Magnonic Weyl semimetal in pyrochlore ferromagnets

Abstract

Topological states of matter have been a subject of intensive studies in recent years because of their exotic properties such as the topologically protected edge and surface states. The initial studies were exclusively for electron systems. It is now known that topological states can also exist for other particles. Indeed, topologically protected edge states have already been found for phonons and photons. In spite of active searching for topological states in many fields, the studies in magnetism are relatively rare although topological states are apparently important and useful in magnonics. Here we show that the pyrochlore ferromagnets with the Dzyaloshinskii-Moriya interaction are intrinsic magnonic Weyl semimetals. Similar to the electronic Weyl semimetals, the magnon bands in a magnonic Weyl semimetal are nontrivially crossing in pairs at special points (called Weyl nodes) in momentum space. The equal energy contour around the Weyl nodes gives rise to the Fermi arcs on sample surfaces due to the topologically protected surface states between each pair of Weyl nodes. Additional Weyl nodes and Fermi arcs can be generated in lower energy magnon bands when an anisotropic exchange interaction is introduced.

7 pages, 3 figures

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• Spin wave spectrum of the quantum ferromagnet on the pyrochlore lattice Lu2V2O7

Cited by in corpus (64)

• Topological Magnons: A Review
• Magnon transport in quasi-two-dimensional van der Waals antiferromagnets
• Magnonic topological insulators in antiferromagnets
• Magnon thermal Hall effect in kagome antiferromagnets with Dzyaloshinskii-Moriya interactions
• Topological insulators and semimetals in classical magnetic systems
• Interaction-stabilized topological magnon insulator in ferromagnets
• 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
• Chiral anomaly of Weyl magnons in stacked honeycomb ferromagnets
• 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
• Topological Phases in Magnonics
• Topological magnon bands in the zigzag and stripy phases of antiferromagnetic honeycomb lattice
• Higher-order topological solitonic insulators
• Weyl magnons in pyrochlore antiferromagnets with all-in-all-out orders
• Weyl magnons in noncoplanar stacked kagome antiferromagnets
• 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
• Magnonic Analogs of Topological Dirac Semimetals
• Topological magnetic excitations
• Photoinduced Topological Phase Transitions in Topological Magnon Insulators
• Disorder-Induced Quantum Phase Transitions in Three-Dimensional Second-Order Topological Insulators
• Experimental realization of two-dimensional weak topological insulators
• Dirac magnons, nodal lines, and nodal plane in elemental gadolinium
• Spin Hall and Nernst effects of Weyl magnons
• Topological thermal Hall effect driven by fluctuation of spin chirality in frustrated antiferromagnets
• Chiral topological insulator of magnons
• Skyrmion Based Magnonic Crystals
• Calculated magnetic exchange interactions in Dirac magnon material Cu3TeO6
• Dipolar spin waves in uniaxial easy-axis antiferromagnets: A natural topological nodal-line semimetal
• Magnon corner states in twisted bilayer honeycomb magnets
• Dirac surface states in magnonic analogs of topological crystalline insulators
• Topological Magnons in a One-dimensional Itinerant Flatband Ferromagnet
• Magnon quantum anomalies in Weyl ferromagnets
• Floquet Weyl Magnons
• Instability and topological robustness of Weyl semimetals against Coulomb interaction
• Dirac Hamiltonians for bosonic spectra
• Weyl-triplons in SrCu2(BO3)2
• Topological Weyl magnons and thermal Hall effect in layered honeycomb ferromagnets
• Dirac cones and mass terms in bosonic spectra
• Magnonic triply-degenerate nodal points
• Imbert-Fedorov shift in pseudospin-$N/2$ semimetals and nodal-line semimetals
• Hermitian chiral boundary states in non-Hermitian topological insulators
• Third-order topological insulator in three-dimensional lattice of magnetic vortices
• Asymmetric Ferromagnetic Criticality in Pyrochlore Ferromagnet Lu${}_2$V${}_2$O${}_7$
• Topological thermal Hall effect due to Weyl magnons
• Topological magnon nodal-lines and absence of magnon spin Nernst effect in layered collinear antiferromagnets
• Magnon Hall effect in antiferromagnetic lattices
• Non-Quantized Edge Channel Conductance and Zero Conductance Fluctuation in Non-Hermitian Chern Insulators
• Determining the range of magnetic interactions from the relations between magnon eigenvalues at high-symmetry k points
• Topological transitions of spin-excitations in insulating chiral antiferromagnets
• Electronic scattering, focusing, and resonance by a spherical barrier in Weyl semimetals
• Topological Aspects of Antiferromagnets
• Bosonic Weyl excitations induced by $p$-orbital interactions in a cubic optical lattice
• Magnon bands in pyrochlore slabs with Heisenberg exchange and anisotropies
• Topological properties of multilayer magnon insulators
• Type-II Weyl Excitation in Vortex Arrays
• 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