Kitaev quantum spin liquid - concept and materialization

Abstract

A decade ago, Alexei Kitaev proposed an exactly solvable $S$ = 1/2 model on a two-dimensional honeycomb lattice, where the spins fractionalize into Majorana fermions and form a topological quantum spin liquid (QSL) in the ground state. It was soon recognized that a family of complex iridium oxides, as well as ruthenium chloride, with honeycomb structure are magnetic insulators and accommodate essential ingredients of the Kitaev model, due to the interplay of electron correlation and spin-orbit coupling. This initiated a race to materialize the Kitaev QSL and to capture the signature of Majorana fermions. In this review, we provide a wide perspective of this rapidly growing field, including theory, materials and experiment. We first summarize the theoretical background of the Kitaev QSL ground state and its materialization using spin-orbital-entangled $J_{\mathrm{eff}}$ = 1/2 moments. This is followed by an overview of candidate materials and their magnetic properties, including Na${}_2$IrO${}_3$, $\alpha$, $\beta$, $\gamma$-Li${}_2$IrO${}_3$,$\alpha$-RuCl${}_3$ and H${}_3$LiIr${}_2$O${}_6$. Finally, we review the latest exciting progress in the search for the Kitaev QSL. In particular, H${}_3$LiIr${}_2$O${}_6$ and $\alpha$-RuCl${}_3$ in applied magnetic field show signatures of the QSL state, and $\alpha$-RuCl${}_3$ has unusual magnetic excitations and thermal transport properties that are consistent with spin fractionalization.

Accepted for publication in Nature Reviews Physics

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Cited by in corpus (544)

• Quantum Spin Liquids
• Half-integer quantized anomalous thermal Hall effect in the Kitaev material $\alpha$-RuCl${}_3$
• Hunting Majorana Fermions in Kitaev Magnets
• Orbital effects in solids: basics, recent progress and opportunities
• Kitaev Spin Liquid in 3d Transition Metal Compounds
• Robustness of the thermal Hall effect close to half-quantization in a field-induced spin liquid state
• Field-induced quantum spin disordered state in spin-1/2 honeycomb magnet Na2Co2TeO6
• Spin-orbit-entangled electronic phases in 4$d$ and 5$d$ transition-metal compounds
• Rethinking $\alpha$-RuCl${}_3$
• Antiferromagnetic Kitaev interaction in $J_\rm{eff}=1/2$ cobalt honeycomb materials Na${}_3$Co${}_2$SbO${}_6$ and Na${}_2$Co${}_2$TeO${}_6$
• Materials design of Kitaev spin liquids beyond the Jackeli-Khaliullin mechanism
• Ferrimagnetism and anisotropic phase tunability by magnetic fields in Na${}_2$Co${}_2$TeO${}_6$
• Spin-orbit phase behaviors of Na2Co2TeO6 at low temperatures
• Magnetic field effect on topological spin excitations in CrI${}_3$
• Proximate ferromagnetic state in the Kitaev model material $\alpha$-RuCl${}_3$
• Sign structure of thermal Hall conductivity for in-plane-field polarized Kitaev magnets
• 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
• Order-by-Disorder from Bond-Dependent Exchange and Intensity Signature of Nodal Quasiparticles in a Honeycomb Cobaltate
• Field-induced intermediate ordered phase and anisotropic interlayer interactions in $\alpha$-RuCl${}_3$
• Realization of robust boundary modes and non-contractible loop states in photonic Kagome lattices
• Geometrical frustration versus Kitaev interactions in BaCo${}_2$(AsO${}_4$)${}_2$
• Static and dynamic magnetic properties of honeycomb lattice antiferromagnets Na${}_2{M}_2$TeO${}_6$, $M$ = Co and Ni
• Thermodynamic Evidence of Proximity to a Kitaev Spin-Liquid in Ag${}_3$LiIr${}_2$O${}_6$
• High-Field Quantum Disordered State in $\alpha$-RuCl3: Spin Flips, Bound States, and a Multi-Particle Continuum
• Excitations in the ordered and paramagnetic states of honeycomb magnet Na2Co2TeO6
• Theory of two-dimensional nonlinear spectroscopy for the Kitaev spin liquid
• Topological magnons for thermal Hall transport in frustrated magnets with bond-dependent interactions
• Dominant Kitaev interactions in the honeycomb materials Na${}_3$Co${}_2$SbO${}_6$ and Na${}_2$Co${}_2$TeO${}_6$
• Identification of Magnetic Interactions and High-field Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• Beyond Kitaev physics in strong spin-orbit coupled magnets
• A magnetic continuum observed by terahertz spectroscopy in a quantum spin liquid candidate BaCo${}_2$(AsO${}_4$)${}_2$
• XY magnetism, Kitaev exchange, and long-range frustration in the $J_{\mathrm{eff}}=1/2$ honeycomb cobaltates
• Hybridized quadrupolar excitations in the spin-anisotropic frustrated magnet FeI2
• Magnetic ground state of the Kitaev Na${}_2$Co${}_2$TeO${}_6$ spin liquid candidate
• The Jahn-Teller effect and spin--orbit coupling: friends or foes?
