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

TL;DR

This paper investigates the presence of Chern gaps in magnetic Kagome lattices, specifically in the RMn6Ge6 family, aiming to identify more insulating materials with fewer trivial bands near the Chern gap.

Contribution

The study provides a theoretical analysis of RMn6Ge6 compounds to identify Kagome magnets with clearer Chern gaps and reduced trivial band interference compared to RMn6Sn6.

Findings

Identification of potential Chern gaps in RMn6Ge6 compounds

Fewer trivial bands near the Chern gap in RMn6Ge6

Enhanced insulating properties in RMn6Ge6 materials

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.