Dirac and nodal line magnons in three-dimensional antiferromagnets

Abstract

We study the topological properties of magnon excitations in three-dimensional antiferromagnets, where the ground state configuration is invariant under time-reversal followed by space-inversion ($PT$-symmetry). We prove that Dirac points and nodal lines, the former being the limiting case of the latter, are the generic forms of symmetry-protected band crossings between magnon branches. As a concrete example, we study a Heisenberg spin model for a "spin-web" compound, Cu${}_3$TeO${}_6$, and show the presence of the magnon Dirac points assuming a collinear magnetic structure. Upon turning on symmetry-allowed Dzyaloshinsky-Moriya interactions, which introduce a small non-collinearity in the ground state configuration, we find that the Dirac points expand into nodal lines with nontrivial $Z_2$-topological charge, a new type of nodal lines unpredicted in any materials so far.

PRL accepted version

References in corpus (5)

• Topological Photonics
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Classification of stable three-dimensional Dirac semimetals with nontrivial topology
• Topological nodal line semimetals
• Topological Semimetals

Cited by in corpus (77)

• Catalogue of Topological Electronic Materials
• Higher-Order Topology, Monopole Nodal Lines, and the Origin of Large Fermi Arcs in Transition Metal Dichalcogenides XTe${}_2$ (X=Mo,W)
• Topological Semimetals from first-principles
• Topological Magnons: A Review
• Topological Magnetic Phase in the Candidate Weyl Semimetal CeAlGe
• Chiral photocurrent in parity-violating magnet and enhanced response in topological antiferromagnet
• Spin Space Groups: Full Classification and Applications
• Phononic Helical Nodal Lines with $\mathcal{P}\mathcal{T}$ Protection in MoB${}_2$
• Magnon thermal Hall effect in kagome antiferromagnets with Dzyaloshinskii-Moriya interactions
• Diagnosis for topological semimetals in the absence of spin-orbital coupling
• Catalog of Unconventional Magnons in Collinear Magnets
• Topological spin excitations observed in a three-dimensional antiferromagnet
• Topological transport in Dirac nodal-line semimetals
• Interaction-stabilized topological magnon insulator in ferromagnets
• Discovery of coexisting Dirac and triply degenerate magnons in a three-dimensional antiferromagnet
• Non-abelian topology of nodal-line rings in $\mathcal{P}\mathcal{T}$-symmetric systems
• Spin-Space Groups and Magnon Band Topology
• Bulk and edge spin transport in topological magnon insulators
• Topological carbon materials: a new perspective
• 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
• Topological magnon bands in a room temperature Kagome magnet
• Exhaustive constructions of effective models in 1651 magnetic space groups
• Discovering topological surface states of Dirac points
• Conversion rules for Weyl points and nodal lines in topological media
• Topological Hall effect in the antiferromagnetic Dirac semimetal EuAgAs
• Charge-4 Weyl point: Minimum lattice model and chirality-dependent properties
• Weyl magnons in pyrochlore antiferromagnets with all-in-all-out orders
• Topological magnons with nodal-line and triple-point degeneracies: Implications for thermal Hall effect in pyrochlore iridates
• Almost ideal nodal-loop semimetal in monoclinic CuTeO${}_3$ material
• Thermal Evolution of Dirac Magnons in the Honeycomb Ferromagnet CrBr${}_3$
• Topological magnetic excitations
• Elastic Gauge Fields and Hall Viscosity of Dirac Magnons
• Dirac magnons, nodal lines, and nodal plane in elemental gadolinium
• Competing phases and topological excitations of spin-one pyrochlore antiferromagnets
• Euler Obstructed Cooper Pairing: Nodal Superconductivity and Hinge Majorana Zero Modes
• Magnonic Weyl states in Cu2OSeO3
• Evidence for magnon-phonon coupling in the topological magnet Cu${}_3$TeO${}_6$
• Calculated magnetic exchange interactions in Dirac magnon material Cu3TeO6
• Dipolar spin waves in uniaxial easy-axis antiferromagnets: A natural topological nodal-line semimetal
• ${\mathbb{Z}}_2$ topological quantum paramagnet on a honeycomb bilayer
• Magnon corner states in twisted bilayer honeycomb magnets
• A diagnosis scheme for topological degeneracies at high-symmetry momenta
• Strain-Induced Topological Magnon Phase Transitions: Applications to Kagome-Lattice Ferromagnets
• Dirac surface states in magnonic analogs of topological crystalline insulators
• Hybrid topological magnon-phonon modes in honeycomb and kagome lattices
• Topological Magnons in a One-dimensional Itinerant Flatband Ferromagnet
• Chern numbers of topological phonon band crossing determined with inelastic neutron scattering
• Floquet Weyl Magnons
• Hinge Magnons from Non-collinear Magnetic Order in Honeycomb Antiferromagnet
• Nonvolatile Magnonics in Bilayer Magnetic Insulators
• Magnonic triply-degenerate nodal points
• Dirac Hamiltonians for bosonic spectra
• Dirac cones and mass terms in bosonic spectra
• Topological Weyl magnons and thermal Hall effect in layered honeycomb ferromagnets
• Squeezing-induced Topological Gap Opening on Bosonic Bogoliubov Excitations
• Topological magnon nodal-lines and absence of magnon spin Nernst effect in layered collinear antiferromagnets
• Topological magnons in Kitaev magnets with finite Dzyaloshinskii-Moriya interaction at high field
• Krein-unitary Schrieffer-Wolff transformation and band touchings in bosonic Bogoliubov-de Gennes and other Krein-Hermitian Hamiltonians
• Spin Quenching and Transport by Hidden Dzyaloshinskii-Moriya Interactions
• Predicting topological materials: symmetry-based indicator theories and beyond
• Two-dimensional Dirac nodal loop magnons in collinear antiferromagnets
• All hourglass bosonic excitations in the 1651 magnetic space groups and 528 magnetic layer groups
• Spin-Reorientation-Driven Linear Magnetoelectric Effect in Topological Antiferromagnet Cu${}_3$TeO${}_6$
• Encyclopedia of emergent particles in three-dimensional crystals
• Magnetic field induced topological nodal-lines in triplet excitations of frustrated antiferromagnet CaV${}_4$O${}_9$
• Dipolar spin-waves and tunable band gap at the Dirac points in the 2D magnet ErBr3
• Neutron scattering off Weyl semimetals
• Topological transitions of spin-excitations in insulating chiral antiferromagnets
• Unusual spin pseudogap behavior in the spin web lattice Cu${}_3$TeO${}_6$ probed by ${}^{125}$Te nuclear magnetic resonance
• Concurrence of topological electrons and magnons in the Kagome ferromagnet CoCu3(OH)6Cl2
• Chirality-selective topological magnon phase transition induced by interplay of anisotropic exchange interactions in honeycomb ferromagnet
• Topological Aspects of Antiferromagnets
• Spin Wave Dispersion of the van der Waals Antiferromagnet NiPS${}_3$
• Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions
• Multiple topological phases of magnons induced by Dzyaloshinskii-Moriya and pseudodipolar anisotropic exchange interactions in Kagome ferromagnets
• Revealing Spin and Spatial Symmetry Decoupling: New Insights into Magnetic Systems with Dzyaloshinskii-Moriya Interaction