Kitaev Quantum Spin Liquids

Abstract

Quantum spin liquids (QSLs) represent exotic states of matter where quantum spins interact strongly yet evade long-range magnetic order down to absolute zero. Characterized by non-local quantum entanglement and resultant fractionalized excitations, QSLs have emerged as a frontier in condensed matter physics, bolstered by the recent identification of several candidate materials. This field holds profound implications for understanding strong correlations, topological order, and emergent phenomena in quantum materials. Among them, the Kitaev model, featuring bond-directional Ising interactions, provides a rare exactly solvable QSL example. Its ground state is a topological QSL, with spin degrees of freedom fractionalized into emergent Majorana fermions. Under an applied magnetic field, the Kitaev QSL transitions to a topologically non-trivial chiral spin liquid state with non-Abelian anyons, offering potential resources for topological quantum computation. The non-Abelian character of these anyons in the Kitaev QSL demonstrates a profound connection to certain topological superconductors and even-denominator fractional quantum Hall states. Since the theoretical prediction that the Kitaev model could manifest in spin-orbit-coupled materials such as honeycomb iridates and ruthenates, research has focused on identifying candidate compounds. In particular, experimental evidence suggests spin fractionalization and topological phenomena akin to the Kitaev model in the spin-orbit Mott insulator RuCl3. However, results and interpretations remain actively debated. This review begins with a brief review on QSLs in other systems, followed by a comprehensive survey of existing studies on Kitaev candidate materials, with a particular focus on RuCl3. Rather than offering conclusive remarks, our aim is to inspire future research by examining several key aspects of the current literature and perspectives.

65 pages, 33 figures. Review article to be published in Rev. Mod. Phys

References in corpus (346)

• Double-slit photoelectron interference in strong-field ionization of the neon dimer
• Non-Abelian Anyons and Topological Quantum Computation
• Anyons in an exactly solved model and beyond
• Topological entanglement entropy
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Quantum Spin Liquids
• Quantum Spin Liquid States
• Magnetic Monopoles in Spin Ice
• Correlated quantum phenomena in the strong spin-orbit regime
• Spin Liquid Ground State of the $S=1/2$ Kagome Heisenberg Model
• Fractionalized excitations in the spin liquid state of a kagomé lattice antiferromagnet
• Spin Liquid State in an Organic Mott Insulator with Triangular Lattice
• Quantum Spin Liquids
• Kitaev-Heisenberg Model on Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides $A_2$IrO${}_3$
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Kitaev quantum spin liquid - concept and materialization
• $\alpha$-RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
• Relevance of the Heisenberg-Kitaev model for the honeycomb lattice iridates A_2IrO_3
• Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
• Neutron tomography of magnetic Majorana fermions in a proximate quantum spin liquid
• Observation of the Magnon Hall Effect
• Generic spin model for the honeycomb iridates beyond the Kitaev limit
• Identifying Topological Order by Entanglement Entropy
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Models and Materials for Generalized Kitaev Magnetism
• Dirac Strings and Magnetic Monopoles in Spin Ice Dy2Ti2O7
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Spin waves and revised crystal structure of honeycomb iridate Na2IrO3
• Herbertsmithite and the Search for the Quantum Spin Liquid
• Theory of Thermal Hall Effect in Quantum Magnets
• A Field Guide to Spin Liquids
• On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3
• Challenges in Design of Kitaev Materials: Magnetic Interactions from Competing Energy Scales
• The monoclinic crystal structure of $\alpha$-RuCl${}_3$ and the zigzag antiferromagnetic ground state
• Scattering Continuum and Possible Fractionalized Excitations in $\alpha$-RuCl${}_3$
• Magnetic order in $\alpha$-RuCl${}_3$: a honeycomb lattice quantum magnet with strong spin-orbit coupling
• Quantum Spin Ice: A Search for Gapless Quantum Spin Liquids in Pyrochlore Magnets
• Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
• Quantum magnetism in the paratacamite family: towards an ideal kagome lattice
• Variational study of triangular lattice spin-1/2 model with ring exchanges and spin liquid state in κ-(ET)_2 Cu_2 (CN)_3
• Theoretical prediction of rotating magnon wavepacket in ferromagnets
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• Quantum Excitations in Quantum Spin Ice
• The "Coulomb phase" in frustrated systems
• Orbital order and fluctuations in Mott insulators
• Low-temperature crystal and magnetic structure of $\alpha$-RuCl3
• Direct evidence of a zigzag spin chain structure in the honeycomb lattice: A neutron and x-ray diffraction investigation on single crystal $\mathrm{N}{\mathrm{a}}_2\mathrm{Ir}{\mathrm{O}}_3$
• Evidence for a spinon Fermi surface in a triangular lattice quantum spin liquid candidate
• Evidence for a Gapped Spin-Liquid Ground State in a Kagome Heisenberg Antiferromagnet
• Hyper-honeycomb iridate $\beta$-Li2IrO3 as a platform for Kitaev magnetism
• Evidence for a Field-induced Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• Neel order in square and triangular lattice Heisenberg models
• Topological Nature of the Phonon Hall Effect
• Gapless quantum spin liquid ground state in the two-dimensional spin-1/2 triangular antiferromagnet YbMgGaO${}_4$
• Signature of magnetic monopole and Dirac string dynamics in spin ice
• Gapless spin-liquid phase in the kagome spin-1/2 Heisenberg antiferromagnet
• Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain
• Is 1T-TaS${}_2$ a 40 year old quantum spin liquid?
