Co${}_2$TeO${}_6$: Magnetic Excitations and Continuum
• Comparative Raman Scattering Study of Crystal Field Excitations in Co-based Quantum Magnets
• Spin-$S$ Kitaev-Heisenberg model on the honeycomb lattice: A high-order treatment via the many-body coupled cluster method
• Persistent spin dynamics in the pressurized spin-liquid candidate YbMgGaO${}_4$
• 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
• Quasimolecular electronic structure of the spin-liquid candidate Ba${}_3$InIr${}_2$O${}_9$
• Photoinduced Floquet topological magnons in Kitaev magnets
• Probing quantum spin liquids in equilibrium using the inverse spin Hall effect
• Emergent glassiness in disorder-free Kitaev model: Density matrix renormalization group study on a one-dimensional ladder setting
• Exceptional dynamics of interacting spin liquids
• Acoustic phonon dispersion of $\alpha$-RuCl${}_3$
• Fractionalization Signatures in the Dynamics of Quantum Spin Liquids
• Heisenberg-Kitaev Models on Hyperhoneycomb and Stripyhoneycomb Lattices: 3D-2D Equivalence of Ordered States and Phase Diagrams
• Quasimolecular $J_{\mathrm{tet}}$=3/2 moments in the cluster Mott insulator GaTa${}_4$Se${}_8$
• Electric-field control of magnetic anisotropies: applications to Kitaev spin liquids and topological spin textures
• Hydrated lithium intercalation into the Kitaev spin liquid candidate material $\alpha -$RuCl${}_3$
• Correlation holes and slow dynamics induced by fractional statistics in gapped quantum spin liquids
• Magnetic terahertz resonances above the Néel temperature in the frustrated kagome antiferromagnet averievite
• Thermodynamics of a gauge-frustrated Kitaev spin liquid
• Phases and Quantum Phase Transitions in an Anisotropic Ferromagnetic Kitaev-Heisenberg-$\Gamma$ Magnet
• 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${}_3$
• Pseudospin-lattice coupling and electric control of the square-lattice iridate Sr2IrO4
• Nature of the Magnetic Interactions in Sr${}_3$NiIrO${}_6$
• Flat and Correlated Plasmon Bands in Graphene/$\alpha$-RuCl${}_3$ Heterostructures
• Chiral Spin Liquids at Finite Temperature in a Three-Dimensional Kitaev Model
• 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${}_3$
• Phase diagrams of spin-$S$ Kitaev ladders
• RIXS interferometry and the role of disorder in the quantum magnet Ba${}_3$Ti${}_{3-x}$Ir${}_x$O${}_9$
• Role of Majorana fermions in spin transport of anisotropic Kitaev model
• Microscopic Roadmap to a Yao-Lee Spin-Orbital Liquid
• Differentiable programming tensor networks for Kitaev magnets
• Phonon Dynamics in the Generalized Kitaev Spin Liquid
• Scattering phenomena for spin transport in Kitaev spin liquid
• Oriented propagation of magnetization due to chiral edge modes in Kitaev-type models
• Spinons and damped phonons in spin-1/2 quantum-liquid Ba${}_4$Ir${}_3$O${}_{10}$ observed by Raman scattering
• $J=1/2$ Pseudospins and $d$-$p$ Hybridization in the Kitaev Spin Liquid Candidates Ru$X_3$ ($X$ = Cl, Br, I)
• Electronic excitations in $5d^4$ J=0 Os${}^{4+}$ halides studied by RIXS and optical spectroscopy
• Realization and detection of Kitaev quantum spin liquid with Rydberg atoms
• Magnetic-field Induced Topological Transitions and Thermal Conductivity in a Generalized Kitaev Model
• Islands of Chiral Solitons in Integer Spin Kitaev Chains
• Orbital Magnetic Field Effects in Mott Insulators with Strong Spin-Orbit Coupling
• Magnetic States of Graphene Proximitized Kitaev Materials
• Quantum percolation of monopole paths and the response of quantum spin ice
• Dynamics of fractionalized mean-field theories: consequences for Kitaev materials
