Thermal Transport in the Kitaev Model

Abstract

In conventional insulating magnets, heat is carried by magnons and phonons. In contrast, when the magnets harbor a quantum spin liquid state, emergent quasiparticles from the fractionalization of quantum spins can carry heat. Here, we investigate unconventional thermal transport yielded by such exotic carriers, in both longitudinal and transverse components, for the Kitaev model, whose ground state is exactly shown to be a quantum spin liquid with fractional excitations described as itinerant Majorana fermions and localized $Z_2$ fluxes. We find that the longitudinal thermal conductivity exhibits a broad peak at very different temperatures between the zero and nonzero frequency components, reflecting the spin fractionalization. On the other hand, the transverse thermal conductivity induced by the magnetic field shows nonmonotonic temperature dependence, due to thermal excitations of the localized $Z_2$ fluxes. In the low-temperature limit, the temperature-linear coefficient rapidly approaches a quantized value, as expected from the topologically nontrivial nature of itinerant Majorana fermions. The characteristic behaviors provide experimentally-accessible evidences of fractional excitations in the proximity to Kitaev quantum spin liquid.

5 pages, 3 figures

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Cited by in corpus (114)

• Quantum Spin Liquids
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• Kitaev quantum spin liquid - concept and materialization
• Half-integer quantized anomalous thermal Hall effect in the Kitaev material $\alpha$-RuCl${}_3$
• Hunting Majorana Fermions in Kitaev Magnets
• Unusual thermal Hall effect in a Kitaev spin liquid candidate $\alpha$-RuCl${}_3$
• Robustness of the thermal Hall effect close to half-quantization in a field-induced spin liquid state
• Giant thermal Hall conductivity from neutral excitations in the pseudogap phase of cuprates
• Phonons become chiral in the pseudogap phase of cuprates
• Topological Magnons in Kitaev Magnets at High Fields
• Observation of two types of anyons in the Kitaev honeycomb magnet
• Heisenberg-Kitaev physics in magnetic fields
• Evidence of a Phonon Hall Effect in the Kitaev Spin Liquid Candidate $\alpha$-RuCl${}_3$
• Large Thermal Hall Effect in $\alpha$-RuCl${}_3$: Evidence for Heat Transport by Kitaev-Heisenberg Paramagnons
• Ultralow-temperature thermal conductivity of the Kitaev honeycomb magnet $\alpha$-RuCl${}_3$ across the field-induced phase transition
• Sign structure of thermal Hall conductivity for in-plane-field polarized Kitaev magnets
• Spin Wave Analysis of Low-Temperature Thermal Hall Effect in the Candidate Kitaev Spin Liquid $\alpha$-RuCl${}_3$
• Thermal Hall conductivity in the cuprate Mott insulators Nd${}_2$CuO${}_4$ and Sr${}_2$CuO${}_2$Cl${}_2$
• Successive Majorana Topological Transitions Driven by a Magnetic Field in the Kitaev Model
• Ground-state and thermodynamic properties of an $S=1$ Kitaev model
• Topological magnons for thermal Hall transport in frustrated magnets with bond-dependent interactions
• Engineering and probing non-Abelian chiral spin liquids using periodically driven ultracold atoms
• Incipient and well-developed entropy plateaus in spin-S Kitaev models
• Thermal Hall effects in quantum magnets
• Thermodynamic perspective on the field-induced behavior of $\alpha$-RuCl${}_3$
• Impact of off-diagonal exchange interactions on the Kitaev spin liquid state of $\alpha$-RuCl${}_3$
• Thermodynamic and Transport Properties in Disordered Kitaev Models
• Dynamics of visons and thermal Hall effect in perturbed Kitaev models
• Signatures of magnetic-field-driven quantum phase transitions in the entanglement entropy and spin dynamics of the Kitaev honeycomb model
• Charged Defects and Phonon Hall Effects in Ionic Crystals
• Giant Phonon Anomalies in the Proximate Kitaev Quantum Spin Liquid $\alpha$-RuCl${}_3$
• Majorana-mediated spin transport without spin polarization in Kitaev quantum spin liquids
• Towards Kitaev Spin Liquid in 3d Transition Metal Compounds
• Thermal transport in a two-dimensional ${\mathbb{Z}}_2$ spin liquid
• Two-step gap opening across the quantum critical point in a Kitaev honeycomb magnet
• Disorder upon disorder: localization effects in the Kitaev spin liquid
• 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${}_3$
• Ordered states in the Kitaev-Heisenberg model: From 1D chains to 2D honeycomb
• Temperature evolution of spin dynamics in two- and three-dimensional Kitaev models: Influence of fluctuating gauge fluxes
• Significant thermal Hall effect in the 3$d$ cobalt Kitaev system $N{a}_{2}C{o}_{2}Te{O}_6$
• Interlayer Coupling Effect on a Bilayer Kitaev Model
• Symmetry-based requirement for the measurement of electrical and thermal Hall conductivity under an in-plane magnetic field
• Kitaev Quantum Spin Liquids
• Revealing the Phase Diagram of Kitaev Materials by Machine Learning: Cooperation and Competition between Spin Liquids
• High-resolution resonant inelastic x-ray scattering study of the electron-phonon coupling in honeycomb $\alpha$-Li${}_2$IrO${}_3$
• 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
• Anderson-Kitaev spin liquid
• Bilayer Kitaev models: Phase diagrams and novel phases
• Quantum and classical behavior of spin-$S$ Kitaev models in an anisotropic limit