• Non-Abelian Floquet Spin Liquids in a Digital Rydberg Simulator
• 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
• Unusual heat transport of the Kitaev material Na${}_2$Co${}_2$TeO${}_6$: putative quantum spin liquid and low-energy spin excitations
• Accessing new magnetic regimes by tuning the ligand spin-orbit coupling in van der Waals magnets
• Phonon dynamics in the Kitaev spin liquid
• Thermal Hall effects in quantum magnets
• Thermodynamic perspective on the field-induced behavior of $\alpha$-RuCl${}_3$
• Experimental signatures of quantum and topological states in frustrated magnetism
• Magnetic anisotropy reversal driven by structural symmetry-breaking in monolayer α-RuCl3
• Giant magnetic in-plane anisotropy and competing instabilities in Na3Co2SbO6
• Thermodynamic and Transport Properties in Disordered Kitaev Models
• Heisenberg-Kitaev model in a magnetic field: $1/S$ expansion
• Magnetic Field Induced Competing Phases in Spin-Orbital Entangled Kitaev Magnets
• Electrical Access to Ising Anyons in Kitaev Spin Liquids
• Van Hove singularity in the magnon spectrum of the antiferromagnetic quantum honeycomb lattice
• Observation of spin-orbit excitations and Hund's multiplets in Ca${}_2$RuO${}_4$
• Theory of the Kitaev model in a [111] magnetic field
• The Heart of Entanglement: Chiral, Nematic, and Incommensurate Phases in the Kitaev-Gamma Ladder in a Field
• Thickness dependence of electronic structure and optical properties of a correlated van der Waals antiferromagnet NiPS${}_3$ thin film
• Variational study of the Kitaev-Heisenberg-Gamma model
• Non-Kitaev vs. Kitaev Honeycomb Cobaltates
• Triple-q order in Na${}_2$Co${}_2$TeO${}_6$ from proximity to hidden-SU(2)-symmetric point
• Progress and Prospects in Two-Dimensional Magnetism of van der Waals Materials
• Crystal field splitting, local anisotropy, and low energy excitations in the quantum magnet YbCl${}_3$
• Magnon damping in the zigzag phase of the Kitaev-Heisenberg-$\Gamma$ model on a honeycomb lattice
• Unveiling the S=3/2 Kitaev Honeycomb Spin Liquids
• Bond-dependent anisotropy and magnon decay in cobalt-based Kitaev triangular antiferromagnet
• Magnetoelastic coupling and effects of uniaxial strain in $\alpha$-RuCl${}_3$ from first principles
• Giant Phonon Anomalies in the Proximate Kitaev Quantum Spin Liquid $\alpha$-RuCl${}_3$
• Dynamic Jahn-Teller effect in the strong spin-orbit coupling regime
• Linear and Nonlinear Optical Responses in Kitaev Spin Liquids
• Majorana-mediated spin transport without spin polarization in Kitaev quantum spin liquids
• Towards Kitaev Spin Liquid in 3d Transition Metal Compounds
• Unveiling the phase diagram of a bond-alternating spin-$\frac{1}{2}$ $K$-$\Gamma$ chain
• Observation of a 1/3 Magnetisation Plateau Phase as Evidence for the Kitaev Interaction in a Honeycomb-Lattice Antiferromagnet
• Learning Quantum Hamiltonians from Single-qubit Measurements
• Anomalous Quantum Oscillations in a Heterostructure of Graphene on a Proximate Quantum Spin Liquid
• Exploring Quantum Materials with Resonant Inelastic X-Ray Scattering
• Angle-dependent thermodynamics of $\alpha$-RuCl${}_3$
• Spin Nematics Meet Spin Liquids: Exotic Quantum Phases in the Spin-$1$ Bilinear-Biquadratic Model with Kitaev Interactions
• Spin-Orbit Excitons in CoO
• Disorder upon disorder: localization effects in the Kitaev spin liquid
• Identification of a Kitaev Quantum Spin Liquid by Magnetic Field Angle Dependence
• Dynamical Signatures of Symmetry Broken and Liquid Phases in an $S=1/2$ Heisenberg Antiferromagnet on the Triangular Lattice
• Origin of oscillatory structures in the magnetothermal conductivity of the putative Kitaev magnet $\alpha$-RuCl${}_3$
• Functional renormalization group study of the Kitaev-$\Gamma$ model on the honeycomb lattice and emergent incommensurate magnetic correlations
• Polarization-resolved Raman spectroscopy of α-RuCl3 and evidence of room temperature two-dimensional magnetic scattering
• Significant thermal Hall effect in the 3$d$ cobalt Kitaev system $N{a}_{2}C{o}_{2}Te{O}_6$
• Magnon dispersion and dynamic spin response in three-dimensional spin models for $\alpha$-RuCl${}_3$
• Collective excitations in the tetravalent lanthanide honeycomb antiferromagnet, Na2PrO3
• Floquet engineering of Kitaev quantum magnets
• Effect of structural disorder on the Kitaev magnet Ag${}_3$LiIr${}_2$O${}_6$
• Computational design of $f$-electron Kitaev magnets: honeycomb and hyperhoneycomb compounds $A_2$PrO${}_3$ ($A=$ alkali metals)
• Controlling the magnetic state of the proximate quantum spin liquid $\alpha$-RuCl${}_3$ with an optical cavity
• Novel chiral quantum spin liquids in Kitaev magnets
• Observation of a random singlet state in a diluted Kitaev honeycomb material
• Quantum Paraelectricity in the Kitaev Quantum-Spin-Liquid Candidates H${}_3$LiIr${}_2$O${}_6$ and D${}_3$LiIr${}_2$O${}_6$
• Resonant inelastic x-ray scattering study of $\alpha$-RuCl${}_3$: a progress report
• Probing the Kitaev honeycomb model on a neutral-atom quantum computer
• Nonmagnetic $J=0$ State and Spin-Orbit Excitations in K${}_2$RuCl${}_6$
• The dynamics of local magnetic moments induced by itinerant Weyl electrons
• Unusual excitations and double-peak specific heat in a bond-alternating spin-$1$ $K$-$\Gamma$ chain
• Exact resummation of the Holstein-Primakoff expansion and differential equation approach to operator square-roots
• Quadrupolar magnetic excitations in an isotropic spin-1 antiferromagnet
• 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
• Signature of a randomness-driven spin-liquid state in a frustrated magnet
• Scanning tunneling spectroscopy of Majorana zero modes in a Kitaev spin liquid
• Magnetic Raman continuum in single crystalline H${}_3$LiIr${}_2$O${}_6$
• Benchmarking variational quantum eigensolvers for the square-octagon-lattice Kitaev model
• Spin dynamics in the Kitaev model with disorder: Quantum Monte Carlo study of dynamical spin structure factor, magnetic susceptibility, and NMR relaxation rate
• Universal Thermodynamics in the Kitaev Fractional Liquid
• Evidence of pair-density wave in doping Kitaev spin liquid on the honeycomb lattice
• Light-Induced Control of Magnetic Phases in Kitaev Quantum Magnets
• Anderson-Kitaev spin liquid
• Spin-Orbit Exciton in a Honeycomb Lattice Magnet CoTiO${}_3$: Revealing Link Between Rare Earth and Transition Metal Magnetism
• Extraction of the interaction parameters for $\alpha -$RuCl${}_3$ from neutron data using machine learning
• Easy-plane multi-$\mathbf{q}$ magnetic ground state of Na${}_3$Co${}_2$SbO${}_6$
• Magnetic phase diagram and possible Kitaev-like behavior of honeycomb-lattice antimonate Na3Co2SbO6
• High-field thermal transport properties of the Kitaev quantum magnet alpha-RuCl3: evidence for low-energy excitations beyond the critical field
• Majorana-Magnon Crossover by a Magnetic Field in the Kitaev Model: Continuous-Time Quantum Monte Carlo Study
• Coherent propagation of quasiparticles in topological spin liquids at finite temperature
• Dynamics of K${}_2$Ni${}_2$(SO${}_4$)${}_3$ governed by proximity to a 3D spin liquid model
• Kitaev magnetism through the prism of lithium iridate
• The sample-dependent and sample-independent thermal transport properties of $\alpha$-RuCl${}_3$
• An Exact Chiral Amorphous Spin Liquid
• Investigation of the magnetoelastic coupling anisotropy in the Kitaev material $\alpha$-RuCl${}_3$
• Intrinsic sign problem in fermionic and bosonic chiral topological matter
• Nonequilibrium Majorana Dynamics by Quenching a Magnetic Field in Kitaev Spin Liquids
• Easy-plane anisotropic-exchange magnets on a honeycomb lattice: quantum effects and dealing with them
• Possible Intermediate Quantum Spin Liquid Phase in $\alpha$-RuCl${}_3$ under High Magnetic Fields up to 100 T
• Trigonal Symmetry Breaking and its Electronic Effects in Two-Dimensional Dihalides and Trihalides
• Alleviating the Sign Problem in Quantum Monte Carlo Simulations of Spin-Orbit-Coupled Multi-Orbital Hubbard Models
• Spin liquid state in a rare-earth hyperkagome lattice
• A $j_{\mathrm{eff}}=1/2$ Kitaev material on the triangular lattice: The case of NaRuO${}_2$
• Quantum Spin Dynamics Due to Strong Kitaev Interactions in the Triangular-Lattice Antiferromagnet CsCeSe${}_2$
• Field-angle dependence of thermal Hall conductivity in magnetically ordered Kitaev-Heisenberg system
• Evidence for the first-order topological phase transition in a Kitaev spin liquid candidate $\alpha$-RuCl${}_3$
• Susceptibility anisotropy and its disorder evolution in models for Kitaev materials
• Multiple Spin-Orbit Excitons and the Electronic Structure of $\alpha$-RuCl${}_3$
• Temperature evolution of the phonon dynamics in the Kitaev spin liquid
• Dynamics of a two-dimensional quantum spin-orbital liquid: spectroscopic signatures of fermionic magnons
• Magnetic properties of triangular lattice antiferromagnets Ba3RB9O18 (R = Yb, Er)
• Projective symmetry group classification of chiral ${\mathbb{Z}}_2$ spin liquids on the pyrochlore lattice: application to the spin-$1/2$ XXZ Heisenberg model
• Identification of hidden order and emergent constraints in frustrated magnets using tensorial kernel methods
• Stripe-yz magnetic order in the triangular-lattice antiferromagnet KCeS2
• Nature of visons in the perturbed ferromagnetic and antiferromagnetic Kitaev honeycomb models
• Theory of magnetostriction for multipolar quantum spin ice in pyrochlore materials
• Further insights into the thermodynamics of the Kitaev honeycomb model
• Kitaev spin-orbital bilayers and their moiré superlattices
• Exchange interactions in $d^5$ Kitaev materials: From Na${}_2$IrO${}_3$ to $\alpha$-RuCl${}_3$
• Comprehensive study of the global phase diagram in the triangular $J$-$K$-$\Gamma$ model
• Competing multipolar orders in a face-centered cubic lattice: Application to the osmium double perovskites
• Phonon thermal transport shaped by strong spin-phonon scattering in a Kitaev material Na${}_2$Co${}_2$TeO${}_6$
• Disorder-induced broadening of the spin waves in a triangular-lattice quantum-spin-liquid candidate YbZnGaO${}_4$
• Self-selecting vapor growth of transition metal halide single crystals
• Excitonic Magnetism at the intersection of Spin-orbit coupling and crystal-field splitting
• Emergent moments and random singlet physics in a Majorana spin liquid
• Schwinger boson theory of ordered magnets
• Double magnetic transitions and exotic field induced phase in the triangular lattice antiferromagnets Sr${}_3$Co(Nb,Ta)${}_2$O${}_9$
• Scattering Signatures of Bond-Dependent Magnetic Interactions
• Vibronic order and emergent magnetism in cubic $d^1$ double perovskites
• Electronic and magnetic properties of iridium ilmenites $A$IrO${}_3$ ($A=$ Mg, Zn, and Mn)
• Thermal spin dynamics of Kitaev magnets $-$ scattering continua and magnetic field induced phases within a stochastic semiclassical approach
• Magnetoelectric generation of a Majorana-Fermi surface in Kitaev's honeycomb model
• NMR Investigation on Honeycomb Iridate Ag${}_3$LiIr${}_2$O${}_6$
• Machine-Learned Phase Diagrams of Generalized Kitaev Honeycomb Magnets
• Thermal anyon interferometry in phonon-coupled Kitaev spin liquids
• Controlling frustrated magnetism on the kagome lattice by uniaxial-strain tuning
• Spin interaction and magnetism in cobaltate Kitaev candidate materials: an $ab$ $initio$ and model Hamiltonian approach
• Quantum liquids of the S=3/2 Kitaev honeycomb and related Kugel-Khomskii models
• A Kitaev-type spin liquid on a quasicrystal
• Magnon-spinon dichotomy in the Kitaev hyperhoneycomb $\beta$-Li${}_2$IrO${}_3$
• Dynamical anyon generation in Kitaev honeycomb non-Abelian spin liquids
• Impurity-induced resonant spinon zero modes in Dirac quantum spin-liquids
• Two-Particle Self-Consistent method for the multi-orbital Hubbard model
• Proximate Dirac spin liquid in honeycomb lattice $J_1$-$J_3$ XXZ model: Numerical study and application to cobaltates
• Pseudo-Goldstone modes and dynamical gap generation from order-by-thermal-disorder
• Analytic calculation of the vison gap in the Kitaev spin liquid
• Magnetization plateaux cascade in the frustrated quantum antiferromagnet Cs${}_2$CoBr${}_4$
• Vison crystals, chiral and crystalline phases in the Yao-Lee model
• Magnetic fragmentation and fractionalized Goldstone modes in a bilayer quantum spin liquid
• Charge transfer energy in iridates: a hard x-ray photoelectron spectroscopy study
• Momentum-independent magnetic excitation continuum in the honeycomb iridate H${}_3$LiIr${}_2$O${}_6$
