Topological Weyl magnons and thermal Hall effect in layered honeycomb ferromagnets

Abstract

In this work, we study the topological properties and magnon Hall effect of a three-dimensional ferromagnet in the ABC stacking honeycomb lattice, motivated by the recent inelastic neutron scattering study of CrI${}_3$. We show that the magnon band structure and Chern numbers of the magnon branches are significantly affected by the interlayer coupling $J_c$, which moreover has a qualitatively different effect in the ABC stacking compared to the AA stacking adopted by other authors. The nontrivial Chern number of the lowest magnon band is stabilized by the next-nearest-neighbour Dzyaloshinsky-Moriya interaction in each honeycomb layer, resulting in the hopping term similar to that in the electronic Haldane model for graphene. However, we also find several gapless Weyl points, separating the non-equivalent Chern insulating phases, tuned by the ratio of the interlayer coupling $J_c$ and the third-neighbour Heisenberg interaction $J_3$. We further show that the topological character of magnon bands results in non-zero thermal Hall conductivity, whose sign and magnitude depend on $J_c$ and the intra-layer couplings. Since the interlayer coupling strength $J_c$ can be easily tuned by applying pressure to the quasi-2D material such as CrI${}_3$, this provides a potential route to tuning the magnon thermal Hall effect in an experiment.

References in corpus (40)

• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Weyl Semimetal in a Topological Insulator Multilayer
• Topological Materials: Weyl Semimetals
• Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
• Quantum Hall effects in a Weyl Semi-Metal: possible application in pyrochlore Iridates
• Observation of the Magnon Hall Effect
• Stacking-Dependent Magnetism in Bilayer CrI${}_3$
• Theory of Thermal Hall Effect in Quantum Magnets
• Theoretical prediction of rotating magnon wavepacket in ferromagnets
• Topological chiral magnonic edge mode in a magnonic crystal
• Topological spin excitations in honeycomb ferromagnet CrI${}_3$
• The thermal Hall effect of spin excitations in a Kagome magnet
• Rotational motion of magnon and thermal Hall effect
• A first theoretical realization of honeycomb topological magnon insulator
• Weyl magnons in breathing pyrochlore antiferromagnets
• Chiral spin-wave edge modes in dipolar magnetic thin films
• Supercurrent in a room temperature Bose-Einstein magnon condensate
• Tunable magnon Weyl points in ferromagnetic pyrochlores
• Dirac magnons in honeycomb ferromagnets
• Tricritical behavior of two-dimensional intrinsic ferromagnetic semiconducting CrGeTe3
• Magnon Dirac materials
• Topological honeycomb magnon Hall effect: A calculation of thermal Hall conductivity of magnetic spin excitations
• Quantization of the thermal Hall conductivity at small Hall angles
• Thermal Hall Effect of Spins in a Paramagnet
• Dirac and nodal line magnons in three-dimensional antiferromagnets
• Magnonic Weyl semimetal in pyrochlore ferromagnets
• Topological spin excitations observed in a three-dimensional antiferromagnet
• Magnonic quantum Hall effect and Wiedemann-Franz law
• Discovery of coexisting Dirac and triply degenerate magnons in a three-dimensional antiferromagnet
• Chiral anomaly of Weyl magnons in stacked honeycomb ferromagnets
• Topological magnon bands in the zigzag and stripy phases of antiferromagnetic honeycomb lattice
• Weyl magnons in pyrochlore antiferromagnets with all-in-all-out orders
• Weyl magnons in noncoplanar stacked kagome antiferromagnets
• Topological magnons with nodal-line and triple-point degeneracies: Implications for thermal Hall effect in pyrochlore iridates
• Three-Dimensional Quantum Anomalous Hall Effect in Ferromagnetic Insulators
• Stimulated Thermalization of a Parametrically Driven Magnon Gas as a Prerequisite for Bose-Einstein Magnon Condensation
• Spin Hall and Nernst effects of Weyl magnons
• Weyl and nodal ring magnons in three-dimensional honeycomb lattices
• Magnonic triply-degenerate nodal points
• Topological transitions of spin-excitations in insulating chiral antiferromagnets

Cited by in corpus (7)

• Anomalous Thermal Hall Effect in an Insulating van der Waals Magnet VI3
• Thermal Hall effect in a van der Waals ferromagnet CrI3
• Giant anomalous thermal Hall effect in tilted type-I magnetic Weyl semimetal Co${}_3$Sn${}_2$S${}_2$
• Quantum Weyl-Heisenberg antiferromagnet
• Angular-Dependent Thermal Hall Effect in a Honeycomb Magnet: Disentangling Kitaev and Dzyaloshinskii-Moriya Interactions
• Magnon Thermal Hall Effect Induced By Symmetric Exchange Interaction
• Fate of Bosonic Topological Edge Modes in the Presence of Many-Body Interactions