Dynamics of Fractionalization in Quantum Spin Liquids

Abstract

We present the theory of dynamical spin-response for the Kitaev honeycomb model, obtaining exact results for the structure factor (SF) in gapped and gapless, Abelian and non-Abelian quantum spin-liquid (QSL) phases. We also describe the advances in methodology necessary to compute these results. The structure factor shows signatures of spin-fractionalization into emergent quasiparticles -- Majorana fermions and fluxes of $Z_2$ gauge field. In addition to a broad continuum from spin-fractionalization, we find sharp ($\delta$-function) features in the response. These arise in two distinct ways: from excited states containing only (static) fluxes and no (mobile) fermions; and from excited states in which fermions are bound to fluxes. The SF is markedly different in Abelian and non-Abelian QSLs, and bound fermion-flux composites appear only in the non-Abelian phase.

21 pages, 14 figures

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• Exact results for spin dynamics and fractionization in the Kitaev Model
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Cited by in corpus (118)

• 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
• Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
• Excitations in the field-induced quantum spin liquid state of alpha-RuCl3
• Breakdown of Magnons in a Strongly Spin-Orbital Coupled Magnet
• Hunting Majorana Fermions in Kitaev Magnets
• 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${}_3$
• 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
• Probing $\alpha$-RuCl${}_3$ Beyond Magnetic Order: Effects of Temperature and Magnetic Field
• Quantum spin liquid signatures in Kitaev-like frustrated magnets
• 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${}_3$
• Dynamical and Topological Properties of the Kitaev Model in a [111] Magnetic Field
• Pressure-induced dimerization and valence bond crystal formation in the Kitaev-Heisenberg magnet alpha-RuCl3
• Antiferromagnetic resonance and terahertz continuum in $\alpha -$RuCl${}_3$
• Bond disordered spin liquid and the honeycomb iridate H${}_3$LiIr${}_2$O${}_6$ $-$ abundant low energy density of states from random Majorana hopping
• Local Probes for Charge-Neutral Edge States in Two-Dimensional Quantum Magnets
• Theory of two-dimensional nonlinear spectroscopy for the Kitaev spin liquid
• Resonant inelastic X-ray scattering response of the Kitaev honeycomb model
• Comprehensive study of the dynamics of a classical Kitaev spin liquid
• Engineering and probing non-Abelian chiral spin liquids using periodically driven ultracold atoms
• Quantum spin liquid at finite temperature: proximate dynamics and persistent typicality
• Dynamics of a quantum spin liquid beyond integrability $-$ the Kitaev-Heisenberg-$\Gamma$ model in an augmented parton mean-field theory
• Phonon dynamics in the Kitaev spin liquid
• Dynamical structure factor of the $J_1-J_2$ Heisenberg model in one dimension: the variational Monte Carlo approach
• Classical and quantum spin dynamics of the honeycomb $\Gamma$ model
• Variational study of the Kitaev-Heisenberg-Gamma model
• Signatures of magnetic-field-driven quantum phase transitions in the entanglement entropy and spin dynamics of the Kitaev honeycomb model
• 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
• Kitaev honeycomb models in magnetic fields: Dynamical response and hidden symmetries
• Local Magnetism and Spin Dynamics of the Frustrated Honeycomb Rhodate Li2RhO3
• Spin excitations of a proximate Kitaev quantum spin liquid realized in Cu${}_2$IrO${}_3$
• Effective model with strong Kitaev interactions for $\alpha$-$\mathrm{RuC}{\mathrm{l}}_3$
• Vison Crystals in an Extended Kitaev Model on the Honeycomb Lattice
• Disorder upon disorder: localization effects in the Kitaev spin liquid
• Dynamical Signatures of Symmetry Broken and Liquid Phases in an $S=1/2$ Heisenberg Antiferromagnet on the Triangular Lattice
• Efficient Simulation of Dynamics in Two-Dimensional Quantum Spin Systems with Isometric Tensor Networks
• Majorana representations of spin and an alternative solution of the Kitaev honeycomb model
• Tunneling spectroscopy as a probe of fractionalization in 2D magnetic heterostructures
• Spin-glass state and reversed magnetic anisotropy induced by Cr doping in the Kitaev magnet $\alpha$-RuCl${}_3$
• Kitaev Quantum Spin Liquids
• Spin dynamics in the Kitaev model with disorder: Quantum Monte Carlo study of dynamical spin structure factor, magnetic susceptibility, and NMR relaxation rate
• THz excitations in α-RuCl3: Majorana fermions, rigid-plane shear and compression modes
• Probing spinon nodal structures in three-dimensional Kitaev spin liquids
• Neutron scattering signatures of the 3D hyper-honeycomb Kitaev quantum spin-liquid
• Excitation spectrum of spin-1 Kitaev spin liquids
• Spinon magnetic resonance of quantum spin liquids
