  Topological excitations in magnetically ordered systems have attracted much
attention lately. We report on topological magnon bands in ferromagnetic
Shastry-Sutherland lattices whose edge modes can be put to use in magnonic
devices. The synergy of Dzyaloshinskii-Moriya interactions and geometrical
frustration is responsible for the topologically non-trivial character. Using
exact spin wave theory we determine the finite Chern numbers of the magnon
bands which give rise to chiral edge states. The quadratic band crossing point
vanishes due the present anisotropies and the system enters a topological
phase. We calculate the thermal Hall conductivity as an experimental signature
of the topological phase. Different promising compounds are discussed as
possible physical realizations of ferromagnetic Shastry-Sutherland lattices
hosting the required antisymmetric Dzyaloshinskii-Moriya interactions. Routes
to applications in magnonics are pointed out.