• Successive magnetic phase transitions in $\mathbf{\alpha }$-RuCl${}_3$: XY-like frustrated magnet on the honeycomb lattice
• Kitaev magnetism in honeycomb RuCl3 with intermediate spin-orbit coupling
• Angular Momentum of Phonons and Einstein-de Haas Effect
• Pseudospin exchange interactions in d^7 cobalt compounds: Possible realization of the Kitaev model
• Half-integer quantized anomalous thermal Hall effect in the Kitaev material $\alpha$-RuCl${}_3$
• Fermionic response from fractionalization in an insulating two-dimensional magnet
• The thermal Hall effect of spin excitations in a Kagome magnet
• Spin-orbit excitation energies, anisotropic exchange, and magnetic phases of honeycomb RuCl3
• Rotational motion of magnon and thermal Hall effect
• A new spin-anisotropic harmonic honeycomb iridate
• Disorder-Induced Mimicry of a Spin Liquid in YbMgGaO${}_4$
• Breakdown of Magnons in a Strongly Spin-Orbital Coupled Magnet
• Hunting Majorana Fermions in Kitaev Magnets
• Crystal structure and magnetism in $\alpha$-RuCl3: an ab-initio study
• Crystal field splitting and correlation effect on the electronic structure of A2IrO3
• Phase Diagram of $\alpha$-RuCl${}_3$ in an in-plane Magnetic Field
• Kitaev interactions between j=1/2 moments in honeycomb Na2IrO3 are large and ferromagnetic: insights from ab initio quantum chemistry calculations
• Seeing the light : experimental signatures of emergent electromagnetism in a quantum spin ice
• Thermal fractionalization of quantum spins in a Kitaev model: $T$-linear specific heat and coherent transport of Majorana fermions
• Controlling frustrated liquids and solids with an applied field in a kagome Heisenberg antiferromagnet
• Gapless Spin Excitations in the Field-Induced Quantum Spin Liquid Phase of alpha-RuCl3
• Spin-wave excitations evidencing the Kitaev interaction in single crystalline $\alpha$-RuCl${}_3$
• Vesignieite BaCu3V2O8(OH)2 as a Candidate Spin-1/2 Kagome Antiferromagnet
• $\mu$SR evidence for the U(1) quantum spin liquid ground state in the triangular antiferromagnet YbMgGaO${}_4$
• Kitaev-Heisenberg Hamiltonian for High-Spin $d^7$ Mott Insulators
• Observed Quantization of Anyonic Heat Flow
• First-Principles Study of the Honeycomb-Lattice Iridates Na2IrO3 in the Presence of Strong Spin-Orbit Interaction and Electron Correlations
• Anisotropic Ru3+ 4d5 magnetism in the alpha-RuCl3 honeycomb system: susceptibility, specific heat and Zero field NMR
• Unusual thermal Hall effect in a Kitaev spin liquid candidate $\alpha$-RuCl${}_3$
• Crystalline Electric Field Randomness in the Triangular Lattice Spin-Liquid YbMgGaO${}_4$
• Effect of lattice geometry on magnon Hall effect in ferromagnetic insulators
• Phase Diagram of a Frustrated Quantum Antiferromagnet on the Honeycomb Lattice: Magnetic Order versus Valence-Bond Crystal formation
• Anomalous thermal conductivity and magnetic torque response in the honeycomb magnet $\alpha$-RuCl${}_3$
• Thermal Hall conductivity in the frustrated pyrochlore magnet Tb2Ti2O7
• Quantum Kagome antiferromagnet ZnCu3(OH)6Cl2
• Hidden symmetries of the extended Kitaev-Heisenberg model: Implications for honeycomb lattice iridates A2IrO3
• Large field-induced gap of Kitaev-Heisenberg paramagnons in $\alpha$-RuCl${}_3$
• Field-induced quantum criticality in the Kitaev system $\alpha$-RuCl${}_3$
• Robustness of the thermal Hall effect close to half-quantization in a field-induced spin liquid state
• Ab initio analysis of the tight-binding parameters and magnetic interactions in Na2IrO3
• The kagome antiferromagnet: a chiral topological spin liquid ?
