Existence of Chern Gaps in Kagome Magnets RMn$_6$Ge$_6$ (R = Nd, Sm, Tb, Dy, Ho, Er, Yb, Lu)

Abstract

Kagome Chern Magnets are lattices which host a Chern state when they are non-magnetic and a Chern Gap when they become magnetic. These Chern gaps can host fractional Chern Fermions. There has been extensive research in the RMn$_6$Sn$_6$ system which hosts a small Chern gap with many trivial bands surrounding them. RMn$_6$Ge$_6$ is studied theoretically in order to find a more insulating Kagome magnetic with fewer bands near the Chern gap.