Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid

Abstract

The quantum Hall effect (QHE) in two-dimensional (2D) electron gases, which is one of the most striking phenomena in condensed matter physics, involves the topologically protected dissipationless charge current flow along the edges of the sample. Integer or fractional electrical conductance are measured in units of $e^2/2\pi \hslash$, which is associated with edge currents of electrons or quasiparticles with fractional charges, respectively. Here we discover a novel type of quantization of the Hall effect in an insulating 2D quantum magnet. In $\alpha$-RuCl${}_3$ with dominant Kitaev interaction on 2D honeycomb lattice, the application of a parallel magnetic field destroys the long-range magnetic order, leading to a field-induced quantum spin liquid (QSL) ground state with massive entanglement of local spins. In the low-temperature regime of the QSL state, we report that the 2D thermal Hall conductance ${\kappa }_{xy}^{2D}$ reaches a quantum plateau as a function of applied magnetic field. ${\kappa }_{xy}^{2D}/T$ attains a quantization value of $(\pi /12)(k_B^2/\hslash )$, which is exactly half of ${\kappa }_{xy}^{2D}/T$ in the integer QHE. This half-integer thermal Hall conductance observed in a bulk material is a direct signature of topologically protected chiral edge currents of charge neutral Majorana fermions, particles that are their own antiparticles, which possess half degrees of freedom of conventional fermions. These signatures demonstrate the fractionalization of spins into itinerant Majorana fermions and $Z_2$ fluxes predicted in a Kitaev QSL. Above a critical magnetic field, the quantization disappears and ${\kappa }_{xy}^{2D}/T$ goes to zero rapidly, indicating a topological quantum phase transition between the states with and without chiral Majorana edge modes. Emergent Majorana fermions in a quantum magnet are expected to have a major impact on strongly correlated topological quantum matter.

arXiv comment7 pages, 8 figures. Submitted version

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• Testing Ising Topological Order in $\alpha$-RuCl${}_3$ Under In-Plane Magnetic Fields
• Nearly-Resonant Crystalline-Phononic Coupling in Quantum Spin Liquid Candidate CsYbSe${}_2$
• Probing quantum spin liquids in equilibrium using the inverse spin Hall effect
• Field-induced phase transitions and quantum criticality in a honeycomb antiferromagnet Na3Co2SbO6
• Heat-mode excitation in a proximity superconductor
• Fermionic approach to variational quantum simulation of Kitaev spin models
• Low temperature enhancement of ferromagnetic Kitaev correlations in α-RuCl3
• Hydrated lithium intercalation into the Kitaev spin liquid candidate material $\alpha -$RuCl${}_3$
• Anisotropic magnetic excitations from single-chirality antiferromagnetic state in Ca-kapellasite
• Spin liquid in twisted homobilayers group-VI gichalcogenides
• Phonon thermal Hall effect in charge-compensated topological insulators
• Quarter-quantized thermal Hall effect with parity anomaly
• Phonon thermal Hall effect in Mott insulators via skew-scattering by the scalar spin chirality
• Fractionalization Signatures in the Dynamics of Quantum Spin Liquids
• Magnetism in Kitaev Quantum Spin Liquid Candidate RuBr${}_3$
• Mechanism of carrier doping induced magnetic phase transitions in two-dimensional materials
• Diagonal and off-diagonal thermal conduction with resonant phonon scattering in $N{i}_{3}Te{O}_6$
• Symmetry analysis of bond-alternating Kitaev spin chains and ladders
• Acoustic phonon dispersion of $\alpha$-RuCl${}_3$
• Oscillations of the thermal conductivity observed in the spin-liquid state of $\alpha$-RuCl${}_3$
• Spin wave theory of one-dimensional generalized Kitaev model
• Proximate Kitaev system for an intermediate magnetic phase in in-plane magnetic fields
• Symmetry-protected gapless spin liquids on the strained honeycomb lattice
• Seeing beyond the light: Vison and photon electrodynamics in quantum spin ice
• Topologically distinct atomic insulators