• Giant Magnetocaloric Effect in Spin Supersolid Candidate Na${}_2$BaCo(PO${}_4$)${}_2$
• Experimental signatures of a three-dimensional quantum spin liquid in effective spin-1/2 Ce2Zr2O7 pyrochlore
• Magnetic Excitations and Continuum of a Field-Induced Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• A new high-temperature quantum spin liquid with polaron spins
• Quantum spin ices and topological phases from dipolar-octupolar doublets on the pyrochlore lattice
• Na2IrO3 as a molecular orbital crystal
• Kitaev-Heisenberg-J2-J3 model for the iridates A2IrO3
• Quantum Ice : a quantum Monte Carlo study
• Two-dimensional higher-order topology in monolayer graphdiyne
• Magnetization processes of zigzag states on the honeycomb lattice: Identifying spin models for $\alpha$-RuCl${}_3$ and Na${}_2$IrO${}_3$
• Gapless ground state in the archetypal quantum kagome antiferromagnet ZnCu${}_3$(OH)${}_6$Cl${}_2$
• Berry Curvature and Phonon Hall Effect
• Spin-orbit excitations and electronic structure of the putative Kitaev magnet $\alpha$-RuCl${}_3$
• Imaging spinon density modulations in a 2D quantum spin liquid
• Raman Scattering Signatures of Kitaev Spin Liquids in A${}_2$ IrO${}_3$ Iridates
• Orbital magnetic field effects in spin liquid with spinon Fermi sea: Possible application to $\kappa$-(ET)${}_2$Cu${}_2$(CN)${}_3$
• Phonons become chiral in the pseudogap phase of cuprates
• Dynamics of Fractionalization in Quantum Spin Liquids
• Field-induced quantum spin disordered state in spin-1/2 honeycomb magnet Na2Co2TeO6
• Classification of gapless Z2 spin liquids in three-dimensional Kitaev models
• Hall effect of triplons in a dimerized quantum magnet
• The planar thermal Hall conductivity in the Kitaev magnet α-RuCl3
• Amperean Pairing Instability in the U(1) Spin Liquid State with Fermi Surface and Application to $\kappa -(BEDT-TTF{)}_{2}C{u}_2(CN{)}_3$
• Observation of two types of anyons in the Kitaev honeycomb magnet
• Kitaev interactions in the Co honeycomb antiferromagnets Na${}_3$Co${}_2$SbO${}_6$ and Na${}_2$Co${}_2$TeO${}_6$
• Thermal Transport in the Kitaev Model
• Magnetic properties of the honeycomb oxide Na${}_2$Co${}_2$TeO${}_6$
• Phonon thermal Hall effect in strontium titanate
• Ferromagnetic Kitaev interaction and the origin of large magnetic anisotropy in $\alpha$-RuCl${}_3$
• Relation between Kitaev magnetism and structure in $\alpha$-RuCl${}_3$
• Scaling and data collapse from local moments in frustrated disordered quantum spin systems
• Magnetic anisotropy in the Kitaev model systems Na2IrO3 and RuCl3
• Dynamic Scaling in the Susceptibility of the Spin-1\2 Kagome Lattice Antiferromagnet Herbertsmithite
• Theoretical investigation of the magnetic dynamics in $\alpha$-RuCl${}_3$
• Quantum Spin Ice Dynamics in the Dipole-Octupole Pyrochlore Magnet Ce${}_2$Zr${}_2$O${}_7$
• Sample dependence of the half-integer quantized thermal Hall effect in the Kitaev candidate $\alpha$-RuCl${}_3$
• Zigzag antiferromagnetic ground state with anisotropic correlation lengths in the quasi-2D honeycomb lattice compound Na2Co2TeO6
• Thermal Hall Effect Induced by Magnon-Phonon Interactions
• Weak-field induced nonmagnetic state in a Co-based honeycomb
• Importance of anisotropic exchange interactions in honeycomb iridates. Minimal model for zigzag antiferromagnetic order in Na${}_2$IrO${}_3$
• Quantum spin liquid signatures in Kitaev-like frustrated magnets
• Theory of the field-revealed Kitaev spin liquid
