Field-angle dependence of thermal Hall conductivity in magnetically ordered Kitaev-Heisenberg system

Abstract

We study magnetic excitations and thermal Hall effect on the Kitaev-Heisenberg model under magnetic fields. By employing the spin-wave theory for the magnetic orders realized in this model, we examine the topological nature of the spin-wave dispersions and calculate the thermal Hall conductivity. The comprehensive investigations on the field-angle dependence clarify that the thermal Hall conductivity is sensitive to the spin ordered pattern and excitation spectra of magnons; this quantity is enhanced by the noncoplanar spin configurations and small magnon gap in the excitation spectrum. On the other hand, we also find a common feature in the field-angle dependence of the thermal Hall conductivity. It vanishes when the magnetic field is on the planes spanned by the spin axes. We reveal that the behavior is intrinsic to the Kitaev -Heisenberg model in an applied field and demonstrate that the introduction of the off-diagonal spin interaction causes the disappearance of the feature in the thermal Hall conductivity.

12 pages, 10 figures

References in corpus (19)

• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• $\alpha$-RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
• Models and Materials for Generalized Kitaev Magnetism
• On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3
• Magnetic order in $\alpha$-RuCl${}_3$: a honeycomb lattice quantum magnet with strong spin-orbit coupling
• Successive magnetic phase transitions in $\mathbf{\alpha }$-RuCl${}_3$: XY-like frustrated magnet on the honeycomb lattice
• Possible proximity of the Mott insulating Iridate Na2IrO3 to a topological phase: Phase diagram of the Heisenberg-Kitaev model in a magnetic field
• Anisotropic Ru3+ 4d5 magnetism in the alpha-RuCl3 honeycomb system: susceptibility, specific heat and Zero field NMR
• Honeycomb-lattice Heisenberg-Kitaev model in a magnetic field: Spin canting, metamagnetism, and vortex crystals
• Magnetic anisotropy in the Kitaev model systems Na2IrO3 and RuCl3
• Theory of the field-revealed Kitaev spin liquid
• Kitaev Materials
• Topological magnons for thermal Hall transport in frustrated magnets with bond-dependent interactions
• Magnon Hall Effect without Dzyaloshinskii-Moriya Interaction
• Unquantized thermal Hall effect in quantum spin liquids with spinon Fermi surfaces
• Spin Seebeck Effect in Nonmagnetic Excitonic Insulators
• Oscillations of the thermal conductivity observed in the spin-liquid state of $\alpha$-RuCl${}_3$
• Symmetry Analysis of Tensors in the Honeycomb Lattice of Edge-Sharing Octahedra
• Spin-orbit coupling in octamers in a spinel sulfide CuIr${}_2$S${}_4$: Competition between spin-singlet and quadrupolar states, and its relevance to remnant paramagnetism

Cited by in corpus (16)

• Planar Thermal Hall Effects in Kitaev Spin Liquid Candidate Na2Co2TeO6
• Majorana-fermion origin of the planar thermal Hall effect in the Kitaev magnet $\alpha$-RuCl${}_3$
• Symmetry-based requirement for the measurement of electrical and thermal Hall conductivity under an in-plane magnetic field
• Phonon Thermal Hall Conductivity from Scattering with Collective Fluctuations
• Thermal Hall Effect in the Kitaev-Heisenberg System with Spin-Phonon Coupling
• Flavor-wave theory with quasiparticle damping at finite temperatures: Application to chiral edge modes in the Kitaev model
• Thermal Hall effect incorporating magnon damping in localized spin systems
• Scattering phenomena for spin transport in Kitaev spin liquid
• Dynamics of fractionalized mean-field theories: consequences for Kitaev materials
• Field-Angle-Resolved Specific Heat in Na${}_2$Co${}_2$TeO${}_6$: Evidence against Kitaev Quantum Spin Liquid
• Thermal Hall conductivity near field-suppressed magnetic order in a Kitaev-Heisenberg model
• Successive topological phase transitions in two distinct spin-flop phases on the honeycomb lattice
• Formulation of spin Nernst effect for spin-nonconserving insulating magnets
• Real-time control of non-Abelian anyons in Kitaev spin liquid under energy dissipation
• Transport in honeycomb lattice with random $\pi$-fluxes: implications for low-temperature thermal transport in the Kitaev spin liquids
• Classification of magnon thermal Hall systems based on U(1) to non-Abelian gauge fields