• Flux mobility delocalization in the Kitaev spin ladder
• Ground-state and thermodynamic properties of the spin-$\frac{1}{2}$ Heisenberg model on the anisotropic triangular lattice
• Magnetic molecular orbitals in MnSi
• Emergent orbital magnetization in Kitaev quantum magnets
• Featureless quantum paramagnet with frustrated criticality and competing spiral magnetism on spin-1 honeycomb lattice magnet
• Hidden orders in spin-orbit entangled correlated insulators
• Field evolution of magnetic phases and spin dynamics in the honeycomb lattice magnet Na2Co2TeO6: 23Na NMR study
• Signatures of Kitaev interactions in the van der Waals ferromagnet VI3
• The Saga of $\alpha$-RuCl${}_3$: Parameters, Models, and Phase Diagrams
• Spin dynamics of the generalized quantum spin compass chain
• Extent of frustration in the classical Kitaev-$\Gamma$ model via bond anisotropy
• Defect-Induced Low-Energy Majorana Excitations in the Kitaev Magnet $\alpha$-RuCl${}_3$
• 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${}_6$
• Hinge Magnons from Non-collinear Magnetic Order in Honeycomb Antiferromagnet
• Quadrupolar spin liquid, octupolar Kondo coupling and odd-frequency superconductivity in an exactly solvable model
• Spin liquid behavior of a three-dimensional magnetic system Ba${}_3$NiIr${}_2$O${}_9$ with $S$ = 1
• Magnetic vortex liquid and anomalous thermal Hall conductivity in frustrated magnets with bond-dependent interactions
• Ground-state properties of the $K-\Gamma$ model on a honeycomb lattice
• Twisted Kitaev Bilayers and the Moiré Ising Model
• Comparative Raman Scattering Study of Crystal Field Excitations in Co-based Quantum Magnets
• Probing quantum spin liquids in equilibrium using the inverse spin Hall effect
• Spin-$S$ Kitaev-Heisenberg model on the honeycomb lattice: A high-order treatment via the many-body coupled cluster method
• Field-induced phase transitions and quantum criticality in a honeycomb antiferromagnet Na3Co2SbO6
• Field and Polarization Dependent Quantum Spin Dynamics in Honeycomb Magnet Na${}_2$Co${}_2$TeO${}_6$: Magnetic Excitations and Continuum
• Quasimolecular electronic structure of the spin-liquid candidate Ba${}_3$InIr${}_2$O${}_9$
• Chemical Principles of Intrinsic Topological Superconductors
• Emergent glassiness in disorder-free Kitaev model: Density matrix renormalization group study on a one-dimensional ladder setting
• Antiferromagnetic resonance in the cubic iridium hexahalides (NH${}_4$)${}_2$IrCl${}_6$ and K${}_2$IrCl${}_6$
• Exceptional dynamics of interacting spin liquids
• Fermionic approach to variational quantum simulation of Kitaev spin models
• Fractional Spin fluctuations and quantum liquid signature in Gd2ZnIrO6
• Persistent spin dynamics in magnetically ordered honeycomb cobalt oxides
• Improved effective vertices in the multi-orbital Two-Particle Self-Consistent method from Dynamical Mean-Field Theory
• NaRuO${}_2$: Kitaev-Heisenberg exchange in triangular-lattice setting
• Hydrated lithium intercalation into the Kitaev spin liquid candidate material $\alpha -$RuCl${}_3$
• Competing spin-orbital singlet states in the 4$d^4$ honeycomb ruthenate Ag${}_3$LiRu${}_2$O${}_6$
• Acoustic phonon dispersion of $\alpha$-RuCl${}_3$
• Introducing the monoclinic polymorph of the Kitaev magnet Na${}_2$Co${}_2$TeO${}_6$
• SmI3: 4f5 honeycomb magnet with spin-orbital entangled Γ7 Kramers doublet
• Random singlet state in Ba${}_5$CuIr${}_3$O${}_{12}$ single crystals
• Unification of parton and coupled-wire approaches to quantum magnetism in two dimensions
• Nonlinear response of the Kitaev honeycomb lattice model in a weak magnetic field
• Proximate Kitaev system for an intermediate magnetic phase in in-plane magnetic fields
• Vibronic excitations in resonant inelastic x-ray scattering spectra of K${}_2$RuCl${}_6$
• Oscillations of the thermal conductivity observed in the spin-liquid state of $\alpha$-RuCl${}_3$
• Fractionalization Signatures in the Dynamics of Quantum Spin Liquids
• Dynamic Spin Fluctuations in the Frustrated Spin Chain Compound Li${}_3$Cu${}_2$SbO${}_6$
• Spin liquid in twisted homobilayers group-VI gichalcogenides
• Electric-field control of magnetic anisotropies: applications to Kitaev spin liquids and topological spin textures
• Valence bond glass state in the 4$d^1$ fcc antiferromagnet Ba${}_2$LuMoO${}_6$
• Single-crystal study of the honeycomb XXZ magnet BaCo${}_2$(PO${}_4$)${}_2$ in magnetic fields
• Interplay of magnetism and dimerization in pressurized Kitaev material $\beta$-Li${}_2$IrO${}_3$
• Crystal-field excitations and vibronic modes in triangular-lattice spin-liquid candidate TbInO${}_3$
• Neutron spectroscopy evidence for a possible magnetic-field-induced gapless quantum-spin-liquid phase in a Kitaev material $\alpha$-RuCl${}_3$
• Disorder effects in the Kitaev-Heisenberg model
• Spin excitation continuum to topological magnon crossover and thermal Hall conductivity in Kitaev magnets
• Diffuse Scattering from Correlated Electron Systems
• Quadrupole partial orders and triple-$q$ states on the face-centered cubic lattice
• Quantum critical spin-liquid-like behavior in S = 1/2 quasikagome lattice CeRh1-xPdxSn investigated using muon spin relaxation and neutron scattering
• Epitaxial stabilization of (111)-oriented frustrated quantum pyrochlore thin films
• Magnetic excitations in double perovskite iridates La${}_2$$M$IrO${}_6$ ($M$ = Co, Ni, and Zn) mediated by 3$d$-5$d$ hybridization
• Two-step growth of high-quality single crystals of the Kitaev magnet $\alpha$-RuCl${}_3$
• Interplay of superexchange and vibronic effects in the hidden order of Ba${}_2$MgReO${}_6$ from first principles
• Spin-wave dynamics in the KCeS2 delafossite: A theoretical description of powder inelastic neutron-scattering data
• Reentrant incommensurate order and anomalous magnetic torque in the Kitaev magnet $\beta$-${\text{Li}}_2{\text{IrO}}_3$
• Contrasting electronic states of RuI3 and RuCl3
• Confinement of fractional excitations in a triangular lattice antiferromagnet
• Unconventional magnetic field response of the hyperhoneycomb Kitaev magnet $\beta -{\text{Li}}_2{\text{IrO}}_3$
• Charge-Neutral Electronic Excitations in Quantum Insulators
• 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
• 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