• Observing spin fractionalization in the Kitaev spin liquid via temperature evolution of indirect resonant inelastic x-ray scattering
• 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
• Dynamics of a j=3/2 quantum spin liquid
• 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
• Dynamics of a two-dimensional quantum spin-orbital liquid: spectroscopic signatures of fermionic magnons
• Nature of visons in the perturbed ferromagnetic and antiferromagnetic Kitaev honeycomb models
• Temperature evolution of the phonon dynamics in the Kitaev spin liquid
• Further insights into the thermodynamics of the Kitaev honeycomb model
• Signatures of fractional statistics in nonlinear pump-probe spectroscopy
• Majorana Landau Level Raman Spectroscopy
• Spin-Liquid--to--Spin-Liquid Transition in Kitaev Magnets Driven by Fractionalization
• Thermally induced metallic phase in a gapped quantum spin liquid - a Monte Carlo study of the Kitaev model with parity projection
• Magnetoelectric generation of a Majorana-Fermi surface in Kitaev's honeycomb model
• NMR Investigation on Honeycomb Iridate Ag${}_3$LiIr${}_2$O${}_6$
• Thermal spin dynamics of Kitaev magnets $-$ scattering continua and magnetic field induced phases within a stochastic semiclassical approach
• Generic Field-Driven Phenomena in Kitaev Spin Liquids: Canted Magnetism and Proximate Spin Liquid Physics
• 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${}_3$
• Momentum-independent magnetic excitation continuum in the honeycomb iridate H${}_3$LiIr${}_2$O${}_6$
• Fingerprints of quantum spin ice in Raman scattering
• Free coherent spinons in quantum square ice
• Raman scattering in correlated thin films as a probe of chargeless surface states
• Field and Polarization Dependent Quantum Spin Dynamics in Honeycomb Magnet Na${}_2$Co${}_2$TeO${}_6$: Magnetic Excitations and Continuum
• Probing quantum spin liquids in equilibrium using the inverse spin Hall effect
• Dynamical structure factor in the non-Abelian phase of the Kitaev honeycomb model in the presence of quenched disorder
• Spin dynamics of counterrotating Kitaev spirals via duality
• Nonlinear response of the Kitaev honeycomb lattice model in a weak magnetic field
• Fractionalization Signatures in the Dynamics of Quantum Spin Liquids
• Probing Majorana wavefunctions in Kitaev honeycomb spin liquids with second-order two-dimensional spectroscopy
• Spin excitation continuum to topological magnon crossover and thermal Hall conductivity in Kitaev magnets
• Revealing divergent length scales using quantum Fisher information in the Kitaev honeycomb model
• Oriented propagation of magnetization due to chiral edge modes in Kitaev-type models
• Phonon Dynamics in the Generalized Kitaev Spin Liquid
• Scattering phenomena for spin transport in Kitaev spin liquid
• Dynamics of fractionalized mean-field theories: consequences for Kitaev materials
• 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
• Topological spinon bands and vison excitations in spin-orbit coupled quantum spin liquids
• Extended Quantum Spin Liquid with Spinon-like Excitations in an Anisotropic Kitaev-Gamma Model
• Bound states of fractionalized excitations in a modulated Kitaev spin liquid
• Anomalous thermal relaxation and pump-probe spectroscopy of 2D topologically ordered systems
• Disentangling spin excitation continua in classical and quantum magnets using 2D nonlinear spectroscopy
• Spin Seebeck Effect as a Probe for Majorana Fermions in Kitaev Spin Liquids
• Quenching the Kitaev honeycomb model
• Projective-symmetry-group analysis of inelastic light scattering in Kitaev spin balls
• Quantum subspace expansion approach for simulating dynamical response functions of Kitaev spin liquids
• Sound attenuation in the hyperhoneycomb Kitaev spin liquid
• Response and phase transition of a Kitaev spin liquid in a local magnetic field
• Chiral excitations and the intermediate-field spin-liquid regime in the Kitaev magnet $\alpha$-RuCl${}_3$
• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
• Impact of disorder on dynamics and ordering in the honeycomb lattice iridate Na${}_2$IrO${}_3$
• High temperature dynamics in quantum compass models
• Anyon polarons as a window into competing phases of the Kitaev honeycomb model under a Zeeman field
• Real-time control of non-Abelian anyons in Kitaev spin liquid under energy dissipation
• Exactly solvable dissipative dynamics and one-form strong-to-weak spontaneous symmetry breaking in interacting two-dimensional spin systems
• Keldysh pseudo-fermion functional renormalization group for quantum magnetism
• 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
• Schwinger boson theory for $S=1$ Kitaev quantum spin liquids
• Majorana Signatures in Planar Tunneling through a Kitaev Spin Liquid
• Dynamical Response of the Kitaev Spin Liquid under Third-Nearest-Neighbor Heisenberg Interaction
• Disorder, Low-Energy Excitations, and Topology in the Kitaev Spin Liquid