• Determining non-Abelian topological order from infinite projected entangled pair states
• Spin excitation continuum to topological magnon crossover and thermal Hall conductivity in Kitaev magnets
• Phases and Quantum Phase Transitions in an Anisotropic Ferromagnetic Kitaev-Heisenberg-$\Gamma$ Magnet
• Dissipationless Spin Current Generation in Kitaev's Chiral Spin Liquid
• Two-step growth of high-quality single crystals of the Kitaev magnet $\alpha$-RuCl${}_3$
• Neutron spectroscopy evidence for a possible magnetic-field-induced gapless quantum-spin-liquid phase in a Kitaev material $\alpha$-RuCl${}_3$
• Effective model for Majorana modes in graphene
• Topological Nematic Phase Transition in Kitaev Magnets Under Applied Magnetic Fields
• Majorana chiral spin liquid in Mott insulating cuprates
• Reentrant incommensurate order and anomalous magnetic torque in the Kitaev magnet $\beta$-${\text{Li}}_2{\text{IrO}}_3$
• Single-crystal study of the honeycomb XXZ magnet BaCo${}_2$(PO${}_4$)${}_2$ in magnetic fields
• Detection of long-range entanglement in gapped quantum spin liquids by local measurements
• Strong uniaxial pressure dependencies evidencing spin-lattice coupling and spin fluctuations in Cr${}_2$Ge${}_2$Te${}_6$
• Unconventional magnetic field response of the hyperhoneycomb Kitaev magnet $\beta -{\text{Li}}_2{\text{IrO}}_3$
• Ultrafast Spin Dynamics and Photoinduced Insulator-to-Metal Transition in $\alpha$-$RuC{l}_3$
• Light-induced magnetization driven by interorbital charge motion in a spin-orbit assisted Mott insulator alpha-RuCl3
• Optical magnons with dominant bond-directional exchange interactions in a honeycomb lattice iridate $\alpha$-Li${}_2$IrO${}_3$
• Contrasting electronic states of RuI3 and RuCl3
• Phase diagrams of spin-$S$ Kitaev ladders
• Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors
• Constraining the Parameter Space of a Quantum Spin Liquid Candidate in Applied Field with Iterative Optimization
• Evidences for the random singlet phase in a new honeycomb iridate SrIr${}_2$O${}_{6-\delta }$
• Symmetry Analysis of Tensors in the Honeycomb Lattice of Edge-Sharing Octahedra
• Signatures for spinons in the quantum spin liquid candidate Ca${}_{10}$Cr${}_7$O${}_{28}$
• Charge-Neutral Electronic Excitations in Quantum Insulators
• Hidden spin-orbital order in the Kitaev hyperhoneycomb $\beta$-Li${}_2$IrO${}_3$
• Thermal Hall response: violation of gravitational analogues and Einstein relations
• Peering into the darkness: vison-generated photon mass in quantum spin ice
• Scattering phenomena for spin transport in Kitaev spin liquid
• Symmetry-protected topological magnons in three dimensional Kitaev materials
• Quantum paramagnetism in the hyperhoneycomb Kitaev magnet $\beta$-ZnIrO${}_3$
• Oriented propagation of magnetization due to chiral edge modes in Kitaev-type models
• CaCo${}_2$TeO${}_6$: A topochemically prepared 3$d^7$ honeycomb Kitaev magnet
• Thermodynamic evidence for field-angle dependent Majorana gap in a Kitaev spin liquid
• Thermal interferometry of anyons
• Phonon Dynamics in the Generalized Kitaev Spin Liquid
• Thermal Hall conductivity of $\alpha$-RuCl${}_3$
• Weak-coupling to strong-coupling quantum criticality crossover in a Kitaev quantum spin liquid $\alpha$-RuCl${}_3$
• Planar thermal Hall effect from phonons in cuprates
• Material-based analysis of spin-orbital Mott insulators
• Islands of Chiral Solitons in Integer Spin Kitaev Chains
• Measuring Topological Order
• Exchange striction induced thermal Hall effect in van der Waals antiferromagnet MnPS${}_3$
• $J=1/2$ Pseudospins and $d$-$p$ Hybridization in the Kitaev Spin Liquid Candidates Ru$X_3$ ($X$ = Cl, Br, I)
• Asymmetric modulation of Majorana excitation spectra and nonreciprocal thermal transport in the Kitaev spin liquid under a staggered magnetic field
• Magnetic-field Induced Topological Transitions and Thermal Conductivity in a Generalized Kitaev Model
• Dynamics of fractionalized mean-field theories: consequences for Kitaev materials
