Large-Scale Discovery of Topological Magnons

Progress over the past decade has given rise to emergence of topological magnon models that exhibit various topologically-nontrivial phases analogous to their electronic counterpart. However, to make predictions of material realization of such models is a severe challenge given the lack of neutron scattering data. Here, we utilize the recently-developed theories of Magnetic Topological Quantum Chemistry and Symmetry Indicators to perform an automated full search among all magnetic structures in Bilbao Crystallographic Server that, upon a perturbation, induce at least one nontrivial topological gap in all their possible allowed band structures compatible with symmetries. This gives a complete classification for current BCS magnetic materials with all different types of perturbation-induced topological features they exhibit. Our work results in the discovery of over 300 candidate materials to host field-induced topological magnons.