• Kitaev Interactions Through an Extended Superexchange Pathway in the jeff = 1/2 Ru3+ Honeycomb Magnet, RuP3SiO11
• Order by singularity in Kitaev clusters
• Novel quantum spin liquid ground state in the trimer rhodate Ba${}_4$NbRh${}_3$O${}_{12}$
• Stripe order and magnetic anisotropy in the $S=1$ antiferromagnet BaMoP${}_2$O${}_8$
• Kitaev-Heisenberg model on the star lattice: From chiral Majorana fermions to chiral triplons
• Spin liquid fingerprints in the thermal transport of a Kitaev-Heisenberg ladder
• Emergent quantum Majorana metal from a chiral spin liquid
• Twice Hidden String Order and Competing Phases in the Spin-1/2 Kitaev-Gamma Ladder
• Gapless dynamic magnetic ground state in the charge-gapped trimer iridate Ba${}_4$NbIr${}_3$O${}_{12}$
• Strain-induced phase diagram of the $S=\frac{3}{2}$ Kitaev material $\mathrm{CrSiT}{\mathrm{e}}_3$
• Field-driven spatiotemporal manipulation of Majorana zero modes in a Kitaev spin liquid
• Orientation-dependent stabilization of MgCr${}_2$O${}_4$ spinel thin films
• Majorana Fermion Mean-Field Theories of Kitaev Quantum Spin Liquids
• Defect production and quench dynamics in the three-dimensional Kitaev model
• Converting electrons into emergent fermions at a superconductor-Kitaev spin liquid interface
• Model of spin liquids with and without time-reversal symmetry
• Dynamical response theory of interacting Majorana fermions and its application to generic Kitaev quantum spin liquids in a field
• The SpinParser software for pseudofermion functional renormalization group calculations on quantum magnets
• Extended Quantum Spin Liquid with Spinon-like Excitations in an Anisotropic Kitaev-Gamma Model
• Breakdown of order-fractionalization in the CPT model
• Multinode quantum spin liquids in extended Kitaev honeycomb models: the view from variational Monte Carlo
• Quantum-classical crossover in the spin-1/2 Heisenberg-Kitaev kagome magnet
• Kinetic Ferromagnetism and Topological Magnons of the Hole-Doped Kitaev Spin Liquid
• Entanglement dynamics in monitored Kitaev circuits: loop models, symmetry classification, and quantum Lifshitz scaling
• Valence bond fluctuations in the Kitaev spin model
• Exploring rare-earth Kitaev magnets by massive-scale computational analysis
• Entanglement in 3D Kitaev Spin Liquids
• MoP${}_3$SiO${}_{11}$: a $4d^3$ honeycomb antiferromagnet with disconnected octahedra
• Exact deconfined gauge structures in the higher-spin Yao-Lee model: a quantum spin-orbital liquid with spin fractionalization and non-Abelian anyons
• Nature of Topological Phase Transition of Kitaev Quantum Spin Liquids
• Probing emergent QED in quantum spin ice via Raman scattering of phonons: shallow inelastic scattering and pair production
• Theory of quasiparticle interference in Kitaev quantum spin liquids
• Anderson localization of emergent quasiparticles: Spinon and vison interplay at finite temperature in a ${\mathbb{Z}}_2$ gauge theory in three dimensions
• Phonon Dynamics in the Chiral Kitaev Spin Liquid
• Local spin-flip transitions induced by magnetic quantum impurities in two-dimensional magnets
• Machine learning reveals features of spinon Fermi surface
• Non-local features of the spin-orbit exciton in Kitaev materials
• Thermal algebraic-decay charge liquid driven by competing short-range Coulomb repulsion
• Emergent magnetic order in the antiferromagnetic Kitaev model with a [111] field
• Left-left-right-right magnetic order in spin-1/2 Kitaev-Heisenberg chain
• Static and fluctuating zigzag order, and possible signatures of Kitaev physics, in torque measurements of $\alpha$-RuCl${}_3$
• Edge Theories for Anyon Condensation Phase Transitions
• Entangled multi-knot lattice model of anyon current