• Quantization of the thermal Hall conductivity at small Hall angles
• Thermal Hall Effect of Spins in a Paramagnet
• Finite field regime for a quantum spin liquid in $\alpha$-RuCl${}_3$
• Disorder in a quantum spin liquid: flux binding and local moment formation
• Robust non-Abelian spin liquid and possible intermediate phase in antiferromagnetic Kitaev model with magnetic field
• Frustration and anisotropic exchange in ytterbium magnets with edge-shared octahedra
• Low temperature magnetization of the S=1/2 kagome antiferromagnet ZnCu_3(OH)_6Cl_2
• Rethinking $\alpha$-RuCl${}_3$
• Schwinger Boson Mean Field Theories of Spin Liquid States on Honeycomb Lattice: Projective Symmetry Group Analysis and Critical Field Theory
• Low-energy Spin Dynamics of the Honeycomb Spin Liquid Beyond the Kitaev Limit
• Magnon bound states vs. anyonic Majorana excitations in the Kitaev honeycomb magnet $\alpha$-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${}_6$
• Dynamical and Topological Properties of the Kitaev Model in a [111] Magnetic Field
• Materials design of Kitaev spin liquids beyond the Jackeli-Khaliullin mechanism
• The $S=1/2$ Kagome Heisenberg Antiferromagnet Revisited
• Approximately quantized thermal Hall effect of chiral liquids coupled to phonons
• Observation of Dirac-like energy band and ring-torus Fermi surface associated with the nodal line in topological insulator CaAgAs
• Fractional Spin Fluctuation as a Precursor of Quantum Spin Liquids: Majorana Dynamical Mean-Field Study for the Kitaev Model
• Candidate Quantum Spin Liquid in the Ce\textsuperscript{3+} Pyrochlore Stannate Ce${}_2$Sn${}_2$O${}_7$
• Damped Topological Magnons in the Kagomé-Lattice Ferromagnets
• Deconfined criticality in the frustrated Heisenberg honeycomb antiferromagnet
• Ferrimagnetism and anisotropic phase tunability by magnetic fields in Na${}_2$Co${}_2$TeO${}_6$
• Spinon Fermi surface spin liquid in a triangular lattice antiferromagnet NaYbSe${}_2$
• Antiferromagnetic resonance and terahertz continuum in $\alpha -$RuCl${}_3$
• Possible itinerant excitations and quantum spin state transitions in the effective spin-1/2 triangular-lattice antiferromagnet Na${}_2$BaCo(PO${}_4$)${}_2$
• Spin-orbit phase behaviors of Na2Co2TeO6 at low temperatures
• Site dilution in Kitaev's honeycomb model
• Evidence of a Phonon Hall Effect in the Kitaev Spin Liquid Candidate $\alpha$-RuCl${}_3$
• Strong quantum fluctuations in a quantum spin liquid candidate with a Co-based triangular lattice
• Phase Diagram and Quantum Order by Disorder in the Kitaev $K_1$-$K_2$ Honeycomb Magnet
• Magnetic field induced quantum phases in a tensor network study of Kitaev magnets
• Witnessing quantum criticality and entanglement in the triangular antiferromagnet KYbSe${}_2$
• Gapless excitations in the ground state of 1T-TaS${}_2$
• Emergence of nontrivial magnetic excitations in a spin liquid state of kagome volborthite
• Thermal Hall effect in a phonon-glass Ba${}_3$CuSb${}_2$O${}_9$
• Bond disordered spin liquid and the honeycomb iridate H${}_3$LiIr${}_2$O${}_6$ $-$ abundant low energy density of states from random Majorana hopping
• Large Thermal Hall Effect in $\alpha$-RuCl${}_3$: Evidence for Heat Transport by Kitaev-Heisenberg Paramagnons
• Proximate ferromagnetic state in the Kitaev model material $\alpha$-RuCl${}_3$
• Magnetic order in single crystals of Na3Co2SbO6 with a honeycomb arrangement of 3d${}^7$ Co${}^{2+}$ ions
• Coexisting localized and itinerant gapless excitations in a quantum spin liquid candidate 1T-TaS${}_2$