• Phase diagrams of spin-$S$ Kitaev ladders
• Evidences for the random singlet phase in a new honeycomb iridate SrIr${}_2$O${}_{6-\delta }$
• RIXS interferometry and the role of disorder in the quantum magnet Ba${}_3$Ti${}_{3-x}$Ir${}_x$O${}_9$
• Spin Waves and Dirac Magnons in a Honeycomb Lattice Zig-zag Antiferromagnet BaNi2(AsO4)2
• Light-induced magnetization driven by interorbital charge motion in a spin-orbit assisted Mott insulator alpha-RuCl3
• Feasibility of Kitaev quantum spin liquids in ultracold polar molecules
• Spontaneous Chiral-Spin Ordering in Spin-Orbit Coupled Honeycomb Magnets
• Microscopic Roadmap to a Yao-Lee Spin-Orbital Liquid
• Quantum paramagnetism in the hyperhoneycomb Kitaev magnet $\beta$-ZnIrO${}_3$
• Emergent photons and fractionalized excitations in a quantum spin liquid
• Phonon Dynamics in the Generalized Kitaev Spin Liquid
• Differentiable programming tensor networks for Kitaev magnets
• Scattering phenomena for spin transport in Kitaev spin liquid
• CaCo${}_2$TeO${}_6$: A topochemically prepared 3$d^7$ honeycomb Kitaev magnet
• Role of Majorana fermions in spin transport of anisotropic Kitaev model
• Thermodynamic evidence for field-angle dependent Majorana gap in a Kitaev spin liquid
• Asymmetric modulation of Majorana excitation spectra and nonreciprocal thermal transport in the Kitaev spin liquid under a staggered magnetic field
• Spinons and damped phonons in spin-1/2 quantum-liquid Ba${}_4$Ir${}_3$O${}_{10}$ observed by Raman scattering
• Magnetic-field Induced Topological Transitions and Thermal Conductivity in a Generalized Kitaev Model
• Single-hole spectra of Kitaev spin liquids: from dynamical Nagaoka ferromagnetism to spin-hole fractionalization
• Work statistics across a quantum critical surface
• Chiral phonons induced from spin dynamics via magnetoelastic anisotropy
• Stabilization of a honeycomb lattice of IrO${}_6$ octahedra in superlattices with ilmenite-type MnTiO${}_3$
• Signatures of a Quantum Critical Endpoint in the Kitaev Candidate Na${}_2$Co${}_2$TeO${}_6$
• Efficient tensor network algorithm for layered systems
• Electronic excitations in $5d^4$ J=0 Os${}^{4+}$ halides studied by RIXS and optical spectroscopy
• $J=1/2$ Pseudospins and $d$-$p$ Hybridization in the Kitaev Spin Liquid Candidates Ru$X_3$ ($X$ = Cl, Br, I)
• Realization and detection of Kitaev quantum spin liquid with Rydberg atoms
• Magnetothermal transport in ultraclean single crystals of Kitaev magnet $\alpha$-RuCl${}_3$
• Canted antiferromagnetic order and spin dynamics in the honeycomb-lattice Tb2Ir3Ga9
• Dynamics of fractionalized mean-field theories: consequences for Kitaev materials
• Islands of Chiral Solitons in Integer Spin Kitaev Chains
• Topological phase diagrams of in-plane field polarized Kitaev magnets
• Neutron scattering study of the kagome metal Sc3Mn3Al7Si5
• Signatures of non-Loudon-Fleury Raman scattering in the Kitaev magnet $\beta$-Li${}_2$IrO${}_3$
• Twice Hidden String Order and Competing Phases in the Spin-1/2 Kitaev-Gamma Ladder
• 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
• Vibronic effect on resonant inelastic x-ray scattering in cubic iridium hexahalides
• Magnetic properties of a spin-orbit entangled Jeff = 1/2 honeycomb lattice
• Kitaev Interactions Through an Extended Superexchange Pathway in the jeff = 1/2 Ru3+ Honeycomb Magnet, RuP3SiO11
• Anyon condensation and confinement transition in a Kitaev spin liquid bilayer
• Resonating holes vs molecular spin-orbit coupled states in group-5 lacunar spinels
• Pyrochlore NaYbO2: A potential Quantum Spin Liquid Candidate
• Active orbital degree of freedom and potential spin-orbit-entangled moments in Kitaev magnet candidate BaCo${}_2$(AsO${}_4$)${}_2$
• Order by singularity in Kitaev clusters
• Tunable moire spinons in magnetically encapsulated twisted van der Waals quantum spin-liquids
• 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
• Extended Quantum Spin Liquid with Spinon-like Excitations in an Anisotropic Kitaev-Gamma Model
• Strong tuning of magnetism and electronic structure by spin orientation
• Dynamical response theory of interacting Majorana fermions and its application to generic Kitaev quantum spin liquids in a field
• Unconventional anomalous Hall effect in epitaxially stabilized orthorhombic Ru${}^{3+}$ perovskite thin films
• On the multi-$\mathbf{q}$ characteristics of magnetic ground states of honeycomb cobalt oxides
• Sachdev-Ye-Kitaev type physics in the strained Kitaev honeycomb model
• Anomalous thermal relaxation and pump-probe spectroscopy of 2D topologically ordered systems
• Majorana Fermion Mean-Field Theories of Kitaev Quantum Spin Liquids
• Orientation-dependent stabilization of MgCr${}_2$O${}_4$ spinel thin films
• Engineering the Kitaev spin liquid in a quantum dot system
• Can the highly symmetric SU(4) spin-orbital model be realized in alpha-ZrCl3?
• Quantum spin liquid in an RKKY-coupled two-impurity Kondo system
• Exactly solvable spin-1/2 XYZ models with highly-degenerate, partially ordered, ground states
• Hybrid Dyons, inverted Lorentz force and magnetic Nernst effect in quantum spin ice
• Magnetism and field-induced effects in the S = 5/2 honeycomb lattice antiferromagnet FeP3SiO11
• Controlling magnetic frustration in 1T-TaS${}_2$ via Coulomb engineered long-range interactions
• Frustrated ferromagnetic transition in AB-stacked honeycomb bilayer
• Interplay of magnetic field and trigonal distortion in the honeycomb $\Gamma$ model: Occurrence of a spin-flop phase
• Disorder-induced excitation continuum in a spin-1/2 cobaltate on a triangular lattice
• Gapless excitations in non-Abelian Kitaev spin liquids with line defects
• Magnetic versus nonmagnetic polymorphs of RuBr${}_3$ under pressure
• Magnetic interactions in AB-stacked kagome lattices: magnetic structure, symmetry, and duality
• Anisotropic magnetic interactions in a candidate Kitaev spin liquid close to a metal-insulator transition
• Magnetic oxides
• Continuous transition between Ising magnetic order and a chiral spin liquid
• Exploration of trivial and non-trivial electronic phases and of collinear and non-collinear magnetic phases in low-spin d${}^5$ perovskites
• Spin-orbital-lattice entanglement in the ideal j=1/2 compound K${}_2$IrCl${}_6$
