Magnon nodal-line semimetals and drumhead surface states in anisotropic pyrochlore ferromagnets
arXiv:1609.06131 · doi:10.1103/PhysRevB.95.014418
Abstract
We introduce a new type of topological magnon matter: the magnonic pendant to electronic nodal-line semimetals. Magnon spectra of anisotropic pyrochlore ferromagnets feature twofold degeneracies of magnon bands along a closed loop in reciprocal space. These magnon nodal lines are topologically protected by the coexistence of inversion and time-reversal symmetry; they require the absence of spin-orbit interaction (no Dzyaloshinskii-Moriya interaction). We calculate the topological invariants of the nodal lines and show that details of the associated magnon drumhead surface states depend strongly on the termination of the surface. Magnon nodal-line semimetals complete the family of topological magnons in three-dimensional ferromagnetic materials.
arXiv comment5 pages, 4 figures, submission to PRL intended
References in corpus (29)
- Topological Insulators
- Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
- Topological Insulators in Three Dimensions
- Topological nodal semimetals
- Magnetic Pyrochlore Oxides
- Discovery of a Weyl Fermion semimetal state in NbAs
- Dirac Line Nodes in Inversion Symmetric Crystals
- Topological Nodal Line Semimetal and Dirac Semimetal State in Antiperovskite CuPdN
- Topological Node-Line Semimetal in Three Dimensional Graphene Networks
- Topological nodal line semimetals
- Observation of the Magnon Hall Effect
- Theory of Thermal Hall Effect in Quantum Magnets
- Theoretical prediction of rotating magnon wavepacket in ferromagnets
- Topological Magnon Insulator in Insulating Ferromagnet
- Rotational motion of magnon and thermal Hall effect
- Topological nodal-line semimetals in alkaline-earth stannides, germanides and silicides
- A first theoretical realization of honeycomb topological magnon insulator
- Weyl magnons in breathing pyrochlore antiferromagnets
- Effect of lattice geometry on magnon Hall effect in ferromagnetic insulators
- Tunable magnon Weyl points in ferromagnetic pyrochlores
- Three-dimensional Topological Insulators on the Pyrochlore Lattice
- Ordering in the pyrochlore antiferromagnet due to Dzyaloshinsky-Moriya interactions
- Electronic band structure and exchange coupling constants in ACr2X4 spinels
- Thermal Hall Effect of Spins in a Paramagnet
- Band-Contact Lines in Electron Energy Spectrum of Graphite
- Topological Insulators from Spontaneous Symmetry Breaking Induced by Electron Correlation on Pyrochlore Lattices
- Spin wave spectrum of the quantum ferromagnet on the pyrochlore lattice Lu2V2O7
- Magnon Hall Effect without Dzyaloshinskii-Moriya Interaction
- Dzyaloshinsky-Moriya-Induced Order in the Spin-Liquid Phase of the S=1/2 Pyrochlore Antiferromagnet
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- Topological Magnons: A Review
- Dirac magnons in honeycomb ferromagnets
- Topological Magnons and Edge States in Antiferromagnetic Skyrmion Crystals
- Magnonic Weyl semimetal in pyrochlore ferromagnets
- Interaction-stabilized topological magnon insulator in ferromagnets
- Thermal Hall effect and topological edge states in a square lattice antiferromagnet
- Spin-Space Groups and Magnon Band Topology
- Bulk and edge spin transport in topological magnon insulators
- Mixed topological semimetals driven by orbital complexity in two-dimensional ferromagnets
- Chiral anomaly of Weyl magnons in stacked honeycomb ferromagnets
- Topological magnon bands in the zigzag and stripy phases of antiferromagnetic honeycomb lattice
- Floquet Topological Magnons
- 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
- Magnonic Analogs of Topological Dirac Semimetals
- Topological magnetic excitations
- Dirac magnons, nodal lines, and nodal plane in elemental gadolinium
- Universal phase transition and band structures for spinless nodal-line and Weyl semimetals
- Dipolar spin waves in uniaxial easy-axis antiferromagnets: A natural topological nodal-line semimetal
- Magnon corner states in twisted bilayer honeycomb magnets
- Topological Magnons in a One-dimensional Itinerant Flatband Ferromagnet
- Topological Hybrids of Magnons and Magnon Bound Pairs
- Weyl and nodal ring magnons in three-dimensional honeycomb lattices
- Magnonic triply-degenerate nodal points
- Topological magnon nodal-lines and absence of magnon spin Nernst effect in layered collinear antiferromagnets
- Type-II Dirac points and Dirac nodal loops on the magnons of square-hexagon-octagon lattice
- Krein-unitary Schrieffer-Wolff transformation and band touchings in bosonic Bogoliubov-de Gennes and other Krein-Hermitian Hamiltonians
- Two-dimensional Dirac nodal loop magnons in collinear antiferromagnets
- Magnetic field induced topological nodal-lines in triplet excitations of frustrated antiferromagnet CaVO
- Exotic topological point and line nodes in the plaquette excitations of a frustrated Heisenberg antiferromagnet on the honeycomb lattice
- Topological semimetals and insulators in three-dimensional honeycomb materials
- Predicted versatile topological nodal magnons in Tb-based icosahedral quasicrystal 1/1 approximants
- Magnon bands in pyrochlore slabs with Heisenberg exchange and anisotropies
- Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions
- Nodal-line semimetal superlattices