• Realization and detection of Kitaev quantum spin liquid with Rydberg atoms
• Growth of self-integrated atomic quantum wires and junctions of a Mott semiconductor
• 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${}_6$
• Short-range order and hidden energy scale in geometrically frustrated magnets
• Competition between magnetic order and charge localization in Na${}_2$IrO${}_3$ thin crystal devices
• Magnetothermal transport in ultraclean single crystals of Kitaev magnet $\alpha$-RuCl${}_3$
• Parafermions in Hierarchical Fractional Quantum Hall States
• 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
• Origin of nonsymmorphic bosonization formulas in generalized antiferromagnetic Kitaev spin-$\frac{1}{2}$ chains from a renormalization-group perspective
• Thermally enhanced Majorana-mediated spin transport in the Kitaev model
• Quantum dimer model containing Rokhsar-Kivelson point expressed by spin-1/2 Heisenberg antiferromagnets
• Excess equilibrium noise in topological SNS junction between chiral Majorana liquids
• Confinement transition in a Kitaev-like honeycomb model with bond anisotropy
• Suppression of the antiferromagnetic order by Zn doping in a possible Kitaev material Na${}_2$Co${}_2$TeO${}_6$
• Electrical and thermal transport properties of kagome metals AV${}_3$Sb${}_5$ (A=K, Rb, Cs)
• Network construction of non-Abelian chiral spin liquids
• Spin Transport in Quantum Spin-Orbital Liquids
• Anyon condensation and confinement transition in a Kitaev spin liquid bilayer
• Correlation effects on the magnetization process of the Kitaev model
• Topological phase diagrams of in-plane field polarized Kitaev magnets
• Raman fingerprints of fractionalized Majorana excitations in honeycomb iridate Ag${}_3$LiIr${}_2$O${}_6$
• Gauged fermionic matrix quantum mechanics
• Field-Angle-Resolved Specific Heat in Na${}_2$Co${}_2$TeO${}_6$: Evidence against Kitaev Quantum Spin Liquid
• Quantum phase transition between spin liquid and spin nematics in spin-1 Kitaev honeycomb model
• Resonating valence bond realization of spin-1 non-Abelian chiral spin liquid on the torus
• 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
• Topological phases of higher Chern numbers in Kitaev-Heisenberg ferromagnet with further-neighbor interactions
• Interplay of magnetic field and trigonal distortion in the honeycomb $\Gamma$ model: Occurrence of a spin-flop phase
• Generalizations of Kitaev's honeycomb model from braided fusion categories
• Extended Quantum Spin Liquid with Spinon-like Excitations in an Anisotropic Kitaev-Gamma Model
• Molecular Orbital Electronic Instability in the van der Waals Kagome Semiconductor Nb${}_3$Cl${}_8$: Exploring Future Directions
• Anomalous thermal relaxation and pump-probe spectroscopy of 2D topologically ordered systems
• Numerical simulation of non-abelian anyons
• Probing critical spin fluctuations with a composite magnetoelectric method: A case study on a Kitaev spin liquid candidate Na${}_3$Co${}_2$SbO${}_6$
• Partial flux ordering and thermal Majorana metals in (higher-order) spin liquids
• Topological phase transition and nontrivial thermal Hall signatures in honeycomb lattice magnets
• Magnetic field and thermal Hall effect in a pyrochlore U(1) quantum spin liquid
• Converting electrons into emergent fermions at a superconductor-Kitaev spin liquid interface
• Engineering the Kitaev spin liquid in a quantum dot system
• Field-driven spatiotemporal manipulation of Majorana zero modes in a Kitaev spin liquid
• Kitaev quasiparticles in a proximate spin liquid: A many-body localization perspective
• Topological phase transitions and thermal Hall effect in a noncollinear spin texture
• Dimer Crystallization Induced by Elemental Substitution in the Honeycomb Lattice of Ru1-xOsxCl3
• Chiral phonons in binary compounds $A$Bi ($A$ = K, Rb, Cs) with P2${}_1$/c structure
• Gapless excitations in non-Abelian Kitaev spin liquids with line defects
• Electric probe for the toric code phase in Kitaev materials through the hyperfine interaction
• Interedge spin resonance in the Kitaev quantum spin liquid