• Thermodynamic evidence of fractionalized excitations in α-RuCl3
• Sign structure of thermal Hall conductivity for in-plane-field polarized Kitaev magnets
• Unconventional spin dynamics in the honeycomb-lattice material $\alpha$-RuCl${}_3$: high-field ESR studies
• Gapped magnetic ground state in quantum-spin-liquid candidate $\kappa$-(BEDT-TTF)${}_2$-Cu${}_2$(CN)${}_3$
• Novel Pauli-paramagnetic quantum phase in a Mott insulator
• Absence of magnetic thermal conductivity in the quantum spin liquid candidate EtMe3Sb[Pd(dmit)2]2 -- revisited
• Spin Thermal Hall Conductivity of a Kagomé Antiferromagnet
• Magnetic field induced intermediate quantum spin-liquid with a spinon Fermi surface
• Quantum oscillations in insulators with neutral Fermi surfaces
• Local Probes for Charge-Neutral Edge States in Two-Dimensional Quantum Magnets
• Spin Wave Analysis of Low-Temperature Thermal Hall Effect in the Candidate Kitaev Spin Liquid $\alpha$-RuCl${}_3$
• Classical spin liquid instability driven by off-diagonal exchange in strong spin-orbit magnets
• Field-induced intermediate ordered phase and anisotropic interlayer interactions in $\alpha$-RuCl${}_3$
• Geometrical frustration versus Kitaev interactions in BaCo${}_2$(AsO${}_4$)${}_2$
• Magnetic thermal conductivity far above the Néel temperatures in the Kitaev-magnet candidate $\alpha$-RuCl${}_3$
• Antiferromagnetic Kitaev Interaction in $f$-Electron Based Honeycomb Magnets
• Enhanced thermal Hall effect in nearly ferroelectric insulators
• A series of magnon crystals appearing under ultrahigh magnetic fields in a kagomé antiferromagnet
• Unveiling Magnetic Interactions of Ruthenium Trichloride via Constraining Direction of Orbital moments: Potential Routes to Realize Quantum Spin Liquid
• High-Field Quantum Disordered State in $\alpha$-RuCl3: Spin Flips, Bound States, and a Multi-Particle Continuum
• Kitaev materials beyond iridates: order by quantum disorder and Weyl magnons in rare-earth double perovskites
• The case for a U(1)${}_{\pi }$ Quantum Spin Liquid Ground State in the Dipole-Octupole Pyrochlore Ce${}_2$Zr${}_2$O${}_7$
• Tunneling spectroscopy of quantum spin liquids
• Thermal conductivity of the quantum spin liquid candidate EtMe3Sb[Pd(dmit)2]2: No evidence of mobile gapless excitations
• Berry phase of phonons and thermal Hall effect in nonmagnetic insulators
• Topological magnons for thermal Hall transport in frustrated magnets with bond-dependent interactions
• Identification of Magnetic Interactions and High-field Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• Beyond Kitaev physics in strong spin-orbit coupled magnets
• Origin of the insulating state in honeycomb iridates and rhodates
• A magnetic continuum observed by terahertz spectroscopy in a quantum spin liquid candidate BaCo${}_2$(AsO${}_4$)${}_2$
• Field evolution of magnons in $\alpha$-RuCl${}_3$ by high-resolution polarized terahertz spectroscopy
• Possible Dirac quantum spin liquid in a kagome quantum antiferromagnet YCu${}_3$(OH)${}_6$Br${}_2$[Br${}_x$(OH)${}_{1-x}$]
• Magnetic ground state of the Kitaev Na${}_2$Co${}_2$TeO${}_6$ spin liquid candidate
• Vacancy-induced low-energy density of states in the Kitaev spin liquid
• Sleuthing out exotic quantum spin liquidity in the pyrochlore magnet Ce${}_2$Zr${}_2$O${}_7$
• Quantum spin liquid at finite temperature: proximate dynamics and persistent typicality
