Dynamics of a two-dimensional quantum spin liquid: signatures of emergent Majorana fermions and fluxes

Abstract

Topological states of matter present a wide variety of striking new phenomena. Prominent among these is the fractionalisation of electrons into unusual particles: Majorana fermions [1], Laughlin quasiparticles [2] or magnetic monopoles [3]. Their detection, however, is fundamentally complicated by the lack of any local order, such as, for example, the magnetisation in a ferromagnet. While there are now several instances of candidate topological spin liquids [4], their identification remains challenging [5]. Here, we provide a complete and exact theoretical study of the dynamical structure factor of a two-dimensional quantum spin liquid in gapless and gapped phases. We show that there are direct signatures - qualitative and quantitative - of the Majorana fermions and gauge fluxes emerging in Kitaev's honeycomb model. These include counterintuitive manifestations of quantum number fractionalisation, such as a neutron scattering response with a gap even in the presence of gapless excitations, and a sharp component despite the fractionalisation of electron spin. Our analysis identifies new varieties of the venerable X-ray edge problem and explores connections to the physics of quantum quenches.

7 pages, 3 figures

References in corpus (5)

• Non-Abelian Anyons and Topological Quantum Computation
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Fractionalized excitations in the spin liquid state of a kagomé lattice antiferromagnet
• Exact results for spin dynamics and fractionization in the Kitaev Model
• Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain

Cited by in corpus (261)

• Quantum Spin Liquids
• Quantum Spin Liquids
• Proximate Kitaev Quantum Spin Liquid Behaviour in α-RuCl${}_3$
• Kitaev quantum spin liquid - concept and materialization
• Neutron tomography of magnetic Majorana fermions in a proximate quantum spin liquid
• Models and Materials for Generalized Kitaev Magnetism
• A Field Guide to Spin Liquids
• Crystal and Magnetic Structures in Layered, Transition Metal Dihalides and Trihalides
• Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
• Low-temperature crystal and magnetic structure of $\alpha$-RuCl3
• Excitations in the field-induced quantum spin liquid state of alpha-RuCl3
• Fermionic response from fractionalization in an insulating two-dimensional magnet
• Spin-orbit excitation energies, anisotropic exchange, and magnetic phases of honeycomb RuCl3
• Breakdown of Magnons in a Strongly Spin-Orbital Coupled Magnet
• Hunting Majorana Fermions in Kitaev Magnets
• Thermal fractionalization of quantum spins in a Kitaev model: $T$-linear specific heat and coherent transport of Majorana fermions
• 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${}_3$
• Large field-induced gap of Kitaev-Heisenberg paramagnons in $\alpha$-RuCl${}_3$
• Magnetic Excitations and Continuum of a Field-Induced Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• Emergence of a Field-Driven U(1) Spin Liquid in the Kitaev Honeycomb Model
• Recent progress on correlated electron systems with strong spin-orbit coupling
• Raman Scattering Signatures of Kitaev Spin Liquids in A${}_2$ IrO${}_3$ Iridates
• Dynamics of Fractionalization in Quantum Spin Liquids
• Unconventional magnetic order on the hyperhoneycomb Kitaev lattice in $\beta$-Li2IrO3: full solution via magnetic resonant x-ray diffraction
• Probing $\alpha$-RuCl${}_3$ Beyond Magnetic Order: Effects of Temperature and Magnetic Field
• Dynamics of the Kitaev-Heisenberg Model
• Observation of two types of anyons in the Kitaev honeycomb magnet
• Thermal Transport in the Kitaev Model
• Relation between Kitaev magnetism and structure in $\alpha$-RuCl${}_3$
• Quantum spin liquid signatures in Kitaev-like frustrated magnets
• Finite field regime for a quantum spin liquid in $\alpha$-RuCl${}_3$
• Low-energy Spin Dynamics of the Honeycomb Spin Liquid Beyond the Kitaev Limit
