Spin Hall and Nernst effects of Weyl magnons

Abstract

In this paper, we present a simple model of a three-dimensional insulating magnetic structure which represents a magnonic analog of the layered electronic system described in [Phys. Rev. Lett. {\bf 107}, 127205 (2011)]. In particular, our model realizes Weyl magnons as well as surface states with a Dirac spectrum. In this model, the Dzyaloshinskii-Moriya interaction is responsible for the separation of opposite Weyl points in momentum space. We calculate the intrinsic (due to the Berry curvature) transport properties of Weyl and so-called anomalous Hall effect (AHE) magnons. The results are compared with fermionic analogs.

9 pages, 5 figures, published version

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Cited by in corpus (27)

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• Topological insulators and semimetals in classical magnetic systems
• Intrinsic spin Nernst effect of magnons in a noncollinear antiferromagnet
• Topological Phases in Magnonics
• Topological Phase Transitions of Dirac Magnons in Honeycomb Ferromagnets
• Chiral Hinge Magnons in Second-Order Topological Magnon Insulators
• Topological magnons with nodal-line and triple-point degeneracies: Implications for thermal Hall effect in pyrochlore iridates
• Topological magnetic excitations
• Chiral topological insulator of magnons
• A Perspective on Magnon Spin Nernst Effect in Antiferromagnets
• Ultrafast Control of Spin Interactions in Honeycomb Antiferromagnetic Insulators
• Excitation of magnon spin photocurrents in antiferromagnetic insulators
• Magnonic Analogue of Edelstein Effect in Antiferromagnetic Insulators
• Magnon quantum anomalies in Weyl ferromagnets
• Topological Hybrids of Magnons and Magnon Bound Pairs
• Floquet Weyl Magnons
• Topological magnon gap engineering in van der Waals CrI${}_3$ ferromagnets
• Topological Weyl magnons and thermal Hall effect in layered honeycomb ferromagnets
• Discovering momentum-dependent magnon spin texture in insulating antiferromagnets: Role of the Kitaev interaction
• Fragility of ${\mathcal{Z}}_2$ topological invariant characterizing triplet excitations in a bilayer kagome magnet
• Topological magnon nodal-lines and absence of magnon spin Nernst effect in layered collinear antiferromagnets
• Electric field induced thermal Hall effect of triplons in the quantum dimer magnets $X$CuCl${}_3$ ($X=$ Tl, K)
• Thermal Transport Properties of Magnons on the $\alpha$-T${}_3$ Lattice
• Intrinsic Spin Nernst Effect and Chiral Edge Modes in van der Waals Ferromagnetic Insulators: Dzyaloshinskii-Moriya vs. Kitaev Interactions
• Topological transitions of spin-excitations in insulating chiral antiferromagnets
• Topological Aspects of Antiferromagnets
• Revealing Spin and Spatial Symmetry Decoupling: New Insights into Magnetic Systems with Dzyaloshinskii-Moriya Interaction