• Spin Supersolidity in Nearly Ideal Easy-axis Triangular Quantum Antiferromagnet Na${}_2$BaCo(PO${}_4$)${}_2$
• Unusual heat transport of the Kitaev material Na${}_2$Co${}_2$TeO${}_6$: putative quantum spin liquid and low-energy spin excitations
• A Néel-type antiferromagnetic order in the spin 1/2 rare-earth honeycomb YbCl${}_3$
• The range of non-Kitaev terms and fractional particles in RuCl${}_3$
• Phonon dynamics in the Kitaev spin liquid
• Pressure-induced melting of magnetic order and emergence of new quantum state in alpha-RuCl3
• Thermal Hall effects in quantum magnets
• Survival of itinerant excitations and quantum spin state transitions in YbMgGaO${}_4$ with chemical disorder
• Thermodynamic perspective on the field-induced behavior of $\alpha$-RuCl${}_3$
• High-pressure magnetization and NMR studies on $\alpha$-RuCl${}_3$
• Kitaev-like honeycomb magnets: Global phase behavior and emergent effective models
• Phase diagram of a distorted kagome antiferromagnet and application to Y-kapellasite
• Signatures of low-energy fractionalized excitations in $\alpha$-RuCl${}_3$ from field-dependent microwave absorption
• Evidence for a spinon Kondo effect in cobalt atoms on single-layer 1T-TaSe${}_2$
• Magnetic anisotropy reversal driven by structural symmetry-breaking in monolayer α-RuCl3
• The phonon thermal Hall angle in black phosphorus
• Emergence of spin singlets with inhomogeneous gaps in the kagome Heisenberg antiferromagnets Zn-barlowite and herbertsmithite
• Giant magnetic in-plane anisotropy and competing instabilities in Na3Co2SbO6
• STM as a single Majorana detector of Kitaev's chiral spin liquid
• Thermodynamic and Transport Properties in Disordered Kitaev Models
• Destabilization of magnetic order in a dilute Kitaev spin liquid candidate
• Magnetic Field Induced Competing Phases in Spin-Orbital Entangled Kitaev Magnets
• Nature of Magnetic Excitations in the High-Field Phase of $\alpha$-RuCl${}_3$
• Quantum-disordered state of magnetic and electric dipoles in a hydrogen-bonded Mott system
• Electrical Access to Ising Anyons in Kitaev Spin Liquids
• Gapless Spin Liquid Behavior in A Kagome Heisenberg Antiferromagnet with Randomly Distributed Hexagons of Alternate Bonds
• Dynamics of visons and thermal Hall effect in perturbed Kitaev models
• Thermal Hall Effects of Spins and Phonons in Kagome Antiferromagnet Cd-Kapellasite
• Field-induced quantum spin liquid in the Kitaev-Heisenberg model and its relation to $\alpha$-RuCl${}_3$
• Scale-invariant magnetic anisotropy in RuCl${}_3$ at high magnetic fields
• Non-Kitaev vs. Kitaev Honeycomb Cobaltates
• Electronic and phonon excitations in α-RuCl${}_3$
• Triple-q order in Na${}_2$Co${}_2$TeO${}_6$ from proximity to hidden-SU(2)-symmetric point
• Doping a topological quantum spin liquid: slow holes in the Kitaev honeycomb model
• Majorana dynamical mean-field study of spin dynamics at finite temperatures in the honeycomb Kitaev model
• Charged Defects and Phonon Hall Effects in Ionic Crystals
• Phonon renormalization in the Kitaev quantum spin liquid
• Giant Phonon Anomalies in the Proximate Kitaev Quantum Spin Liquid $\alpha$-RuCl${}_3$
• Kitaev honeycomb models in magnetic fields: Dynamical response and hidden symmetries
• Field-induced phase transitions of the Kitaev material $\alpha$-RuCl${}_3$ probed by thermal expansion and magnetostriction
• Selection of direction of the ordered moments in Na${}_2$IrO${}_3$ and $\alpha -$RuCl${}_3$
• Heat Transport in Herbertsmithite: Can a Quantum Spin Liquid Survive Disorder?