• Majorana-Magnon Crossover by a Magnetic Field in the Kitaev Model: Continuous-Time Quantum Monte Carlo Study
• Intrinsic sign problem in fermionic and bosonic chiral topological matter
• Planar thermal Hall effect from phonons in a Kitaev candidate material
• Nonequilibrium Majorana Dynamics by Quenching a Magnetic Field in Kitaev Spin Liquids
• Vestiges of Topological Phase Transitions in Kitaev Quantum Spin Liquids
• Field-angle dependence of thermal Hall conductivity in magnetically ordered Kitaev-Heisenberg system
• Dynamics of a two-dimensional quantum spin-orbital liquid: spectroscopic signatures of fermionic magnons
• Heat transport in the anisotropic Kitaev spin liquid
• Subdiffusive dynamics and critical quantum correlations in a disorder-free localized Kitaev honeycomb model out of equilibrium
• 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
• Impurity-induced phonon thermal Hall effect in the antiferromagnetic phase of Sr2IrO4
• Magnon-spinon dichotomy in the Kitaev hyperhoneycomb $\beta$-Li${}_2$IrO${}_3$
• Majorana correlations in the Kitaev model with ordered-flux structures
• Low temperature properties in the Bilayer Kitaev model
• Phononic-magnetic dichotomy of the thermal Hall effect in the Kitaev-Heisenberg candidate material Na${}_2$Co${}_2$TeO${}_6$
• Flux mobility delocalization in the Kitaev spin ladder
• Tunneling spectroscopic signatures of charge doping and associated Mott transition in $\alpha$-RuCl${}_3$ in proximity to graphite
• Transport in spinless superconducting wires
• Residual Entropy and Spin Fractionalizations in the Mixed-Spin Kitaev Model
• Local spin structure of the $\alpha$-RuCl${}_3$ honeycomb-lattice magnet observed via muon spin rotation/relaxation
• Spin transport in the Quantum Spin Liquid State in the $S=1$ Kitaev model: role of the fractionalized quasiparticles
• Field and Polarization Dependent Quantum Spin Dynamics in Honeycomb Magnet Na${}_2$Co${}_2$TeO${}_6$: Magnetic Excitations and Continuum
• Diagonal and off-diagonal thermal conduction with resonant phonon scattering in $N{i}_{3}Te{O}_6$
• Low temperature enhancement of ferromagnetic Kitaev correlations in α-RuCl3
• Topological Nematic Phase Transition in Kitaev Magnets Under Applied Magnetic Fields
• Dissipationless Spin Current Generation in Kitaev's Chiral Spin Liquid
• Quantum paramagnetism in the hyperhoneycomb Kitaev magnet $\beta$-ZnIrO${}_3$
• Scattering phenomena for spin transport in Kitaev spin liquid
• Dynamics of fractionalized mean-field theories: consequences for Kitaev materials
• Engineering Quantum Spin Liquids and Many-Body Majorana States with a Driven Superconducting Box Circuit
• Asymmetric modulation of Majorana excitation spectra and nonreciprocal thermal transport in the Kitaev spin liquid under a staggered magnetic field
• Thermal Hall conductivity near field-suppressed magnetic order in a Kitaev-Heisenberg model
• Spin liquid fingerprints in the thermal transport of a Kitaev-Heisenberg ladder
• Thermally enhanced Majorana-mediated spin transport in the Kitaev model
• Orbital Frustration and Emergent Flat Bands
• Robustness of entropy plateaus: A case study of triangular Ising antiferromagnets
• Bulk thermal transport coefficients in a quantum Hall system and the fundamental difference between thermal and charge response
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• Thermodynamic signature of the $\mathrm{SU}(4)$ spin-orbital liquid and symmetry fractionalization from the Lieb-Schultz-Mattis theorem
• 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
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• Degeneracy-projected polarization formulas for Hall-type conductivities
• Quantized thermal Hall conductance from edge current calculations in lattice models
• Ground-state properties for bilayer Kitaev model: dimer expansion study
• Finite-momentum energy dynamics in a Kitaev magnet
• Nonreciprocal heat transport in the Kitaev chiral spin liquid
• Quantum Spin Liquid phases in Kitaev Materials
• Controlling the RKKY interaction and heat transport in a Kitaev spin liquid via $Z_2$ flux walls
• Frustration and chirality in three-dimensional trillium lattices: Insights and Perspectives
• Exactly solvable dissipative dynamics and one-form strong-to-weak spontaneous symmetry breaking in interacting two-dimensional spin systems
• Formulation of spin Nernst effect for spin-nonconserving insulating magnets
• A quantum Monte Carlo method on asymptotic Lefschetz thimbles for quantum spin systems: An application to the Kitaev model in a magnetic field
• Real-time control of non-Abelian anyons in Kitaev spin liquid under energy dissipation
• Geometric and computational aspects of chiral topological quantum matter
• Genuine topological Anderson insulator from impurity induced chirality reversal
• Transport in honeycomb lattice with random $\pi$-fluxes: implications for low-temperature thermal transport in the Kitaev spin liquids
• Field-induced phase transitions in the Kitaev-Heisenberg model: A sign-problem-free quantum Monte Carlo study and possible application to $\alpha$-RuCl3
• Fractional Wannier Orbitals and Tight-Binding Gauge Fields for Kitaev Honeycomb Superlattices with Flat Majorana Bands
• Emergent spacetime supersymmetry at 2D fractionalized quantum criticality
• Exactly solvable spin liquids in Kitaev bilayers and moiré superlattices
• Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers