The chiral Hall effect in canted ferromagnets and antiferromagnets

TL;DR

This paper introduces a new chiral Hall effect in canted magnetic systems, revealing how spin canting and vector chirality influence Hall responses, offering novel tools for characterizing complex magnetic structures.

Contribution

The study uncovers a previously unrecognized chiral Hall effect in canted spin systems, linking it to symmetry and vector chirality, expanding understanding of Hall phenomena in complex magnets.

Findings

Chiral Hall effect depends on the sense of vector chirality.

The effect is sensitive to symmetry properties of the magnetic system.

Chiral magneto-optical effects can be used to probe magnetic chirality.

Abstract

The anomalous Hall effect has been indispensable in our understanding of numerous magnetic phenomena. This concerns both ferromagnetic materials, as well as diverse classes of antiferromagnets, where in addition to the anomalous and crystal Hall effects, the topological Hall effect in non-coplanar antiferromagnets has been a subject of intensive research in the past decades. Here, we uncover a new flavour of the anomalous Hall effect in canted spin systems. Using advanced theoretical tools we demonstrate that upon canting, the anomalous Hall effect acquires a contribution which is sensitive to the sense of imprinted vector chirality among spins. We explore the origins and basic properties of corresponding chiral Hall effect, and closely tie it to the symmetry properties of the system. Our findings suggest that the chiral Hall effect and corresponding chiral magneto-optical effects emerge as novel versatile tools in characterizing an interplay of structure and chirality in complex magnets, as well as in tracking their chiral dynamics and fluctuations.