• Effective model with strong Kitaev interactions for $\alpha$-$\mathrm{RuC}{\mathrm{l}}_3$
• Two-step gap opening across the quantum critical point in a Kitaev honeycomb magnet
• Anomalous Quantum Oscillations in a Heterostructure of Graphene on a Proximate Quantum Spin Liquid
• Finite-temperature behavior of a classical spin-orbit-coupled model for ${\text{YbMgGaO}}_4$ with and without bond disorder
• Effects of spin vacancies on magnetic properties of the Kitaev-Heisenberg model
• Resonant thermal Hall effect of phonons coupled to dynamical defects
• Angle-dependent thermodynamics of $\alpha$-RuCl${}_3$
• Planar Thermal Hall Effects in Kitaev Spin Liquid Candidate Na2Co2TeO6
• Spectral evidence for Dirac spinons in a kagome lattice antiferromagnet
• Identification of a Kitaev Quantum Spin Liquid by Magnetic Field Angle Dependence
• Origin of oscillatory structures in the magnetothermal conductivity of the putative Kitaev magnet $\alpha$-RuCl${}_3$
• Field induced magnon excitation and in gap absorption of Kitaev candidate RuCl3
• Temperature evolution of spin dynamics in two- and three-dimensional Kitaev models: Influence of fluctuating gauge fluxes
• Role of quantum fluctuations on spin liquids and ordered phases in the Heisenberg model on the honeycomb lattice
• Magnon dispersion and dynamic spin response in three-dimensional spin models for $\alpha$-RuCl${}_3$
• Oscillations in the magnetothermal conductivity of $\mathbf{\alpha }$-RuCl${}_3$: Evidence of transition anomalies
• Gapless quantum spin liquid in a honeycomb $\Gamma$ magnet
• Majorana-fermion origin of the planar thermal Hall effect in the Kitaev magnet $\alpha$-RuCl${}_3$
• Computational design of $f$-electron Kitaev magnets: honeycomb and hyperhoneycomb compounds $A_2$PrO${}_3$ ($A=$ alkali metals)
• Extrinsic phonon thermal Hall transport from Hall viscosity
• Novel chiral quantum spin liquids in Kitaev magnets
• Heat transport of the kagomé Heisenberg quantum spin liquid candidate YCu${}_3$(OH)${}_{6.5}$Br${}_{2.5}$: localized magnetic excitations and spin gap
• Phonon Thermal Hall Conductivity from Scattering with Collective Fluctuations
• Emergent spin-gapped magnetization plateaus in a spin-1/2 perfect kagome antiferromagnet
• Symmetry-based requirement for the measurement of electrical and thermal Hall conductivity under an in-plane magnetic field
• Stacking disorder and thermal transport properties of $\alpha$-RuCl${}_3$
• Presence and absence of itinerant gapless excitations in the quantum spin liquid candidate EtMe${}_3$Sb[Pd(dmit)${}_2$]${}_2$
• Novel magnetism on a honeycomb lattice in a-RuCl3 studied by muon spin rotation
• Universal Thermodynamics in the Kitaev Fractional Liquid
• Observation of plaquette fluctuations in the spin-1/2 honeycomb lattice
• Spin dynamics in the Kitaev model with disorder: Quantum Monte Carlo study of dynamical spin structure factor, magnetic susceptibility, and NMR relaxation rate
• From spin liquid to magnetic ordering in the anisotropic kagome Y-Kapellasite Y3Cu9(OH)19Cl8: a single crystal study
• Plaquette-RVB state in the Frustrated Honeycomb Antiferromagnet
• THz excitations in α-RuCl3: Majorana fermions, rigid-plane shear and compression modes
• The observation of quantum fluctuations in a kagome Heisenberg antiferromagnet
• Anderson-Kitaev spin liquid
• Unconventional Magnetic Oscillations in Kagome Mott Insulators
• Majorana-Magnon Crossover by a Magnetic Field in the Kitaev Model: Continuous-Time Quantum Monte Carlo Study
• The sample-dependent and sample-independent thermal transport properties of $\alpha$-RuCl${}_3$
• An Exact Chiral Amorphous Spin Liquid
• Vison-Majorana complex zero-energy resonance in Kitaev's spin liquid
• Planar thermal Hall effect from phonons in a Kitaev candidate material
• Localised zero-energy modes in the Kitaev model with vacancy-disorder
• Mechanism for subgap optical conductivity in honeycomb Kitaev materials
• Sizeable suppression of thermal Hall effect upon isotopic substitution in strontium titanate
• Quantum spin liquids and the metal-insulator transition in doped semiconductors
• Discovery of Emergent Photon and Monopoles in a Quantum Spin Liquid
• Possible Intermediate Quantum Spin Liquid Phase in $\alpha$-RuCl${}_3$ under High Magnetic Fields up to 100 T
• Non-local spin correlation as a signature of Ising anyons trapped in vacancies of the Kitaev spin liquid
• Evidence for the first-order topological phase transition in a Kitaev spin liquid candidate $\alpha$-RuCl${}_3$
• Vestiges of Topological Phase Transitions in Kitaev Quantum Spin Liquids