• Dynamical and Topological Properties of the Kitaev Model in a [111] Magnetic Field
• Heisenberg-Kitaev physics in magnetic fields
• Fractional Spin Fluctuation as a Precursor of Quantum Spin Liquids: Majorana Dynamical Mean-Field Study for the Kitaev Model
• Raman spectroscopic signature of fractionalized excitations in the harmonic-honeycomb iridates $\beta$- and $\gamma$-Li${}_2$IrO${}_3$
• Clues and criteria for designing Kitaev spin liquid revealed by thermal and spin excitations of honeycomb iridates Na${}_2$IrO${}_3$
• Antiferromagnetic resonance and terahertz continuum in $\alpha -$RuCl${}_3$
• Dynamical structure factor of the $J_1-J_2$ Heisenberg model on the triangular lattice: magnons, spinons, and gauge fields
• Microscopic models for Kitaev's sixteenfold way of anyon theories
• Induced self-stabilization in fractional quantum Hall states of light
• Large Thermal Hall Effect in $\alpha$-RuCl${}_3$: Evidence for Heat Transport by Kitaev-Heisenberg Paramagnons
• Bond disordered spin liquid and the honeycomb iridate H${}_3$LiIr${}_2$O${}_6$ $-$ abundant low energy density of states from random Majorana hopping
• Proximate ferromagnetic state in the Kitaev model material $\alpha$-RuCl${}_3$
• Physical states and finite-size effects in Kitaev's honeycomb model: Bond disorder, spin excitations, and NMR lineshape
• Fingerprints of Kitaev physics in the magnetic excitations of honeycomb iridates
• Ultralow-temperature thermal conductivity of the Kitaev honeycomb magnet $\alpha$-RuCl${}_3$ across the field-induced phase transition
• Spectral signatures of fractionalization in the frustrated Heisenberg model on the square lattice
• Unconventional spin dynamics in the honeycomb-lattice material $\alpha$-RuCl${}_3$: high-field ESR studies
• 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
• Dynamical structure factor of the three-dimensional quantum spin liquid candidate NaCaNi${}_2$F${}_7$
• Dynamical Localization in ${\mathbb{Z}}_2$ Lattice Gauge Theories
• Magnetic thermal conductivity far above the Néel temperatures in the Kitaev-magnet candidate $\alpha$-RuCl${}_3$
• Unveiling Magnetic Interactions of Ruthenium Trichloride via Constraining Direction of Orbital moments: Potential Routes to Realize Quantum Spin Liquid
• Exceptional Spin Liquids from Couplings to the Environment
• Theory of two-dimensional nonlinear spectroscopy for the Kitaev spin liquid
• Tunneling spectroscopy of quantum spin liquids
• Exotic low-energy excitations emergent in the random Kitaev magnet Cu${}_2$IrO${}_3$
• Resonant inelastic X-ray scattering response of the Kitaev honeycomb model
• Breakdown of magnetic order in the pressurized Kitaev iridate $\beta$-Li${}_2$IrO${}_3$
• A magnetic continuum observed by terahertz spectroscopy in a quantum spin liquid candidate BaCo${}_2$(AsO${}_4$)${}_2$
• Comprehensive study of the dynamics of a classical Kitaev spin liquid
• Path to stable quantum spin liquids in spin-orbit coupled correlated materials
• Competing spin liquids and hidden nematic order in spin ice with frustrated transverse exchange
• Dynamics of Topological Excitations in a Model Quantum Spin Ice
• Engineering and probing non-Abelian chiral spin liquids using periodically driven ultracold atoms
• Quantum spin liquid at finite temperature: proximate dynamics and persistent typicality
• Theory of Raman response in three-dimensional Kitaev spin liquids: application to $\beta -$ and $\gamma -$Li${}_2$IrO${}_3$ compounds
• The range of non-Kitaev terms and fractional particles in RuCl${}_3$
• Dirac and Chiral Quantum Spin Liquids on the Honeycomb Lattice in a Magnetic Field
• Phonon dynamics in the Kitaev spin liquid
• Dynamics of a quantum spin liquid beyond integrability $-$ the Kitaev-Heisenberg-$\Gamma$ model in an augmented parton mean-field theory
• Impact of off-diagonal exchange interactions on the Kitaev spin liquid state of $\alpha$-RuCl${}_3$
