Topological magnon nodal-lines and absence of magnon spin Nernst effect in layered collinear antiferromagnets

Abstract

We propose the existence of a symmetry-protected topological Dirac nodal line (DNL) magnonic phase in layered honeycomb collinear antiferromagnets even in the presence of spin-orbit Dzyaloshinskii-Moriya interaction. We show that the magnon spin Nernst effect, predicted to occur in strictly two-dimensional (2D) honeycomb collinear antiferromagnets cancels out in the layered honeycomb collinear antiferromagnets. In other words, the magnon spin Nernst effect in each 2D antiferromagnetic layer cancels out the succeeding layer. Hence, the Berry curvature vanish in the entire Brillouin zone due to the combination of time-reversal and space-inversion ($\mathcal{P}\mathcal{T}$) symmetry. However, upon symmetry breaking by an external magnetic field, we show that a non-vanishing Berry curvature and Chern number protected topological magnon bands are induced in the non-collinear spin structure. This leads to an experimentally accessible magnon thermal Hall effect in the $\mathcal{P}\mathcal{T}$ symmetry-broken topological DNL magnonic phase of layered honeycomb antiferromagnets. We propose that the current predicted results can be experimentally investigated in the layered honeycomb antiferromagnets CaMn${}_2$Sb${}_2$, BaNi${}_2$V${}_2$O${}_8$, and Bi${}_3$Mn${}_4$O${}_{12}$(NO${}_3$).

7 pages, 7 figures. Published version

References in corpus (15)

• Observation of the Magnon Hall Effect
• Line of Dirac Nodes in Hyper-Honeycomb Lattices
• Tunable magnon Weyl points in ferromagnetic pyrochlores
• Signature of magnon Nernst effect in an antiferromagnetic insulator
• Topological spin excitations observed in a three-dimensional antiferromagnet
• Discovery of coexisting Dirac and triply degenerate magnons in a three-dimensional antiferromagnet
• Disordered Ground State and Magnetic Field-Induced Long-Range Order in an S=3/2 Antiferromagnetic Honeycomb Lattice Compound Bi3Mn4O12(NO3)
• Chiral anomaly of Weyl magnons in stacked honeycomb ferromagnets
• Magnon nodal-line semimetals and drumhead surface states in anisotropic pyrochlore 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
• CaMn${}_2$Sb${}_2$: Spin waves on a frustrated antiferromagnetic honeycomb lattice
• Spin Hall and Nernst effects of Weyl magnons
• Investigation of the spin-1 honeycomb antiferromagnet BaNi${}_2$V${}_2$O${}_8$ with easy plane anisotropy
• Neutron Scattering Signatures of Magnon Weyl Points

Cited by in corpus (6)

• Interaction-stabilized topological magnon insulator in ferromagnets
• Moiré magnons in twisted bilayer magnets with collinear order
• Spin Seebeck and Spin Nernst Effects of Magnons in Noncollinear Antiferromagnetic Insulators
• A Perspective on Magnon Spin Nernst Effect in Antiferromagnets
• Magnon magic angles and tunable Hall conductivity in 2D twisted ferromagnetic bilayers
• A new class of nonreciprocal spin waves on the edges of 2D antiferromagnetic honeycomb nanoribbons