• Temperature evolution of the phonon dynamics in the Kitaev spin liquid
• Quantum Spin Ice Response to a Magnetic Field in the Dipole-Octupole Pyrochlore Ce${}_2$Zr${}_2$O${}_7$
• Self-selecting vapor growth of transition metal halide single crystals
• Unpaired Majorana modes in the gapped phase of Kitaev's honeycomb model
• Honeycomb rare-earth magnets with anisotropic exchange interactions
• Spectroscopic signatures of fractionalization in octupolar quantum spin ice
• Dynamical properties of Néel and valence-bond phases in the $J_1-J_2$ model on the honeycomb lattice
• Dynamical anyon generation in Kitaev honeycomb non-Abelian spin liquids
• Phononic-magnetic dichotomy of the thermal Hall effect in the Kitaev-Heisenberg candidate material Na${}_2$Co${}_2$TeO${}_6$
• Emergent orbital magnetization in Kitaev quantum magnets
• Defect-Induced Low-Energy Majorana Excitations in the Kitaev Magnet $\alpha$-RuCl${}_3$
• Tunneling spectroscopic signatures of charge doping and associated Mott transition in $\alpha$-RuCl${}_3$ in proximity to graphite
• Quantum critical Bose gas in the two-dimensional limit in the honeycomb antiferromagnet YbCl${}_3$ under magnetic fields
• Extent of frustration in the classical Kitaev-$\Gamma$ model via bond anisotropy
• Field stability of Majorana spin liquids in antiferromagnetic Kitaev models
• Berry Phases of Vison Transport in ${\mathbb{Z}}_2$ Topologically Ordered States from Exact Fermion-Flux Lattice Dualities
• SmI3: 4f5 honeycomb magnet with spin-orbital entangled Γ7 Kramers doublet
• Disorder effects in the Kitaev-Heisenberg model
• Two-step growth of high-quality single crystals of the Kitaev magnet $\alpha$-RuCl${}_3$
• Topological Nematic Phase Transition in Kitaev Magnets Under Applied Magnetic Fields
• CaCo${}_2$TeO${}_6$: A topochemically prepared 3$d^7$ honeycomb Kitaev magnet
• Emergent photons and fractionalized excitations in a quantum spin liquid
• Thermal Hall conductivity of $\alpha$-RuCl${}_3$
• Magnetothermal transport in ultraclean single crystals of Kitaev magnet $\alpha$-RuCl${}_3$
• Thermodynamics and heat transport of quantum spin liquid candidates NaYbS${}_2$ and NaYbSe${}_2$
• Growth of self-integrated atomic quantum wires and junctions of a Mott semiconductor
• Field-Angle-Resolved Specific Heat in Na${}_2$Co${}_2$TeO${}_6$: Evidence against Kitaev Quantum Spin Liquid
• Exploring rare-earth Kitaev magnets by massive-scale computational analysis
• Insulator-to-metal Mott transition facilitated by lattice deformation in monolayer $\alpha$-RuCl${}_3$ on graphite
• Giant anisotropic magnetoresistance in few-layer α-RuCl3 tunnel junctions
• Theory of quasiparticle interference in Kitaev quantum spin liquids
• Phonon thermal Hall as a lattice Aharonov-Bohm effect
• Dilution of the magnetic lattice in the Kitaev candidate $\alpha$-RuCl${}_3$ by Rh${}^{3+}$ doping
• Intermediate phases in $\alpha$-RuCl${}_3$ under in-plane magnetic field via interlayer spin interactions
• Bulk excitations in ultraclean $\alpha$-RuCl${}_3$: Quantitative evidence for Majorana dispersions in a Kitaev quantum spin liquid

Cited by in corpus (17)

• Kitaev model in regular hyperbolic tilings
• Half-integer thermal conductance in the absence of Majorana mode
• Mott Gap Softening Coinciding with Spin Correlations Collapse in a-RuCl3
• Quantum spin models of commensurate $p$-wave magnets
• Searching for superconductivity in doped triangular lattice Kitaev magnets
• Angular-Dependent Thermal Hall Effect in a Honeycomb Magnet: Disentangling Kitaev and Dzyaloshinskii-Moriya Interactions
• Dynamical spin correlations in kagome antiferromagnets: comparison of Abrikosov fermion and Schwinger boson approaches beyond mean field
• Ferrichiral skyrmions with sublattice-resolved chirality in extended Kitaev model in triangular lattice
• Majorana Signatures in Planar Tunneling through a Kitaev Spin Liquid
• Phaseless auxiliary-field quantum Monte Carlo method with spin-orbit coupling
• Dynamical Response of the Kitaev Spin Liquid under Third-Nearest-Neighbor Heisenberg Interaction
• Emergent Symmetry-Protected Topological Phases via Polyakov Confinement in Quantum Spin Systems
• Ground State Properties of the Doped Kitaev-Heisenberg Chain: Topological Superconducting and Mott Insulating Phases Driven by Magnetic Frustration
• An integrated theoretical and numerical approach to understand modern experiments on quantum magnetism
• Anomalies in the thermal conductivity of honeycomb antiferromagnet MnPS${}_3$
• Tuning the Chern number of Kitaev quantum spin liquid
• Thermal and quantum fluctuations in extended Kitaev-Yao-Lee spin-orbital model