Chirality-induced linear response properties in non-coplanar Mn$_3$Ge

TL;DR

This paper investigates how chiral spin configurations in Mn$_3$Ge influence linear response phenomena, identifying topological contributions by varying spin angles and relativistic effects.

Contribution

It introduces a method to isolate chirality-induced effects in Mn$_3$Ge by varying spin angles and relativistic parameters, highlighting topological contributions to response properties.

Findings

Chirality significantly affects orbital moments and Hall effects.

Topological contributions can be isolated by suppressing spin-orbit coupling.

Response properties vary continuously with spin configuration.

Abstract

Taking the non-collinear antiferromagnetic hexagonal Heusler compound Mn$_3$Ge as a reference system, the contributions to linear response phenomena arising solely from the chiral coplanar and non-coplanar spin configurations are investigated. Orbital moments, X-ray absorption, anomalous and spin Hall effects, as well as corresponding spin-orbit torques and Edelstein polarizations are studied depending on a continuous variation of the polar angle relative to the Kagome planes of corner-sharing triangles between the non-collinear antiferromagnetic and the ferromagnetic limits. By scaling the speed of light from the relativistic Dirac case to the non-relativistic limit the chirality-induced or topological contributions can be identified by suppressing the spin-orbit coupling.