• Interplay between multi-spin and chiral spin interactions on triangular lattice
• High Chern numbers and topological flat bands in high-field polarized Kitaev magnets on the star lattice
• Quantum-classical crossover in the spin-1/2 Heisenberg-Kitaev kagome magnet
• Kondo enabled transmutation between spinons and superconducting vortices: origin of magnetic memory in 4Hb-$\mathrm{Ta}{\mathrm{S}}_2$
• MoP${}_3$SiO${}_{11}$: a $4d^3$ honeycomb antiferromagnet with disconnected octahedra
• Kinetic Ferromagnetism and Topological Magnons of the Hole-Doped Kitaev Spin Liquid
• Insulator-to-metal Mott transition facilitated by lattice deformation in monolayer $\alpha$-RuCl${}_3$ on graphite
• Multinode quantum spin liquids in extended Kitaev honeycomb models: the view from variational Monte Carlo
• Room temperature relaxometry of single nitrogen-vacancy centers in proximity to $\alpha$-RuCl${}_3$ nanoflakes
• Dynamic Jahn-Teller Phenomena in Heavy Transition Metal Compounds
• Cobalt-Based Pyroxenes: A New Playground for Kitaev Physics and Ising Model Realization
• Spin Seebeck Effect as a Probe for Majorana Fermions in Kitaev Spin Liquids
• Valence bond fluctuations in the Kitaev spin model
• Novel magnetic ordering in LiYbO2 probed by muon spin relaxation
• Giant anisotropy of Gilbert damping in a Rashba honeycomb antiferromagnet
• Scalable quantum control and non-abelian anyon creation in the Kitaev honeycomb model
• Emergent Berezinskii-Kosterlitz-Thouless and Kugel-Khomskii physics in the triangular lattice bilayer colbaltate
• Intermediate field-induced phase of the honeycomb magnet BaCo${}_2$(AsO${}_4$)${}_2$
• Exploring rare-earth Kitaev magnets by massive-scale computational analysis
• Jahn-Teller states mixed by spin-orbit coupling in an electromagnetic field
• Static and fluctuating zigzag order, and possible signatures of Kitaev physics, in torque measurements of $\alpha$-RuCl${}_3$
• Giant anisotropic magnetoresistance in few-layer α-RuCl3 tunnel junctions
• Weyl-Luttinger phase transition in pyrochlore iridates revealed by Raman scattering
• Canted antiferromagnetism in a spin-orbit coupled $S_{\text{eff}}=3/2$ triangular-lattice magnet DyAuGe
• Unraveling the magnetic ground-state in alkali-metal lanthanide oxide Na${}_2$PrO${}_3$
• Non-local features of the spin-orbit exciton in Kitaev materials
• Phonon Dynamics in the Chiral Kitaev Spin Liquid
• Revisiting spin ice physics in the ferromagnetic Ising pyrochlore Pr${}_2$Sn${}_2$O${}_7$
• Collective magnetic Higgs excitation in a pyrochlore ruthenate
• High-temperature magnetic anomaly via suppression of antisite disorder through synthesis route modification in a Kitaev candidate Cu${}_2$IrO${}_3$
• Noncentrosymmetric Triangular Magnet CaMnTeO${}_6$: Strong Quantum Fluctuations and Role of s0 vs. s2 Electronic States in Competing Exchange Interactions
• Proximity-induced sequence of field transitions in Kitaev candidate BaCo${}_2$(AsO${}_4$)${}_2$
• Gauge symmetry of excited states in projected entangled-pair state simulations
• Polymorphism and Magnetism in a Kitaev Honeycomb Cobaltate KCoAsO${}_4$
• Ground state properties of the Heisenberg-compass model on the square lattice
• Local spin-flip transitions induced by magnetic quantum impurities in two-dimensional magnets
• Probing emergent QED in quantum spin ice via Raman scattering of phonons: shallow inelastic scattering and pair production
• Chiral spin liquid in a ${\mathbb{Z}}_3$ Kitaev model
• Spin waves in Na${}_2$Co${}_2$TeO${}_6$ studied by high-frequency/high-field ESR: Successes and failures of the triple-$\mathbf{q}$ model
• Multipolar spin liquid in an exactly solvable model for $j_{\mathrm{eff}}=\frac{3}{2}$ moments
• Computational studies on magnetism and ferroelectricity
• Signatures of a gapless quantum spin liquid in the Kitaev material Na${}_3$Co${}_{2-x}$Zn${}_x$SbO${}_6$
• Varying magnetism in the lattice distorted Y2NiIrO6 and La2NiIrO6
• 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
• Pressure tuning of competing interactions on a honeycomb lattice
• Magnetic order through Kondo coupling to quantum spin liquids
• The spin-orbital Kitaev model: from kagome spin ice to classical fractons
• Anisotropy of the zigzag order in the Kitaev honeycomb magnet $\alpha$-RuBr${}_3$
• Quantum subspace expansion approach for simulating dynamical response functions of Kitaev spin liquids
• Magnetic properties and field-induced phenomena in the Jeff = 1/2 distorted kagome antiferromagnet
• Detection of Electron Paramagnetic Resonance of Two Electron Spins Using a Single NV Center in Diamond
• Spin-orbit entangled moments and magnetic exchange interactions in cobalt-based honeycomb magnets BaCo${}_2$($X$O${}_4$)${}_2$ ($X$ = P, As, Sb)
• Edge Theories for Anyon Condensation Phase Transitions
• Dilution of the magnetic lattice in the Kitaev candidate $\alpha$-RuCl${}_3$ by Rh${}^{3+}$ doping
• Sound attenuation in the hyperhoneycomb Kitaev spin liquid
• Induction of Large Magnetic Anisotropy Energy and Formation of Multiple Dirac States in SrIrO${}_3$ Films: Role of correlation and spin-orbit coupling
• Structural stability of CuAl${}_2$O${}_4$ under pressure
• The Future of the Correlated Electron Problem
• Gapless state of interacting Majorana fermions in a strain-induced Landau level
• Inferring Hidden Symmetries of Exotic Magnets from Detecting Explicit Order Parameters
• Impact of disorder on dynamics and ordering in the honeycomb lattice iridate Na${}_2$IrO${}_3$
• Ultrafast spin dynamics in the proximate quantum spin liquid α-RuCl3
• Molecular dipoles in designer honeycomb lattices
• Field-Induced Ordered Phases in Anisotropic Spin-1/2 Kitaev Chains
• Quantum Spin Liquid phases in Kitaev Materials
• Possible Realization of Kitaev Spin Liquids in van der Waals Heterostructures of $\alpha$-RuCl${}_3$ and Cr$X_3$ ($X$=Cl and I)
• Dilemma in strongly correlated materials: Hund's metal vs relativistic Mott insulator
• Ground state and magnetic transitions of the orthorhombic antiferromagnet CaCo${}_2$TeO${}_6$
• Intermediate phases in $\alpha$-RuCl${}_3$ under in-plane magnetic field via interlayer spin interactions
• Hamiltonian Learning of Triplon Excitations in an Artificial Nanoscale Molecular Quantum Magnet
• Interplay of frustration and quantum fluctuations in a spin-1/2 anisotropic square lattice
