Magnonic Analogs of Topological Dirac Semimetals

Abstract

In electronic topological Dirac semimetals the conduction and valence bands touch at discrete points in the Brillouin zone and form Dirac cones. They are robust against spin-orbit interaction (SOI) and protected by crystal symmetries. They can be driven to different topological phases by breaking the symmetries. In the low-temperature quantum magnetic systems the magnon dispersions have similar band structures as the electron dispersions, but with positive definite energies. In these magnetic systems SOI manifests in the form of the Dzyaloshinskii-Moriya interaction (DMI). In this Communication, we identify two types of {\it magnonic Dirac semimetals} in quasi-two-dimensional quantum magnets. The first type is a consequence of topological phase transition between trivial and topological magnon insulators and the second type is intrinsic and protected by crystal symmetries. They are robust against DMI and can be driven to a topological magnon phase by breaking the symmetries. They can be manipulated by an external magnetic field and accessible by the bulk sensitive inelastic neutron scattering experiments.

14 pages, 10 figures. Accepted in Journal of Physics Communications with modified title

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Cited by in corpus (27)

• Dirac and nodal line magnons in three-dimensional antiferromagnets
• Magnon thermal Hall effect in kagome antiferromagnets with Dzyaloshinskii-Moriya interactions
• Discovery of coexisting Dirac and triply degenerate magnons in a three-dimensional antiferromagnet
• Thermal Hall effect and topological edge states in a square lattice antiferromagnet
• Bulk and edge spin transport in topological magnon insulators
• Topological magnon insulator spin excitations in the two-dimensional ferromagnet CrBr${}_3$
• Nonlinear magnon spin Nernst effect in antiferromagnets and strain-tunable pure spin current
• ${\mathbb{Z}}_2$ Topological Invariant for Magnon Spin Hall Systems
• Intrinsic spin Nernst effect of magnons in a noncollinear antiferromagnet
• Non-Hermiticity and topological invariants of magnon Bogoliubov-de Gennes systems
• Dirac Magnon Nodal Loops in Quasi-2D Quantum Magnets
• Topological magnons with nodal-line and triple-point degeneracies: Implications for thermal Hall effect in pyrochlore iridates
• Three-dimensional topological magnon systems
• Damped Dirac magnon in a metallic kagome antiferromagnet FeSn
• Dirac magnons, nodal lines, and nodal plane in elemental gadolinium
• Competing phases and topological excitations of spin-one pyrochlore antiferromagnets
• Calculated magnetic exchange interactions in Dirac magnon material Cu3TeO6
• Stacking-dependent topological magnons in bilayer CrI${}_3$
• Evolution of magnetic Dirac bosons in a honeycomb lattice
• \textit{Ab initio} study on spin fluctuations of itinerant kagome magnet FeSn
• Acousto-magnonic spin Hall effect in honeycomb antiferromagnets
• Diversified Ruderman-Kittel-Kasuya-Yosida Interactions in a Nonsymmorphic Crystal
• High-Field Expansion Approach to Kagome Antiferromagnets with Dzyaloshinskii-Moriya Interactions
• Impact of Dzyaloshinskii-Moriya and anisotropic exchange interactions on the cubic kagome antiferromagnets Mn${}_3$X and Mn${}_3$AB
• Bose-Einstein condensate of Dirac magnons: Pumping and collective modes
• Determining the range of magnetic interactions from the relations between magnon eigenvalues at high-symmetry k points
• Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions