Spin Wave Analysis of Low-Temperature Thermal Hall Effect in the Candidate Kitaev Spin Liquid $\alpha$-RuCl${}_3$

Abstract

Proposed effective Hamiltonians from the literature for the material $\alpha$-RuCl${}_3$ are used to compute the magnon thermal Hall conductivity, ${\kappa }_{xy}$, using linear spin wave theory for the magnetically ordered state. No model previously proposed that was tested explains published experimental data. Models with Kitaev interaction $K>0$ are seen to predict ${\kappa }_{xy}\gtrsim 0$, which is inconsistent with the data. Fluctuations toward a Kitaev-type spin liquid would have the wrong sign to explain the data. However, a slight variant of a previously proposed model predicts a large ${\kappa }_{xy}$, demonstrating that the low-temperature thermal Hall effect could be generated exclusively by the Berry curvature of the magnon bands. The experimental data of ${\kappa }_{xy}$ can therefore serve as another method to constrain a proposed effective Hamiltonian.

arXiv comment7 pages, 4 figures

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Cited by in corpus (62)

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• Theory of the field-revealed Kitaev spin liquid
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• Rethinking $\alpha$-RuCl${}_3$
• One Proximate Kitaev Spin Liquid in the $K$-$J$-$\Gamma$ Model on the Honeycomb Lattice
• Sign structure of thermal Hall conductivity for in-plane-field polarized Kitaev magnets
• Dynamical and thermal magnetic properties of the Kitaev spin liquid candidate $\alpha$-RuCl${}_3$
• Identification of Magnetic Interactions and High-field Quantum Spin Liquid in $\alpha$-RuCl${}_3$
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• Thermodynamic perspective on the field-induced behavior of $\alpha$-RuCl${}_3$
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• Topological Phases in Magnonics
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• Deriving models for the Kitaev spin-liquid candidate material $\alpha$-RuCl${}_3$ from first principles
• Magnetoelastic coupling and effects of uniaxial strain in $\alpha$-RuCl${}_3$ from first principles
• Phonon renormalization in the Kitaev quantum spin liquid
• Kitaev honeycomb models in magnetic fields: Dynamical response and hidden symmetries
• Field-induced phase transitions of the Kitaev material $\alpha$-RuCl${}_3$ probed by thermal expansion and magnetostriction
• Field-induced QCD${}_3$-Chern-Simons quantum criticalities in Kitaev materials
• Significant thermal Hall effect in the 3$d$ cobalt Kitaev system $N{a}_{2}C{o}_{2}Te{O}_6$
• Tunneling spectroscopy as a probe of fractionalization in 2D magnetic heterostructures
• Magnetic anisotropy of the alkali iridate Na${}_2$IrO${}_3$ at high magnetic fields: evidence for strong ferromagnetic Kitaev correlations
• Thermal Transport for Probing Quantum Materials
• Thermal Hall signatures of non-Kitaev spin liquids in honeycomb Kitaev materials
• Kitaev Quantum Spin Liquids
• Topological thermal Hall effect driven by fluctuation of spin chirality in frustrated antiferromagnets
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• Extraction of the interaction parameters for $\alpha -$RuCl${}_3$ from neutron data using machine learning
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• Field-angle dependence of thermal Hall conductivity in magnetically ordered Kitaev-Heisenberg system
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• Multinode quantum spin liquids on the honeycomb lattice
• Phonon Hall viscosity from phonon-spinon interactions
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• Thermal Hall Effect in the Kitaev-Heisenberg System with Spin-Phonon Coupling
• Scattering Signatures of Bond-Dependent Magnetic Interactions
• Flavor-wave theory with quasiparticle damping at finite temperatures: Application to chiral edge modes in the Kitaev model
• The Saga of $\alpha$-RuCl${}_3$: Parameters, Models, and Phase Diagrams
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• Discovering momentum-dependent magnon spin texture in insulating antiferromagnets: Role of the Kitaev interaction
• Phase diagrams of spin-$S$ Kitaev ladders
• Differentiable programming tensor networks for Kitaev magnets
• Scattering phenomena for spin transport in Kitaev spin liquid
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• Sign Changes in Heat, Spin, and Orbital Magnon Transport Coefficients in Kitaev Ferromagnets
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• Cobalt-Based Pyroxenes: A New Playground for Kitaev Physics and Ising Model Realization
• Kinetic Ferromagnetism and Topological Magnons of the Hole-Doped Kitaev Spin Liquid
• High-field quantum spin liquid transitions and angle-field phase diagram of Kitaev magnet $\alpha$-RuCl${}_3$
• Phase diagram for Hole-Doped Kitaev System on the Honeycomb Lattice
• Electric polarization near vortices in the extended Kitaev model
• Transport in honeycomb lattice with random $\pi$-fluxes: implications for low-temperature thermal transport in the Kitaev spin liquids
• First-principles study of bulk stacking, $J_{\mathrm{eff}}$ picture, magnetic Hamiltonian, $g$ factors, and structural distortions of $\alpha$-RuCl${}_3$
• Magnetostriction in the $J$-$K$-$\Gamma$ model: Application of the numerical linked cluster expansion