• Electron quasi-itinerancy intertwined with quantum order by disorder in pyrochlore iridate magnetism
• Emergence of bond-dependent highly anisotropic magnetic interactions in Sr${}_4$RhO${}_6$: a theoretical study
• Magnetic Moiré Systems: a review
• Exact Ground States and Phase Diagram of the Quantum Compass Model under an in-plane Field
• Controlling the RKKY interaction and heat transport in a Kitaev spin liquid via $Z_2$ flux walls
• Complex orders and chirality in the classical Kitaev-$\Gamma$ model
• The nature of low-temperature spin-freezing in frustrated Kitaev magnets
• A set-up for Hard X-ray Time-resolved Resonant Inelastic X-ray Scattering at SwissFEL
• Advancing Hybrid Quantum-Classical Algorithms via Mean-Operators
• Bulk excitations in ultraclean $\alpha$-RuCl${}_3$: Quantitative evidence for Majorana dispersions in a Kitaev quantum spin liquid
• Dynamic Spin-Lattice Coupling and Statistical Interpretation for the Molecular-Like Excitations in Frustrated Pyrochlores
• Quantum Spin Liquids in Weak Mott Insulators with a Spin-Orbit Coupling
• Exchange Interactions in Rare-earth Magnets $A_2$PrO${}_3$ ($A$= alkali metals): Revisited
• J = 0 nonmagnetic insulating state in K${}_2$Os$X_6$ (X = F, Cl and Br)
• Evolution of Spin-Orbital Entanglement with Increasing Ising Spin-Orbit Coupling
• Monoclinic distortion in hyperhoneycomb Kitaev material $\beta$-ZnIrO${}_3$ revealed by improved sample quality
• Pairing tendencies in the doped Kitaev-Heisenberg model
• Theory of magnetism for rare-earth magnets on the Shastry-Sutherland lattice with non-Kramers ions
• Persistent quantum vibronic dynamics in a $5d^1$ double perovskite oxide
• Anyon polarons as a window into competing phases of the Kitaev honeycomb model under a Zeeman field
• Coexistence of anomalous spin dynamics and weak magnetic order in a chiral trillium lattice K2FeSn(PO4)3
• Anisotropic in-plane heat transport of Kitaev magnet Na${}_2$Co${}_2$TeO${}_6$
• Ferromagnetism vs. Antiferromagnetism in Narrow-Band Systems: Competition Between Quantum Geometry and Band Dispersion
• Real-time control of non-Abelian anyons in Kitaev spin liquid under energy dissipation
• Spin and charge order in doped spin-orbit coupled Mott insulators
• Impact of gapped spin-orbit excitons on low energy pseudospin exchange interactions
• Electronic transport mechanisms in a thin crystal of the Kitaev candidate $\alpha$-RuCl${}_3$ probed through guarded high impedance measurements
• Eleven Competing Phases in the Heisenberg-Gamma (J$\Gamma$) Ladder
• Searching for superconductivity in doped triangular lattice Kitaev magnets
• Deciphering competing interactions of Kitaev-Heisenberg-$\Gamma$ system in clusters: part II -- dynamics of Majorana fermions
• Topological Majorana flat bands in the Kitaev model on a Bishamon-kikko lattice
• Formulation of spin Nernst effect for spin-nonconserving insulating magnets
• Optical detection of bond-dependent and frustrated spin in the two-dimensional cobalt-based honeycomb antiferromagnet Cu3Co2SbO6
• Geometric and computational aspects of chiral topological quantum matter
• Field tuning Kitaev systems for spin fractionalization and topological order
• Monopoles in Dirac spin liquids and their symmetries from instanton calculus
• Raman spectroscopy of Na${}_3$Co${}_2$SbO${}_6$
• 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
• Assembling Kitaev honeycomb spin liquids from arrays of 1D symmetry protected topological phases
• Potential of Raman scattering in probing magnetic excitations and their coupling to lattice dynamics
• Deciphering competing interactions of Kitaev-Heisenberg-$\Gamma$ system in clusters: part I -- static properties
• Exactly solvable dissipative dynamics and one-form strong-to-weak spontaneous symmetry breaking in interacting two-dimensional spin systems
• (H,Li)${}_6$Ru${}_2$O${}_6$ : a possible zero-field Ru${}^{3+}$-based Kitaev Quantum Spin Liquid
• Walking on Archimedean Lattices: Insights from Bloch Band Theory
• Magnetic correlations in the semimetallic hyper-kagome iridate Na3Ir3O8
• A quantum Monte Carlo method on asymptotic Lefschetz thimbles for quantum spin systems: An application to the Kitaev model in a magnetic field
• A solvable embedding mechanism for one-dimensional spinless and Majorana fermions in higher-dimensional spin-1/2 magnets
• A $j_{\mathrm{eff}}=1/2$ pseudospinon continuum in CaIrO${}_3$
• Mixed-State Quantum Spin Liquids and Dynamical Anyon Condensations in Kitaev Lindbladians
• Signatures of fractionalization in the optical phonons of hyperhoneycomb Kitaev magnet $\beta$-Li${}_2$IrO${}_3$
• Electric polarization near vortices in the extended Kitaev model
• Ground-state phase diagram of anisotropically interacting Heisenberg-$\Gamma$ models on a honeycomb lattice
• Vacancies in generic Kitaev spin liquids
• A primer on Kitaev Model: Basic aspects, material realization, and recent experiments
• Direct evidence for anisotropic magnetic interaction in $\alpha$-RuCl${}_3$ from polarized inelastic neutron scattering
• Coexistence of static and dynamic local magnetic fields in an S = 3/2 honeycomb lattice antiferromagnet Co2Te3O8
• Detecting symmetry fractionalization in gapped quantum spin liquids by magnetic impurities
• Strain-induced Landau levels of Majorana fermions in an anisotropically interacting Kitaev model on a honeycomb lattice
• Computational exploration of a viable route to Kitaev-quantum spin liquid phase in OsCl${}_3$
• Enhanced Magnetism and Phase Transitions in Ultrathin Quantum Spin Liquid Na2IrO3 Flakes
• Signature of Topological Semimetal in Harmonic-honeycomb ReO3
• Quantum phase transitions in the alternating XY chain with three-site interactions
• Vison condensation and spinon confinement in a kagome-lattice ${\mathbb{Z}}_2$ spin liquid: A numerical study of a quantum dimer model
• Reviving Majorana zero modes in the spin-1/2 Kitaev ladder model
• Spin-Spin Correlations in the Kitaev Model at Finite Temperatures: Approximate and Exact Results via Green's Function Equation of Motion
• Using magnetic dynamics to measure the spin gap in a candidate Kitaev material
• Spin-liquid-like spin dynamics in the frustrated antiferromagnet TbBO3