• Quantum subspace expansion approach for simulating dynamical response functions of Kitaev spin liquids
• Perfectly hidden order and Z2 confinement transition in a fully packed monopole liquid
• Human-machine collaboration: ordering mechanism of rank-2 spin liquid on breathing pyrochlore lattice
• Quasicrystalline Spin Liquid
• Emergent Hyper-Magic Manifold in Twisted Kitaev Bilayers
• Universal excitonic superexchange in spin-orbit-coupled Mott insulators
• The spin-orbital Kitaev model: from kagome spin ice to classical fractons
• Interplay of Kitaev Interaction and Off-diagonal Exchanges: Exotic Phases and Quantum Phase Diagrams
• Dominant Kitaev interaction and field-induced quantum phase transitions in triangular-lattice KCeSe2
• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
• Global quantum phase diagram and non-Abelian chiral spin liquid in a spin-3/2 square lattice antiferromagnet
• Impact of disorder on dynamics and ordering in the honeycomb lattice iridate Na${}_2$IrO${}_3$
• Anyon polarons as a window into competing phases of the Kitaev honeycomb model under a Zeeman field
• A Novel ground state in a new dimer iridate Ba13Ir6O30 with Ir6+(5d3) Ions
• Time scales in the thermal dynamics of magnetic dipolar clusters
• A set-up for Hard X-ray Time-resolved Resonant Inelastic X-ray Scattering at SwissFEL
• Edge Spin fractionalization in one-dimensional spin-$S$ quantum antiferromagnets
• Dynamic Spin-Lattice Coupling and Statistical Interpretation for the Molecular-Like Excitations in Frustrated Pyrochlores
• Exact Ground States and Phase Diagram of the Quantum Compass Model under an in-plane Field
• Pairing tendencies in the doped Kitaev-Heisenberg model
• Molecular dipoles in designer honeycomb lattices
• The ground state in a proximity to a possible Kitaev spin liquid: An undistorted honeycomb iridate NaxIrO3 (0.60 < x < 0.80)
• Evolution of Spin-Orbital Entanglement with Increasing Ising Spin-Orbit Coupling
• Exchange Interactions in Rare-earth Magnets $A_2$PrO${}_3$ ($A$= alkali metals): Revisited
• The nature of low-temperature spin-freezing in frustrated Kitaev magnets
• Quantum spin models of commensurate $p$-wave magnets
• Topological Aspects of Antiferromagnets
• Exactly solvable dissipative dynamics and one-form strong-to-weak spontaneous symmetry breaking in interacting two-dimensional spin systems
• One-Dimensional Quantum Magnetism in the S = 1/2 Mo(V) system, KMoOP2O7
• Thermal decomposition of the Kitaev material $\alpha$-RuCl${}_3$ and its influence on low-temperature behavior
• Pulsed Neutron Spectroscopy of Low Dimensional Magnets: Past, Present, and Future
• Multi-$Q$ magnetic phases from frustration and chiral interactions
• Assembling Kitaev honeycomb spin liquids from arrays of 1D symmetry protected topological phases
• Deciphering competing interactions of Kitaev-Heisenberg-$\Gamma$ system in clusters: part I -- static properties
• Formulation of spin Nernst effect for spin-nonconserving insulating magnets
• Eleven Competing Phases in the Heisenberg-Gamma (J$\Gamma$) Ladder
• Electric polarization near vortices in the extended Kitaev model
• Vacancies in generic Kitaev spin liquids
• Deciphering competing interactions of Kitaev-Heisenberg-$\Gamma$ system in clusters: part II -- dynamics of Majorana fermions
• Field tuning Kitaev systems for spin fractionalization and topological order
• A solvable embedding mechanism for one-dimensional spinless and Majorana fermions in higher-dimensional spin-1/2 magnets
• Signatures of fractionalization in the optical phonons of hyperhoneycomb Kitaev magnet $\beta$-Li${}_2$IrO${}_3$
• A $j_{\mathrm{eff}}=1/2$ pseudospinon continuum in CaIrO${}_3$