• Interplay between multi-spin and chiral spin interactions on triangular lattice
• Kinetic Ferromagnetism and Topological Magnons of the Hole-Doped Kitaev Spin Liquid
• Electric field control of a quantum spin liquid in weak Mott insulators
• Spin Seebeck Effect as a Probe for Majorana Fermions in Kitaev Spin Liquids
• Chiral spin state and nematic ferromagnet in the spin-1 Kitaev-$\Gamma$ model
• Quantum-classical crossover in the spin-1/2 Heisenberg-Kitaev kagome magnet
• Multinode quantum spin liquids in extended Kitaev honeycomb models: the view from variational Monte Carlo
• Anisotropic magnetic interactions in a candidate Kitaev spin liquid close to a metal-insulator transition
• Quantum spin liquid from electron-phonon coupling
• Competition between Kondo and Kitaev Physics in Kitaev clusters coupled to a fermionic bath
• High Chern numbers and topological flat bands in high-field polarized Kitaev magnets on the star lattice
• Trimer classical spin liquid from interacting fractional charges
• Bulk thermal transport coefficients in a quantum Hall system and the fundamental difference between thermal and charge response
• Valence bond fluctuations in the Kitaev spin model
• Continuous transition between Ising magnetic order and a chiral spin liquid
• Crystalline Splitting of $d$ Orbitals in Regular Optical Lattices
• Local Raman Spectroscopy of Chiral Majorana Edge Modes in Kitaev Spin Liquids and Topological Superconductors
• Chiral spin liquid in a ${\mathbb{Z}}_3$ Kitaev model
• Thermodynamics of the dipole-octupole pyrochlore magnet Ce${}_2$Hf${}_2$O${}_7$ in applied magnetic fields
• Emergent SU(2)${}_1$ conformal symmetry in the spin-1/2 Kitaev-Gamma chain with a Dzyaloshinskii-Moriya interaction
• Machine learning reveals features of spinon Fermi surface
• Simultaneous measurement of specific heat and thermal conductivity in pulsed magnetic fields
• Probing emergent QED in quantum spin ice via Raman scattering of phonons: shallow inelastic scattering and pair production
• Torsion, energy magnetization and thermal Hall effect
• Efficient Method for Prediction of Meta-stable/Ground Multipolar Ordered States and its Application in Monolayer $\alpha$-\ce{RuX3} (X=Cl,I)
• Dynamic structure factor of the antiferromagnetic Kitaev model in large magnetic fields
• Angle-dependent planar thermal Hall effect by quasi-ballistic phonons in black phosphorus
• Pressure-induced transition from Jeff=1/2 to S=1/2 states in CuAl2O4
• Nonsymmorphic bosonization in one-dimensional generalized Kitaev spin-1/2 models
• Successive topological phase transitions in two distinct spin-flop phases on the honeycomb lattice
• Large Oscillatory Thermal Hall Effect in Kagome Metals
• Gauge Field Dynamics in Multilayer Kitaev Spin Liquids
• High-temperature magnetic anomaly via suppression of antisite disorder through synthesis route modification in a Kitaev candidate Cu${}_2$IrO${}_3$
• Drag resistance mediated by quantum spin liquids
• 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
• Unified approach to electrical and thermal transport in high-$T_c$ superconductors
• Systematic construction of topological-nontopological hybrid universal quantum gates based on many-body Majorana fermion interactions
• Some experimental schemes to identify quantum spin liquids
• Nonequilibrium dynamics of $\alpha$-RuCl${}_3$ -- a time-resolved magneto-optical spectroscopy study
• Thermodynamic signature of the $\mathrm{SU}(4)$ spin-orbital liquid and symmetry fractionalization from the Lieb-Schultz-Mattis theorem
• Coexistence of Chiral Majorana Edge States and Bogoliubov Fermi Surfaces in Two-Dimensional Nonsymmorphic Dirac Semimetal/Superconductor Heterostructures
• Phonon Dynamics in the Chiral Kitaev Spin Liquid
• Theory of quasiparticle interference in Kitaev quantum spin liquids
• 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
• Chiral excitations and the intermediate-field spin-liquid regime in the Kitaev magnet $\alpha$-RuCl${}_3$
• Ultrafast spin dynamics in the proximate quantum spin liquid α-RuCl3
