Magnon nodal-line semimetals and drumhead surface states in anisotropic pyrochlore ferromagnets

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.

5 pages, 4 figures, submission to PRL intended

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• Dipolar spin waves in uniaxial easy-axis antiferromagnets: A natural topological nodal-line semimetal
• Magnon corner states in twisted bilayer honeycomb magnets
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• Krein-unitary Schrieffer-Wolff transformation and band touchings in bosonic Bogoliubov-de Gennes and other Krein-Hermitian Hamiltonians
• Magnetic field induced topological nodal-lines in triplet excitations of frustrated antiferromagnet CaV${}_4$O${}_9$
• 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