Magnon thermal Hall effect in kagome antiferromagnets with Dzyaloshinskii-Moriya interactions

Abstract

We theoretically study magnetic and topological properties of antiferromagnetic kagome spin systems in the presence of both in- and out-of-plane Dzyaloshinskii-Moriya interactions. In materials such as the iron jarosites, the in-plane interactions stabilize a canted noncollinear "umbrella" magnetic configuration with finite scalar spin chirality. We derive expressions for the canting angle, and use the resulting order as a starting point for a spin-wave analysis. We find topological magnon bands, characterized by non-zero Chern numbers. We calculate the magnon thermal Hall conductivity, and propose the iron jarosites as a promising candidate system for observing the magnon thermal Hall effect in a noncollinear spin configuration. We also show that the thermal conductivity can be tuned by varying an applied magnetic field, or the in-plane Dzyaloshinskii-Moriya strength. In contrast with previous studies of topological magnon bands, the effect is found to be large even in the limit of small canting.

11 pages, 11 figures

References in corpus (26)

• Observation of the Magnon Hall Effect
• Theoretical prediction of rotating magnon wavepacket in ferromagnets
• Topological Magnon Insulator in Insulating Ferromagnet
• Spin chirality on a two-dimensional frustrated lattice
• Quantum phase transition induced by Dzyaloshinskii-Moriya in the kagome antiferromagnet
• Dzyaloshinsky-Moriya Anisotropy in the Spin-1/2 Kagomé Compound ZnCu${}_3$(OH)${}_6$Cl${}_2$
• Spin waves in the Frustrated Kagome Lattice Antiferromagnet KFe3(OH)6(SO4)2
• Signature of magnon Nernst effect in an antiferromagnetic insulator
• Thermal Hall Effect of Spins in a Paramagnet
• Magnetic Susceptibility of the Kagome Antiferromagnet ZnCu3(OH)6Cl2
• Topological Thermal Hall Effect in Frustrated Kagomé Antiferromagnets
• Emergence of nontrivial magnetic excitations in a spin liquid state of kagome volborthite
• Magnetic Structure and Spin Waves in the Kagomé Jarosite compound $\mathbf{KF}{\mathbf{e}}_3(\mathbf{S}{\mathbf{O}}_4{)}_2(\mathbf{OH}{)}_6$
• Bulk and edge spin transport in topological magnon insulators
• Magnetic ordering phenomena of interacting quantum spin Hall models
• Dzyaloshinskii-Moriya interaction and spin re-orientation transition in the frustrated kagome lattice antiferromagnet
• Quantum criticality of the kagome antiferromagnet with Dzyaloshinskii-Moriya interactions
• Topological magnons in a kagome lattice spin system with $XXZ$ and Dzyaloshinskii-Moriya interactions
• Vesignieite: a $S=\frac{1}{2}$ kagome antiferromagnet with dominant third-neighbor exchange
• Photoinduced Topological Phase Transitions in Topological Magnon Insulators
• Chiral topological insulator of magnons
• Magnon Hall Effect without Dzyaloshinskii-Moriya Interaction
• Strain-Induced Topological Magnon Phase Transitions: Applications to Kagome-Lattice Ferromagnets
• Equilibrium currents in chiral systems with non-zero Chern number
• Determination of the single-ion anisotropy energy in a S = 5/2 kagome antiferromagnet using X-ray absorption spectroscopy
• Topological thermal Hall effect due to Weyl magnons

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• Topological thermal Hall effect driven by fluctuation of spin chirality in frustrated antiferromagnets
• Magnetic Topological Kagome Systems
• Hybrid topological magnon-phonon modes in honeycomb and kagome lattices
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• Magnonic Analogue of Edelstein Effect in Antiferromagnetic Insulators
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• Electrical reversal of the sign for magnon thermal Hall coefficient in a van der Waals bilayer antiferromagnet
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• Type-II Dirac points and Dirac nodal loops on the magnons of square-hexagon-octagon lattice
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• Thermal Hall conductivity of a valence bond solid phase in the square lattice $J_1$-$J_2$ antiferromagnet Heisenberg model with a Dzyaloshinskii-Moriya interaction
• Itinerant topological magnons and spin excitons in twisted transition metal dichalcogenides: Mapping electron topology to spin counterpart
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• Upper branch thermal Hall effect in quantum paramagnets
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• Interlayer Dzyaloshinskii-Moriya interactions induced via non-linear phononics in bilayer van der Waals materials
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• Magnon bands and transverse transport in a proposed two-dimensional $C{u}_2{F}_5$ ferrimagnet
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• Amplifying the antiferromagnetic spin Seebeck effect through topological magnons
• Intrinsic Thermal Hall Effect in Mott Insulators
• Topological transverse spin transport in a canted antiferromagnet/heavy metal heterostructure
• Fate of Bosonic Topological Edge Modes in the Presence of Many-Body Interactions
• Multiple topological phases of magnons induced by Dzyaloshinskii-Moriya and pseudodipolar anisotropic exchange interactions in Kagome ferromagnets
• Band topology and dynamic multiferroicity induced from dynamical Dzyaloshinskii-Moriya interactions in centrosymmetric lattices
• Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions
• Magnon Thermal Hall Effect Induced By Symmetric Exchange Interaction
• Classification of magnon thermal Hall systems based on U(1) to non-Abelian gauge fields
• Revealing Spin and Spatial Symmetry Decoupling: New Insights into Magnetic Systems with Dzyaloshinskii-Moriya Interaction
• Spin interactions and topological magnonics in chromium trihalide CrClBrI
• Kagome edge states under lattice termination, spin-orbit coupling, and magnetic order