Weyl magnons in noncoplanar stacked kagome antiferromagnets

Abstract

Weyl nodes have been experimentally realized in photonic, electronic, and phononic crystals. However, magnonic Weyl nodes are yet to be seen experimentally. In this paper, we propose Weyl magnon nodes in noncoplanar stacked frustrated kagome antiferromagnets, naturally available in various real materials. Most crucially, the Weyl nodes in the current system occur at the lowest excitation and possess a topological (anomalous) thermal Hall effect, therefore they are experimentally accessible at low temperatures due to the population effect of bosonic quasiparticles. In stark contrast to other magnetic systems, the current Weyl nodes do not rely on time-reversal symmetry breaking by the magnetic order. Rather, they result from explicit macroscopically broken time reversal symmetry by the scalar spin chirality of noncoplanar spin textures, and can be generalized to chiral spin liquid states. Moreover, the scalar spin chirality gives a real space Berry curvature which is not available in previously studied magnetic Weyl systems. We show the existence of magnon arc surface states connecting projected Weyl magnon nodes on the surface Brillouin zone. We also uncover the first realization of triply-degenerate nodal magnon point in the non-collinear regime with zero scalar spin chirality.

12 pages, 8 figures. Final version to appear in Phys. Rev. B (2018)

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• Topological Magnons: A Review
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• Topological magnon insulator spin excitations in the two-dimensional ferromagnet CrBr${}_3$
• Topological Phases in Magnonics
• Magnon topology and thermal Hall effect in trimerized triangular lattice antiferromagnet
• Topological magnons with nodal-line and triple-point degeneracies: Implications for thermal Hall effect in pyrochlore iridates
• Topological magnetic excitations
• Spin Hall and Nernst effects of Weyl magnons
• Chiral topological insulator of magnons
• Magnonic Weyl states in Cu2OSeO3
• Dipolar spin waves in uniaxial easy-axis antiferromagnets: A natural topological nodal-line semimetal
• Excitation of magnon spin photocurrents in antiferromagnetic insulators
• Dirac surface states in magnonic analogs of topological crystalline insulators
• Magnon quantum anomalies in Weyl ferromagnets
• Floquet Weyl Magnons
• Magnonic Floquet Hofstadter Butterfly
• CrRhAs: a member of a large family of metallic kagome antiferromagnets
• Weyl-triplons in SrCu2(BO3)2
• Topological Weyl magnons and thermal Hall effect in layered honeycomb ferromagnets
• Dirac Hamiltonians for bosonic spectra
• Dirac cones and mass terms in bosonic spectra
• Imbert-Fedorov shift in pseudospin-$N/2$ semimetals and nodal-line semimetals
• Topological magnons in one-dimensional ferromagnetic Su-Schrieffer-Heeger model with anisotropic interaction
• Crossover from Diffusive to Superfluid Transport in Frustrated Magnets
• Topological thermal Hall effect due to Weyl magnons
• Topological magnon nodal-lines and absence of magnon spin Nernst effect in layered collinear antiferromagnets
• Multipolar edge states in the breathing kagome model
• Magnon Hall effect in antiferromagnetic lattices
• Two-dimensional Dirac nodal loop magnons in collinear antiferromagnets
• Photo-induced Floquet Weyl magnons in noncollinear antiferromagnets
• Topological transitions of spin-excitations in insulating chiral antiferromagnets
• Hydrostatic and chemical pressure driven crossover from commensurate to the incommensurate state of the Weyl semimetal Mn${}_{3+x}$Sn${}_{1-x}$
• Bose-Einstein condensate of Dirac magnons: Pumping and collective modes
• Bosonic Weyl excitations induced by $p$-orbital interactions in a cubic optical lattice
• Classification of magnon thermal Hall systems based on U(1) to non-Abelian gauge fields
• Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions
• Type-II Weyl Excitation in Vortex Arrays
• Multiple topological phases of magnons induced by Dzyaloshinskii-Moriya and pseudodipolar anisotropic exchange interactions in Kagome ferromagnets