Topological waveguide based on metamaterials of magnetic solitons

We theoretically investigate coupled gyration modes of magnetic solitons whose distances to the nearest neighbors are staggered. In a one-dimensional bipartite lattice, analogous to the Su-Schrieffer-Heeger model, there is a mid-gap gyration mode bounded at the domain wall connecting topologically distinct two phases. As a technological application, we show that a one-dimensional domain-wall string in a two-dimensional soliton lattice can serve as a topological waveguide of magnetic excitations, which offers functionalities of a signal localization and a selective propagation of the frequency modes. Our result offers an alternative way to control of the magnetic excitation modes by using a magnetic metamaterial for future spintronic devices.