The Chern gap is a unique topological feature that can host non-abelian particles. The Kagome lattice forms a chern insulator with no gap. Upon the inclusion of magnetism the Kagome system hosts a Chern gap at the K points in the lattice. In this work, the effect of Ge doping on HoMn$_6$Sn$_{ 6}$ is investigated. It is seen that with increased doping, a multi-stack Chern gap in formed in HoMn$_6$Sn$_{ 6-x}$Ge$_x$. In addition, the Chern gaps are much more pronounced and larger in energy in HoMn$_6$Ge$_{ 6}$ then HoMn$_6$Sn$_{ 6}$.
Categories: cond-mat.str-el