• Resonant Inelastic X-ray Scattering from Electronic Excitations in $\alpha$-RuCl${}_3$ Nanolayers
• Quasiparticle metamorphosis in the random t-J model
• Emergent Hyper-Magic Manifold in Twisted Kitaev Bilayers
• Phase diagram and thermal Hall conductivity of spin-liquid Kekulé-Kitaev model
• Universal excitonic superexchange in spin-orbit-coupled Mott insulators
• Experimentally Motivated Order of Length Scales Affect Shot Noise
• Chiral bosonic quantum spin liquid in the integer-spin Heisenberg-Kitaev model
• Sound attenuation in the hyperhoneycomb Kitaev spin liquid
• Spin-orbit entangled moments and magnetic exchange interactions in cobalt-based honeycomb magnets BaCo${}_2$($X$O${}_4$)${}_2$ ($X$ = P, As, Sb)
• Quantum Thermal Hall effect of chiral spinons on a Kagome strip
• Signatures of a gapless quantum spin liquid in the Kitaev material Na${}_3$Co${}_{2-x}$Zn${}_x$SbO${}_6$
• Quantized electrical, thermal, and spin transports of non-Hermitian clean and dirty two-dimensional topological insulators and superconductors
• Magnetostriction of α-RuCl3 flakes in the zigzag phase
• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
• The Future of the Correlated Electron Problem
• Multipolar spin liquid in an exactly solvable model for $j_{\mathrm{eff}}=\frac{3}{2}$ moments
• Topological Aspects of Matters and Langlands Program
• Dilution of the magnetic lattice in the Kitaev candidate $\alpha$-RuCl${}_3$ by Rh${}^{3+}$ doping
• High-field quantum spin liquid transitions and angle-field phase diagram of Kitaev magnet $\alpha$-RuCl${}_3$
• Quantized thermal and spin transports of dirty planar topological superconductors
• Gapless state of interacting Majorana fermions in a strain-induced Landau level
• Quantized thermal Hall conductance from edge current calculations in lattice models
• Heat conduction in magnetic insulators via hybridization of acoustic phonons and spin-flip excitations
• Anisotropic in-plane heat transport of Kitaev magnet Na${}_2$Co${}_2$TeO${}_6$
• Schwinger-Keldysh non-perturbative field theory of open quantum systems beyond the Markovian regime: Application to spin-boson and spin-chain-boson models
• Bi${}_2$Se${}_3$ thin films heteroepitaxially grown on $\alpha$-RuCl${}_3$
• Magnetic field induced partially polarized chiral spin liquid in a transition metal dichalcogenide moiré system
• Nonreciprocal heat transport in the Kitaev chiral spin liquid
• Anyon polarons as a window into competing phases of the Kitaev honeycomb model under a Zeeman field
• Thermal Hall response of an abelian chiral spin liquid at finite temperatures
• Static and dynamical magnetic properties of the extended Kitaev-Heisenberg model with spin vacancies
• Field-Induced Ordered Phases in Anisotropic Spin-1/2 Kitaev Chains
• Probing Green's Function Zeros by Co-tunneling through Mott Insulators
• Microwave response of a chiral Majorana interferometer
• Quantum Spin Liquid phases in Kitaev Materials
• Antiferromagnetic Spin Fluctuations and Structural Transition in Cluster Mott Insulator Candidate Nb3Cl8 Revealed by 93Nb- and 35Cl-NMR
• Intermediate phases in $\alpha$-RuCl${}_3$ under in-plane magnetic field via interlayer spin interactions
• Approximate half-integer quantization in anomalous planar transport in $d$-wave altermagnets
• Thermodynamics of Statistical Anyons
• Finite-momentum energy dynamics in a Kitaev magnet
• Bulk excitations in ultraclean $\alpha$-RuCl${}_3$: Quantitative evidence for Majorana dispersions in a Kitaev quantum spin liquid
• Interface engineering of van der Waals heterostructures towards energy-efficient quantum devices operating at high temperatures
• Controlling the RKKY interaction and heat transport in a Kitaev spin liquid via $Z_2$ flux walls
• Contrasting magnetothermal conductivity in sibling Co-based honeycomb-lattice antiferromagnets
• Evidence for distortion-induced local electric polarization in $\alpha$-RuCl${}_3$
• Exact Ground States and Phase Diagram of the Quantum Compass Model under an in-plane Field