• Experimental signatures of quantum and topological states in frustrated magnetism
• Signatures of low-energy fractionalized excitations in $\alpha$-RuCl${}_3$ from field-dependent microwave absorption
• Dynamical structure factor of the $J_1-J_2$ Heisenberg model in one dimension: the variational Monte Carlo approach
• Thermodynamic and Transport Properties in Disordered Kitaev Models
• Destabilization of magnetic order in a dilute Kitaev spin liquid candidate
• Classical and quantum spin dynamics of the honeycomb $\Gamma$ model
• Electrical Access to Ising Anyons in Kitaev Spin Liquids
• Topological spinon semimetals and gapless boundary states in three dimensions
• Dynamics of visons and thermal Hall effect in perturbed Kitaev models
• Intermediate gapless phase and topological phase transition of Kitaev model in a uniform magnetic field
• Variational study of the Kitaev-Heisenberg-Gamma model
• Field-Driven Gapless Spin Liquid in the Spin-1 Kitaev Honeycomb Model
• Signatures of magnetic-field-driven quantum phase transitions in the entanglement entropy and spin dynamics of the Kitaev honeycomb model
• Electronic and phonon excitations in α-RuCl${}_3$
• Emergence of a nematic paramagnet via quantum order-by-disorder and pseudo-Goldstone modes in Kitaev magnets
• Landau levels of Majorana fermions in a spin liquid
• Topological Blocking in Quantum Quench Dynamics
• Majorana dynamical mean-field study of spin dynamics at finite temperatures in the honeycomb Kitaev model
• Kitaev honeycomb models in magnetic fields: Dynamical response and hidden symmetries
• Highly-anisotropic exchange interactions of $j_{\mathrm{eff}}=1/2$ iridium moments on the fcc lattice in La${}_{2}B$IrO${}_6$ ($B$ $=$ Mg, Zn)
• Local Magnetism and Spin Dynamics of the Frustrated Honeycomb Rhodate Li2RhO3
• Towards Kitaev Spin Liquid in 3d Transition Metal Compounds
• 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
• Density-Matrix Renormalization Group Study of Extended Kitaev-Heisenberg Model
• Vison Crystals in an Extended Kitaev Model on the Honeycomb Lattice
• Crystalline Kitaev spin liquids
• Flux crystals, Majorana metals, and flat bands in exactly solvable spin-orbital liquids
• Disorder upon disorder: localization effects in the Kitaev spin liquid
• Identification of a Kitaev Quantum Spin Liquid by Magnetic Field Angle Dependence
• Temperature evolution of spin dynamics in two- and three-dimensional Kitaev models: Influence of fluctuating gauge fluxes
• Efficient Simulation of Dynamics in Two-Dimensional Quantum Spin Systems with Isometric Tensor Networks
• Field-induced dynamical properties of the $XXZ$ model on a honeycomb lattice
• Spin dynamics and field-induced magnetic phase transition in the honeycomb Kitaev magnet $\alpha$-Li${}_2$IrO${}_3$
• Hole Spectral Function of a Chiral Spin Liquid in the Triangular Lattice Hubbard Model
• Majorana representations of spin and an alternative solution of the Kitaev honeycomb model
• Theory of a quantum spin liquid in hydrogen-intercalated honeycomb iridate, H3LiIr2O6
• Tunneling spectroscopy as a probe of fractionalization in 2D magnetic heterostructures
• Observation of a random singlet state in a diluted Kitaev honeycomb material
• Resonant Raman scattering theory for Kitaev models and their Majorana fermion boundary modes
• Interlayer Coupling Effect on a Bilayer Kitaev Model
• Exact resummation of the Holstein-Primakoff expansion and differential equation approach to operator square-roots
• Unusual excitations and double-peak specific heat in a bond-alternating spin-$1$ $K$-$\Gamma$ chain
• Magnetic Raman continuum in single crystalline H${}_3$LiIr${}_2$O${}_6$
• Scanning tunneling spectroscopy of Majorana zero modes in a Kitaev spin liquid
• Spin dynamics in the Kitaev model with disorder: Quantum Monte Carlo study of dynamical spin structure factor, magnetic susceptibility, and NMR relaxation rate
• Edge magnetization and spin transport in an SU(2)-symmetric Kitaev spin liquid