• Bond disorder in extended Heisenberg-Kitaev models: Spin textures and in-gap states in the high-field regime
• Chiral spin liquid in a generalized Kitaev honeycomb model with ${\mathbb{Z}}_4$ 1-form symmetry
• Pressure-dependent magnetism of the Kitaev candidate Li${}_2$RhO${}_3$
• Topology-driven deconfined quantum criticality in magnetic bilayers
• Signatures of Floquet Engineering in the proximal Kitaev Quantum Spin Liquid H${}_3$LiIr${}_2$O${}_6$ by tr-RIXS
• Spin-phonon coupling and thermal Hall effect in the Kitaev model
• Field-induced phase transitions in the Kitaev-Heisenberg model: A sign-problem-free quantum Monte Carlo study and possible application to $\alpha$-RuCl3
• Dipolar and quadrupolar correlations in the $5d^2$ Re-based double perovskites Ba${}_2$YReO${}_6$ and Ba${}_2$ScReO${}_6$
• Robustness of Vacancy-Bound Non-Abelian Anyons in the Kitaev Model in a Magnetic Field
• Keldysh pseudo-fermion functional renormalization group for quantum magnetism
• Phenomenological Ginzburg-Landau theory for triple-Q magnetic orders on a hexagonal lattice
• Quantum spin dynamics of the honeycomb magnet K${}_2$Co${}_2$TeO${}_6$ in high magnetic fields
• Competing Interactions and the Effects of Uniaxial Out-of-plane Perturbations in the Honeycomb Antiferromagnet Na${}_2$Co${}_2$TeO${}_6$
• Spin-orbital magnetism in moiré Wigner molecules
• Moiré spintronics: Emergent phenomena, material realization and machine learning accelerating discovery
• Schwinger boson theory for $S=1$ Kitaev quantum spin liquids
• Magnetostriction in the $J$-$K$-$\Gamma$ model: Application of the numerical linked cluster expansion
• Coupled-cluster approach to vibronic effects in resonant inelastic x-ray scattering of quantum materials: Application to a $5d^1$ rhenium oxide
• Quantum phase with spontaneous translational symmetry breaking in an extended diamond chain
• Static and Dynamical Spin Correlations in the Kitaev Model at Finite Temperatures via Green's Function Equation of Motion
• The Kekulé-Kitaev model: linear and non-linear responses and magnetic field effects
• Magnetic ordering in the $J_{\mathrm{eff}}$ = 0 Nickelate NiRh${}_2$O${}_4$ prepared via a solid-state metathesis
• Photoinduced Pseudospin Polarization in a Three-Orbital Hubbard Model
• Thermal transport properties of IrSbSe
• Orbital liquid in the $e_g$ orbital Hubbard model in $d=\infty$ dimensions
• Spectroscopy of the frustrated quantum antiferromagnet Cs${}_2$CuCl${}_4$
• More bridging ligands activate direct exchange: the case of anisotropic Kitaev effective magnetic interactions
• Real-space chirality from crystalline topological defects in the Kitaev spin liquid
• Spin-orbit driven $J_{eff}=1/2$ magnetism in a d${}^7$ triangular-lattice monolayer cobaltate
• Linear tetramer formation in nonmagnetic pyrochlore niobate
• Vortex creation and control in the Kitaev spin liquid by local bond modulations
• Three-dimensional spin-orbital liquids
• Structural studies on $A_2$ReCl${}_6$ ($A$=K, Rb, Cs): absence of Jahn-Teller distortion
• Magnetic excitations in the Kitaev material Na${}_2$IrO${}_3$ studied by neutron scattering
• Majorana Signatures in Planar Tunneling through a Kitaev Spin Liquid
• Thermal and quantum fluctuations in extended Kitaev-Yao-Lee spin-orbital model
• Dynamical Response of the Kitaev Spin Liquid under Third-Nearest-Neighbor Heisenberg Interaction
• Non-Loudon-Fleury Raman scattering in spin-orbit coupled Mott insulators
• Ground State Properties of the Doped Kitaev-Heisenberg Chain: Topological Superconducting and Mott Insulating Phases Driven by Magnetic Frustration
• Evolution of crystal field and intraionic interactions in the ilmenite $A$IrO${}_3$ ($A$ = Mg, Zn, Cd) and hyperhoneycomb $\beta$-ZnIrO${}_3$
• Sizable Ligand-Mediated Bond-Dependent Interactions in a Spin-1 Triangular Antiferromagnet NiI${}_2$
• Phonon anomalies and critical scaling in the spin-$1/2$ trimer chain Na${}_2$Cu${}_3$Ge${}_4$O${}_{12}$
• Kitaev interaction and possible spin liquid state in CoI2 and Co2/3Mg1/3I2
• Mapping the Phase Diagram of a Frustrated Magnet: Degeneracies, Flat Bands, and Canting Cycles on the Pyrochlore Lattice
• Trigonal distortion in the Kitaev candidate honeycomb magnet BaCo2(AsO4)2
• Flux-induced midgap states between strain-engineered flat bands
• 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
• Dominant Kitaev Interaction and Field-induced Quantum Disordered Phase in the Cobaltate Na${}_2$Co${}_2$TeO${}_6$
• Magnetic field effects on the Kitaev model coupled to environment
• Phases and Quantum Phase Transitions in Anisotropic Antiferromagnetic Kitaev-Heisenberg-$\Gamma$ magnet
• Stability of ordered and disordered phases in the Heisenberg-Kitaev model in a magnetic field
• Ground state of the staggered Heisenberg-$\Gamma$ honeycomb model in a magnetic field
• Metallic ruthenium ilmenites: first-principles study of MgRuO${}_3$ and CdRuO${}_3$
• Disorder, Low-Energy Excitations, and Topology in the Kitaev Spin Liquid
• Pseudoscalar U(1) spin liquids in $\alpha$-RuCl${}_3$
• Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays
• Tuning the Chern number of Kitaev quantum spin liquid
• Exactly solvable spin liquids in Kitaev bilayers and moiré superlattices
• Temperature-induced valence-state transition in double perovskite Ba2-xSrxTbIrO6
• Magnetic excitations from the hexagonal spin clusters in the S = 1/2 distorted honeycomb lattice antiferromagnet Cu2(pymca)3(ClO4)
• Ligand-SOC enhanced $4f^5$ Kitaev antiferromagnet: Application to ${\mathrm{SmI}}_3$
• Honeycomb lattice iridate on the verge of Mott-collapse
• Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers
• Magnetic polarons due to spin-length fluctuations in ${\mathbf{d}}^4$ spin-orbit Mott systems
• Spin-liquid and spin-glass behavior in quantum spin models with all-to-all p-spin interactions
• Susceptibility anisotropy and absence of ferroelectric order in the Kitaev spin liquid candidate Na${}_2$Co${}_2$TeO${}_6$
• Crystalline water intercalation into the Kitaev honeycomb cobaltate Na${}_2$Co${}_2$TeO${}_6$
• Signatures of a Majorana-Fermi surface in the Kitaev magnet Ag${}_3$LiIr${}_2$O${}_6$
• The field-angle anisotropy of proximate Kitaev systems under an in-plane magnetic field
• Flux fractionalization transition in anisotropic $S=1$ antiferromagnets and dimer-loop models