Evolution of the Chern Gap in Chern Magnet HoMn$_6$Sn$_{6-x}$Ge$_x$

TL;DR

This study investigates how Ge doping influences the evolution of the Chern gap in HoMn6Sn6-xGex, revealing larger and more pronounced topological gaps with increased Ge content, which could impact non-abelian particle hosting.

Contribution

It provides new insights into how Ge doping modifies the Chern gap in HoMn6Sn6-xGex, demonstrating the formation of multi-stack gaps and enhanced topological features.

Findings

Multi-stack Chern gaps form with increased Ge doping.

Chern gaps are larger and more pronounced in HoMn6Ge6.

Doping enhances the topological properties of the material.

Abstract

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$_{6}$.