• High-resolution resonant inelastic x-ray scattering study of the electron-phonon coupling in honeycomb $\alpha$-Li${}_2$IrO${}_3$
• Putative spin liquid in the triangle-based iridate Ba${}_3$IrTi${}_2$O${}_9$
• THz excitations in α-RuCl3: Majorana fermions, rigid-plane shear and compression modes
• High-field thermal transport properties of the Kitaev quantum magnet alpha-RuCl3: evidence for low-energy excitations beyond the critical field
• Probing spinon nodal structures in three-dimensional Kitaev spin liquids
• Bilayer Kitaev models: Phase diagrams and novel phases
• Majorana-Magnon Crossover by a Magnetic Field in the Kitaev Model: Continuous-Time Quantum Monte Carlo Study
• Neutron scattering signatures of the 3D hyper-honeycomb Kitaev quantum spin-liquid
• Excitation spectrum of spin-1 Kitaev spin liquids
• Observing spin fractionalization in the Kitaev spin liquid via temperature evolution of indirect resonant inelastic x-ray scattering
• Spinon magnetic resonance of quantum spin liquids
• Vison-Majorana complex zero-energy resonance in Kitaev's spin liquid
• Mechanism for subgap optical conductivity in honeycomb Kitaev materials
• Nonequilibrium Majorana Dynamics by Quenching a Magnetic Field in Kitaev Spin Liquids
• Vestiges of Topological Phase Transitions in Kitaev Quantum Spin Liquids
• Plaquette order in classical spin liquid stabilized by strong off-diagonal exchange
• Majorana spectroscopy of 3D Kitaev spin-liquids
• Non-local spin correlation as a signature of Ising anyons trapped in vacancies of the Kitaev spin liquid
• Hole propagation in the Kitaev-Heisenberg model: From quasiparticles in quantum Neel states to non-Fermi liquid in the Kitaev phase
• Dynamics of a j=3/2 quantum spin liquid
• Dynamics of a two-dimensional quantum spin-orbital liquid: spectroscopic signatures of fermionic magnons
• High temperature thermodynamics of the honeycomb-lattice Kitaev-Heisenberg model: A high temperature series expansion study
• Spinon walk in quantum spin ice
• Further insights into the thermodynamics of the Kitaev honeycomb model
• Spin-Liquid--to--Spin-Liquid Transition in Kitaev Magnets Driven by Fractionalization
• Signatures of fractional statistics in nonlinear pump-probe spectroscopy
• Majorana Landau Level Raman Spectroscopy
• Subdiffusive dynamics and critical quantum correlations in a disorder-free localized Kitaev honeycomb model out of equilibrium
• Anyon dynamics in field-driven phases of the anisotropic Kitaev model
• Topological phase transition to Abelian anyon phases due to off-diagonal exchange interaction in the Kitaev spin liquid state
• Magnetoelectric generation of a Majorana-Fermi surface in Kitaev's honeycomb model
• Thermal spin dynamics of Kitaev magnets $-$ scattering continua and magnetic field induced phases within a stochastic semiclassical approach
• Non-Abelian chiral spin liquid on a simple non-Archimedean lattice
• Thermally induced metallic phase in a gapped quantum spin liquid - a Monte Carlo study of the Kitaev model with parity projection
• Majorana correlations in the Kitaev model with ordered-flux structures
• Footprints of the Kitaev spin liquid in the Fano lineshapes of the Raman active optical phonons
• Magnon-spinon dichotomy in the Kitaev hyperhoneycomb $\beta$-Li${}_2$IrO${}_3$
• Generic Field-Driven Phenomena in Kitaev Spin Liquids: Canted Magnetism and Proximate Spin Liquid Physics
• Analytic calculation of the vison gap in the Kitaev spin liquid
• Role of the spin-orbit coupling in the Kugel-Khomskii model on the honeycomb lattice
• Low temperature properties in the Bilayer Kitaev model
• Momentum-independent magnetic excitation continuum in the honeycomb iridate H${}_3$LiIr${}_2$O${}_6$
• Phononic-magnetic dichotomy of the thermal Hall effect in the Kitaev-Heisenberg candidate material Na${}_2$Co${}_2$TeO${}_6$
• Raman scattering in correlated thin films as a probe of chargeless surface states
• Signatures of Kitaev interactions in the van der Waals ferromagnet VI3