• Real-time control of non-Abelian anyons in Kitaev spin liquid under energy dissipation
• Chiral spin liquid in a generalized Kitaev honeycomb model with ${\mathbb{Z}}_4$ 1-form symmetry
• Coexistence of static and dynamic local magnetic fields in an S = 3/2 honeycomb lattice antiferromagnet Co2Te3O8
• Strain-induced Landau levels of Majorana fermions in an anisotropically interacting Kitaev model on a honeycomb lattice
• Tunable chiral spiral phases in a non-Hermitian Ising-Gamma spin chain
• Coupled-cluster approach to vibronic effects in resonant inelastic x-ray scattering of quantum materials: Application to a $5d^1$ rhenium oxide
• Reviving Majorana zero modes in the spin-1/2 Kitaev ladder model
• Robustness of Vacancy-Bound Non-Abelian Anyons in the Kitaev Model in a Magnetic Field
• Tuning magnetic interactions with nonequilibrium optical phonon populations: a theoretical study
• Emergent gapless spiral phases and conformal Lifshitz criticality in the cluster Ising model with off-diagonal interactions
• Real-space spectral simulation of quantum spin models: Application to generalized Kitaev models
• Schwinger boson theory for $S=1$ Kitaev quantum spin liquids
• Disorder and non-Hermiticity in Kitaev spin liquids with a Majorana Fermi surface
• Three-dimensional Stacking of Canted Antiferromagnetism and Pseudospin Current in Undoped Sr${}_2$IrO${}_4$: Symmetry Analysis and Microscopic Model Realization
• Phase diagram of a square lattice model of XY Spins with direction-dependent interactions
• Quantum phase transitions in the alternating XY chain with three-site interactions
• Ferrichiral skyrmions with sublattice-resolved chirality in extended Kitaev model in triangular lattice
• Disorder, Low-Energy Excitations, and Topology in the Kitaev Spin Liquid
• Spin-orbit driven $J_{eff}=1/2$ magnetism in a d${}^7$ triangular-lattice monolayer cobaltate
• Efficiently preparing chiral states via fermionic cooling on bosonic quantum hardware
• Emergent spacetime supersymmetry at 2D fractionalized quantum criticality
• Stability of ordered and disordered phases in the Heisenberg-Kitaev model in a magnetic field
• Mapping the Phase Diagram of a Frustrated Magnet: Degeneracies, Flat Bands, and Canting Cycles on the Pyrochlore Lattice
• Vortex creation and control in the Kitaev spin liquid by local bond modulations
• Susceptibility anisotropy and absence of ferroelectric order in the Kitaev spin liquid candidate Na${}_2$Co${}_2$TeO${}_6$
• Strategy to Extract Kitaev Interaction using Symmetry in Honeycomb Mott Insulators
• 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
• Designer quantum matter in van der Waals heterostructures
• Evolution of crystal field and intraionic interactions in the ilmenite $A$IrO${}_3$ ($A$ = Mg, Zn, Cd) and hyperhoneycomb $\beta$-ZnIrO${}_3$
• Real-space chirality from crystalline topological defects in the Kitaev spin liquid
• Ground State Properties of the Doped Kitaev-Heisenberg Chain: Topological Superconducting and Mott Insulating Phases Driven by Magnetic Frustration
• Dynamical Response of the Kitaev Spin Liquid under Third-Nearest-Neighbor Heisenberg Interaction
• Thermal and quantum fluctuations in extended Kitaev-Yao-Lee spin-orbital model
• Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers
• Critical States of Fermions with ${\mathbb{Z}}_2$ Flux Disorder
• Majorana Signatures in Planar Tunneling through a Kitaev Spin Liquid
• Exactly solvable spin liquids in Kitaev bilayers and moiré superlattices
• Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays
• Signatures of a Majorana-Fermi surface in the Kitaev magnet Ag${}_3$LiIr${}_2$O${}_6$