• Possible Realization of Kitaev Spin Liquids in van der Waals Heterostructures of $\alpha$-RuCl${}_3$ and Cr$X_3$ ($X$=Cl and I)
• Upper branch thermal Hall effect in quantum paramagnets
• Disorder-induced topological superconductivity in a spherical quantum-Hall--superconductor hybrid
• Eleven Competing Phases in the Heisenberg-Gamma (J$\Gamma$) Ladder
• Thermal Hall conductivity of semimetallic graphite dominated by ambipolar phonon drag
• Simulating exotic phases of matter with bond-directed interactions with arrays of Majorana-Cooper pair boxes
• Thermal decomposition of the Kitaev material $\alpha$-RuCl${}_3$ and its influence on low-temperature behavior
• Confinement, reduced entanglement, and spin-glass order in a random quantum spin-ice model
• A primer on Kitaev Model: Basic aspects, material realization, and recent experiments
• Mixed-State Quantum Spin Liquids and Dynamical Anyon Condensations in Kitaev Lindbladians
• Sample Shape and Boundary Dependence of Measured Transverse Thermal Properties
• Berezinskii-Kosterlitz-Thouless transitions in a topological superconductor-ferromagnet-superconductor junction
• Vacancies in generic Kitaev spin liquids
• Quantized heat flow in graphene quantum Hall phases: Probing the topological order
• Assembling Kitaev honeycomb spin liquids from arrays of 1D symmetry protected topological phases
• Direct evidence for anisotropic magnetic interaction in $\alpha$-RuCl${}_3$ from polarized inelastic neutron scattering
• Thermal Conductivity of Square Ice
• Twisted-Boundary-Condition Formalism for Thermal Transport and an Application to the One-Dimensional XY Spin Chain
• Real-time control of non-Abelian anyons in Kitaev spin liquid under energy dissipation
• Low-temperature specific heat and heat transport of Tb${}_2$Ti${}_{2-x}$Zr${}_x$O${}_7$ single crystals
• Divergent phonon angular momentum driven by temperature and strain
• Coupled spin-1/2 antiferromagnetic chain Cs${}_2$LiRuCl${}_6$ with partially disordered crystal lattice
• Pulsed Neutron Spectroscopy of Low Dimensional Magnets: Past, Present, and Future
• Designing ${\mathbb{Z}}_2$ and ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ topological orders in networks of Majorana bound states
• Anomalous Proximitized Transport in Metal/Quantum Magnet Heterostructure $\mathrm{B}{\mathrm{i}}_2\mathrm{I}{\mathrm{r}}_2{\mathrm{O}}_7/Y{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Field tuning Kitaev systems for spin fractionalization and topological order
• Superconductivity in doped planar Dirac insulators: A renormalization group study
• Majorana Gap Formation in the Anisotropic Kitaev Model with Ordered Flux Configuration
• A quantum Monte Carlo method on asymptotic Lefschetz thimbles for quantum spin systems: An application to the Kitaev model in a magnetic field
• Formulation of spin Nernst effect for spin-nonconserving insulating magnets
• Giant quantum oscillations in thermal transport in low-density metals via electron absorption of phonons
• Electric polarization near vortices in the extended Kitaev model
• Extrinsic contribution to bosonic thermal Hall transport
• Electronic transport mechanisms in a thin crystal of the Kitaev candidate $\alpha$-RuCl${}_3$ probed through guarded high impedance measurements
• Itinerant and topological excitations in a honeycomb spiral spin liquid candidate
• Topological Characterization of Kitaev Spin Nanoribbons with Ordered Flux Configurations
• Phase diagram of the Kitaev-Hubbard model: ${\mathbb{Z}}_2$ slave-spin and QMC approaches
• Antichiral edge states and Bogoliubov Fermi surfaces in a two-dimensional proximity-induced superconductor
• Pairing around a Single Dirac Point: A Unifying View of Kohn-Luttinger Superconductivity in Chern Bands, Quarter Metals, and Topological Surface States
• Robustness of Vacancy-Bound Non-Abelian Anyons in the Kitaev Model in a Magnetic Field
• Variational methods for characterizing matrix product operator symmetries
• Order-by-disorder from Schwinger bosons in a frustrated honeycomb ferromagnet
• Phonon Thermal Hall Effect: The Roles of Disorder, Annealing, and Metallic Contacts