• Spin dynamics of the generalized quantum spin compass chain
• Testing Ising Topological Order in $\alpha$-RuCl${}_3$ Under In-Plane Magnetic Fields
• Spin dynamics of counterrotating Kitaev spirals via duality
• Ground-state properties of the $K-\Gamma$ model on a honeycomb lattice
• Field and Polarization Dependent Quantum Spin Dynamics in Honeycomb Magnet Na${}_2$Co${}_2$TeO${}_6$: Magnetic Excitations and Continuum
• Field evolution of low-energy excitations in the hyperhoneycomb magnet $\beta$-Li${}_2$IrO${}_3$
• Sub-gap optical response across the structural phase transition in van der Waals layered α-RuCl${}_3$
• Probing quantum spin liquids in equilibrium using the inverse spin Hall effect
• Emergent glassiness in disorder-free Kitaev model: Density matrix renormalization group study on a one-dimensional ladder setting
• Dynamical structure factor in the non-Abelian phase of the Kitaev honeycomb model in the presence of quenched disorder
• Probing Majorana wavefunctions in Kitaev honeycomb spin liquids with second-order two-dimensional spectroscopy
• Nonlinear response of the Kitaev honeycomb lattice model in a weak magnetic field
• Electric-field control of magnetic anisotropies: applications to Kitaev spin liquids and topological spin textures
• Fractionalization Signatures in the Dynamics of Quantum Spin Liquids
• Hydrated lithium intercalation into the Kitaev spin liquid candidate material $\alpha -$RuCl${}_3$
• Magnetic Excitations and Interactions in the Kitaev Hyperhoneycomb Iridate $\beta$-Li${}_2$IrO${}_3$
• Dissipationless Spin Current Generation in Kitaev's Chiral Spin Liquid
• Topological Nematic Phase Transition in Kitaev Magnets Under Applied Magnetic Fields
• Spin excitation continuum to topological magnon crossover and thermal Hall conductivity in Kitaev magnets
• Gauge field entanglement of Kitaev's honeycomb model
• $Z_3$ generalization of the Kitaev's spin-1/2 model
• Phonon Dynamics in the Generalized Kitaev Spin Liquid
• Quantum paramagnetism in the hyperhoneycomb Kitaev magnet $\beta$-ZnIrO${}_3$
• Spontaneous dimerization, spin-nematic order, and deconfined quantum critical point in a spin-1 Kitaev chain with tunable single-ion anisotropy
• Incarnation of Majorana Fermions in Kitaev Quantum Spin Lattice
• Weak-coupling to strong-coupling quantum criticality crossover in a Kitaev quantum spin liquid $\alpha$-RuCl${}_3$
• Oriented propagation of magnetization due to chiral edge modes in Kitaev-type models
• Scattering phenomena for spin transport in Kitaev spin liquid
• Single-hole spectra of Kitaev spin liquids: from dynamical Nagaoka ferromagnetism to spin-hole fractionalization
• Projective symmetry of partons in Kitaev's honeycomb model
• Raman fingerprints of fractionalized Majorana excitations in honeycomb iridate Ag${}_3$LiIr${}_2$O${}_6$
• Momentum-resolved time evolution with matrix product states
• Magnetic order and spin excitations in the Kitaev--Heisenberg model on the honeycomb lattice
• Dynamical response theory of interacting Majorana fermions and its application to generic Kitaev quantum spin liquids in a field
• Majorana Fermion Mean-Field Theories of Kitaev Quantum Spin Liquids
• Anomalous thermal relaxation and pump-probe spectroscopy of 2D topologically ordered systems
• Extended Quantum Spin Liquid with Spinon-like Excitations in an Anisotropic Kitaev-Gamma Model
• Gapless Spin Liquid and Non-local Corner Excitation in the Spin-1/2 Heisenberg Antiferromagnet on Fractal
• Bound states of fractionalized excitations in a modulated Kitaev spin liquid
• Strain-induced phase diagram of the $S=\frac{3}{2}$ Kitaev material $\mathrm{CrSiT}{\mathrm{e}}_3$
• Converting electrons into emergent fermions at a superconductor-Kitaev spin liquid interface
• Topological spinon bands and vison excitations in spin-orbit coupled quantum spin liquids
• Unusual spin dynamics in topological insulators
• Trimer classical spin liquid from interacting fractional charges
