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The existence of the magnetostatic surface spin waves in ferromagnets, knownas Damon-Eshbach mode, was recently demonstrated to originate from the topologyof the dipole-dipole interaction. In this work, we study the topologicalcharacteristics of magnons in easy-axis antiferromagnets with uniaxialanisotropy. The dipolar spin waves are found to be, driven by the dipole-dipoleinteraction, in a topological nodal-line semimetal phase, which hostsDamon-Eshbach-type surface modes due to the bulk-edge correspondence. The longwavelength character of dipolar spin waves makes our proposal valid for anynatural uniaxial easy-axis antiferromagnet, and thus enriches the candidates oftopological magnonic materials. In contrast to the nonreciprocal property inferromagnetic case, the surface modes with opposite momentum coexist at eachsurface, but with different chiralities. Such a chirality-momentum orspin-momentum locking, similar to that of electronic surface states intopological insulators, offers the opportunity to design novel chirality-basedmagnonic devices in antiferromagnets.

Dipolar spin waves in uniaxial easy-axis antiferromagnets: A natural topological nodal-line semimetal