• Kitaev interactions in the van der Waals antiferromagnet VBr3
• Spin caloritronics: History and future prospects of experiments
• Photoinduced Pseudospin Polarization in a Three-Orbital Hubbard Model
• Angular-Dependent Thermal Hall Effect in a Honeycomb Magnet: Disentangling Kitaev and Dzyaloshinskii-Moriya Interactions
• Antiferromagnetic Order and Magnetic Frustration in the Honeycomb Heavy-Fermion System Ce(Pt${}_{1-x}$Pd${}_x$)${}_6$Al${}_3$: ${}^{27}$Al and ${}^{195}$Pt NMR Studies
• Field-Angle Dependence of Phonon Thermal Hall Effect in Na2X2TeO6 (X = Co, Zn)
• Thermodynamic behavior of modified integer-spin Kitaev models on the honeycomb lattice
• Strain-induced Landau levels of Majorana fermions in an anisotropically interacting Kitaev model on a honeycomb lattice
• Dc Electrical Current Generated by Upstream Neutral Modes
• Static and Dynamical Spin Correlations in the Kitaev Model at Finite Temperatures via Green's Function Equation of Motion
• Coupling of acoustic phonon to a spin-orbit entangled pseudospin
• Raman spectroscopy of anyons in generic Kitaev spin liquids
• The Kekulé-Kitaev model: linear and non-linear responses and magnetic field effects
• Transport in honeycomb lattice with random $\pi$-fluxes: implications for low-temperature thermal transport in the Kitaev spin liquids
• Ultra spin liquid in $\mathrm{L}{\mathrm{u}}_3\mathrm{C}{\mathrm{u}}_2\mathrm{S}{\mathrm{b}}_3{\mathrm{O}}_{14}$
• Field-induced phase transitions in the Kitaev-Heisenberg model: A sign-problem-free quantum Monte Carlo study and possible application to $\alpha$-RuCl3
• Magnetic ordering in the $J_{\mathrm{eff}}$ = 0 Nickelate NiRh${}_2$O${}_4$ prepared via a solid-state metathesis
• Scaling behavior and giant field-enhancement of the thermal conductivity in the honeycomb antiferromagnet BaCo2(AsO4)2
• Bond disorder in extended Heisenberg-Kitaev models: Spin textures and in-gap states in the high-field regime
• Spin-phonon coupling and thermal Hall effect in the Kitaev model
• Signatures of Floquet Engineering in the proximal Kitaev Quantum Spin Liquid H${}_3$LiIr${}_2$O${}_6$ by tr-RIXS
• Vortex creation and control in the Kitaev spin liquid by local bond modulations
• Stability of ordered and disordered phases in the Heisenberg-Kitaev model in a magnetic field
• Non-Loudon-Fleury Raman scattering in spin-orbit coupled Mott insulators
• Real-space chirality from crystalline topological defects in the Kitaev spin liquid
• Ground state of the staggered Heisenberg-$\Gamma$ honeycomb model in a magnetic field
• Nesting instability of gapless U(1) spin liquids with spinon Fermi pockets in two dimensions
• Collapse of susceptibility and non-trivial spin dynamics in the hyper-honeycomb magnet $\beta$-Li${}_2$IrO${}_3$ under high pressure
• Honeycomb lattice iridate on the verge of Mott-collapse
• Disorder, Low-Energy Excitations, and Topology in the Kitaev Spin Liquid
• Spin-orbit coupling controlled two-dimensional magnetism in chromium trihalides
• Dominant Kitaev Interaction and Field-induced Quantum Disordered Phase in the Cobaltate Na${}_2$Co${}_2$TeO${}_6$
• Cooper-pair splitters as circuit elements for realizing topological superconductors
• Spin sensitive transport in RuCl_3/Pt heterostructures: revealing a field-transverse spin anisotropy in a spin liquid candidate
• Emergent spacetime supersymmetry at 2D fractionalized quantum criticality
• Time-domain anyon interferometry in Kitaev honeycomb spin liquids and beyond
• The construction of a universal quantum gate set for the SU(2)k (k=5,6,7) anyon models via genetic optimized algorithm
• Bose-Einstein condensations of magnons in quantum magnets with spin-orbit coupling in a Zeeman field
• The field-angle anisotropy of proximate Kitaev systems under an in-plane magnetic field
• Tuning the Chern number of Kitaev quantum spin liquid
• Dynamical Response of the Kitaev Spin Liquid under Third-Nearest-Neighbor Heisenberg Interaction
• Anomalies in the thermal conductivity of honeycomb antiferromagnet MnPS${}_3$