Topological Magnetoelastic Excitations in Non-Collinear Antiferromagnets

Abstract

We study the topological property of the magnetoelastic excitation in non-collinear antiferromagnets. As a toy model, we consider the magnon-phonon coupling in a triangular antiferromagnet with a $120^{\circ }$ Nèel order. We find that in the presence of out-of-plane external magnetic field, the magnon-polaron bands, which arise from hybridization of magnons and phonons, can carry Chern number, even though the individual magnon and phonon bands are topologically trivial. Large Berry curvature is induced from the anti-crossing regions between the magnon and phonon bands, which renormalizes the thermal Hall conductivity of phonon bands. To compute the Berry curvature and Chern number of magnon-polarons, we give a simple algorithm to diagonalize magnetoelastic Hamiltonian without diagonalizing the phonon Hamiltonian, by mapping the problem to the diagonalization of bosonic Bogoliubov-de-Gennes (BdG) Hamiltonian. This is necessary because the contribution to the Berry curvature from phonon cannot be properly captured if we compute the Berry curvature from magnetoelastic Hamiltonian whose phonon sector has been already diagonalized.

arXiv comment20 pages, 10 figures

References in corpus (29)

• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• Observation of the Magnon Hall Effect
• Theory of Thermal Hall Effect in Quantum Magnets
• Long range Neel order in the triangular Heisenberg model
• Theoretical prediction of rotating magnon wavepacket in ferromagnets
• Topological chiral magnonic edge mode in a magnonic crystal
• Neel order in square and triangular lattice Heisenberg models
• Topological Nature of the Phonon Hall Effect
• Acoustic spin pumping as the origin of the long-range spin Seebeck effect
• Rotational motion of magnon and thermal Hall effect
• Spin pumping with coherent elastic waves
• Spin-waves in triangular lattice antiferromagnet: decays, spectrum renormalization, and singularities
• Symmetry breaking due to Dzyaloshinsky-Moriya interactions in the kagome lattice
• Magnon spin Nernst effect in antiferromagnets
• Magnetization plateaus in frustrated antiferromagnetic quantum spin models
• Berry Curvature and Phonon Hall Effect
• Excitation spectra of the spin-1/2 triangular-lattice Heisenberg antiferromagnet
• Theory of Phonon Hall Effect in Paramagnetic Dielectrics
• Coherent elastic excitation of spin waves
• Magnon-polaron transport in magnetic insulators
• Phonon Magnetochiral Effect
• Laser-induced spatiotemporal dynamics of magnetic films
• Spontaneous decays of magneto-elastic excitations in noncollinear antiferromagnet (Y,Lu)MnO3
• Berry curvature in magnon-phonon hybrid systems
• Chiral Phonon Transport Induced by Topological Magnons
• Spin torque and Nernst effects in Dzyaloshinskii-Moriya ferromagnets
• Inverse Edelstein effect induced by magnon - phonon coupling
• The phonon Hall effect: theory and application
• Renormalization of spin excitations in hexagonal HoMnO3 by magnon-phonon coupling

Cited by in corpus (47)

• Topological Magnons: A Review
• Thermal Hall Effect Induced by Magnon-Phonon Interactions
• Topological insulators and semimetals in classical magnetic systems
• Topological Magnon-Phonon Hybrid Excitations in Two-Dimensional Ferromagnets with Tunable Chern Numbers
• Chirality selective magnon-phonon hybridization and magnon-induced chiral phonons in a layered zigzag antiferromagnet
• Thermal Hall effect, spin Nernst effect, and spin density induced by thermal gradient in collinear ferrimagnets from magnon-phonon interaction
• Anomalous Thermal Hall Effect in an Insulating van der Waals Magnet VI3
• SU(3) Topology of Magnon-Phonon Hybridization in 2D Antiferromagnets
• Phonon angular momentum Hall effect
• Tailoring Dzyaloshinskii-Moriya interaction in a transition metal dichalcogenide by dual-intercalation
• Magnon topology and thermal Hall effect in trimerized triangular lattice antiferromagnet
• Direct observation of topological magnon polarons in a multiferroic material
• Phonon helicity induced by electronic Berry curvature in Dirac materials
• Topological magnetic excitations
• Unified bulk semiclassical theory for intrinsic thermal transport and magnetization currents
• Dzyaloshinskii-Moriya Induced Topological Magnon-Phonon Hybridization in 2D Antiferromagnetic Insulators with Tunable Chern Numbers
• Evidence for magnon-phonon coupling in the topological magnet Cu${}_3$TeO${}_6$
• Magnetic field control of topological magnon-polaron bands in two-dimensional ferromagnets
• Magnetoelastic coupling enabled tunability of magnon spin current generation in 2D antiferromagnets
• Magnon-Plasmon Hybridization Mediated by Spin-Orbit Interaction in Magnetic Materials
• Magnetic field-controlled lattice thermal conductivity in MnBi2Te4
• Magnonic Analogue of Edelstein Effect in Antiferromagnetic Insulators
• Tunable topological magnon-polaron states and anomalous Hall phenomena in two-dimensional ferromagnetic insulators
• Thermal Hall effect in a van der Waals ferromagnet CrI3
• Topological spin-plasma waves
• Tunable large spin Nernst effect in a two-dimensional magnetic bilayer
• Thermal Hall responses in frustrated honeycomb spin systems
• Topological waveguide based on metamaterials of magnetic solitons
• Berry curvature for coupled waves of magnons and electromagnetic waves
• Diagonal and off-diagonal thermal conduction with resonant phonon scattering in $N{i}_{3}Te{O}_6$
• Weyl-triplons in SrCu2(BO3)2
• Sizable suppression of magnon Hall effect by magnon damping in Cr${}_2$Ge${}_2$Te${}_6$
• Intrinsic Magnon Nernst Effects in Pyrochlore Iridate Thin Films
• Intrinsic topological magnons in arrays of magnetic dipoles
• Coherent strong-coupling of terahertz magnons and phonons in a Van der Waals antiferromagnetic insulator
• Exchange striction induced thermal Hall effect in van der Waals antiferromagnet MnPS${}_3$
• Chiral phonons induced from spin dynamics via magnetoelastic anisotropy
• Large Thermal Hall Effect in MnPS${}_3$
• Topological paramagnetic excitons of localized f electrons on the honeycomb lattice
• Topological magnon-polaron transport in a bilayer van der Waals magnet
• Topological classifications of quadratic bosonic excitations in closed and open systems with examples
• Tunable magnon band topology and magnon orbital Nernst effect in noncollinear antiferromagnets
• Heat conduction in magnetic insulators via hybridization of acoustic phonons and spin-flip excitations
• Topological characterization of magnon-polaron bands and thermal Hall conductivity in a frustrated kagome antiferromagnet
• Flavor Nernst effects in quantum paramagnets
• Weyl excitations via helicon-phonon mixing in conducting materials
• Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions