Stacking Dependence of the Chern Number in a Ferromagnetic Topological Magnon Insulator Heterostructure

Recent advances in topological materials have shown that 2D magnetic insulators can be promising hosts for topologically non-trivial magnons. In this work we focus on the topological magnetic features of these materials as they might be grown in the few-layer regime. Particularly, we explore the AA and AB stacking dependencies on the Chern numbers of a layered ferromagnetic honeycomb topological magnon insulator heterostructure. Based on our bandstructure and Berry curvature calculations we show that the evolution of the Chern numbers depend non-trivially on the number of layers and the stacking arrangement, AA or AB. Additionally, we also discuss the physical consequences of sandwiching topological and non-topological ferromagnetic layers.