• Interedge spin resonance in the Kitaev quantum spin liquid
• Quenching the Kitaev honeycomb model
• Valence bond fluctuations in the Kitaev spin model
• Spin Seebeck Effect as a Probe for Majorana Fermions in Kitaev Spin Liquids
• Disentangling spin excitation continua in classical and quantum magnets using 2D nonlinear spectroscopy
• Projective-symmetry-group analysis of inelastic light scattering in Kitaev spin balls
• Gauge symmetry of excited states in projected entangled-pair state simulations
• Gauge Field Dynamics in Multilayer Kitaev Spin Liquids
• Drag resistance mediated by quantum spin liquids
• Tensor Network enhanced Dynamic Multiproduct Formulas
• Spin excitations in the two-dimensional strongly coupled dimer system malachite
• Multipolar spin liquid in an exactly solvable model for $j_{\mathrm{eff}}=\frac{3}{2}$ moments
• Interplay of uniform U(1) quantum spin liquid and magnetic phases in rare earth pyrochlore magnets : a fermionic parton approach
• Sound attenuation in the hyperhoneycomb Kitaev spin liquid
• Response and phase transition of a Kitaev spin liquid in a local magnetic field
• High temperature dynamics in quantum compass models
• Impact of disorder on dynamics and ordering in the honeycomb lattice iridate Na${}_2$IrO${}_3$
• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
• Emergence of bond-dependent highly anisotropic magnetic interactions in Sr${}_4$RhO${}_6$: a theoretical study
• Finite-momentum energy dynamics in a Kitaev magnet
• Spin-orbital liquid in Ba${}_3$CuSb${}_2$O${}_9$ stabilized by oxygen holes
• Controlling the RKKY interaction and heat transport in a Kitaev spin liquid via $Z_2$ flux walls
• Quantum simulation and ground state preparation for the honeycomb Kitaev model
• Anyon polarons as a window into competing phases of the Kitaev honeycomb model under a Zeeman field
• Digital Quantum Simulation of the Kitaev Quantum Spin Liquid
• Two-stage evolution of magnetic correlations in spiral spin liquid material, Ca${}_{10}$Cr${}_7$O${}_{28}$
• Fractionalized Superconductivity Mediated by Majorana Fermions in the Kitaev-Kondo Lattice
• Topological Aspects of Antiferromagnets
• Raman spectroscopy of Na${}_3$Co${}_2$SbO${}_6$
• Real-time control of non-Abelian anyons in Kitaev spin liquid under energy dissipation
• A primer on Kitaev Model: Basic aspects, material realization, and recent experiments
• Exactly solvable dissipative dynamics and one-form strong-to-weak spontaneous symmetry breaking in interacting two-dimensional spin systems
• Witnessing Disorder in Quantum Magnets
• Disorder and non-Hermiticity in Kitaev spin liquids with a Majorana Fermi surface
• Random Transverse Field Effects on Magnetic Noise in Spin Systems
• Keldysh pseudo-fermion functional renormalization group for quantum magnetism
• Topological Characterization of Kitaev Spin Nanoribbons with Ordered Flux Configurations
• Static and Dynamical Spin Correlations in the Kitaev Model at Finite Temperatures via Green's Function Equation of Motion
• Schwinger boson theory for $S=1$ Kitaev quantum spin liquids
• Long-range spin correlations in a honeycomb spin model with magnetic field
• The Kekulé-Kitaev model: linear and non-linear responses and magnetic field effects
• Magnetostriction in the $J$-$K$-$\Gamma$ model: Application of the numerical linked cluster expansion
• Electron correlation effects and spin-liquid state in the Herbertsmithite Kagome lattice
• Non-Abelian statistics in light scattering processes across interacting Haldane chains
• Three-dimensional spin-orbital liquids
• Phases and Quantum Phase Transitions in Anisotropic Antiferromagnetic Kitaev-Heisenberg-$\Gamma$ magnet
• Dynamical Response of the Kitaev Spin Liquid under Third-Nearest-Neighbor Heisenberg Interaction
• Exactly solvable spin liquids in Kitaev bilayers and moiré superlattices
• Disorder, Low-Energy Excitations, and Topology in the Kitaev Spin Liquid
• Majorana Signatures in Planar Tunneling through a Kitaev Spin Liquid