Metallic collinear antiferromagnets with mirror-symmetric and asymmetric spin-splittings

TL;DR

This paper theoretically explores a new class of two-dimensional metallic antiferromagnets with unique mirror-symmetric or asymmetric spin-splittings, predicting associated anomalous Hall effects based on their symmetry properties.

Contribution

It introduces a novel theoretical framework for metallic antiferromagnets with specific symmetry conditions leading to distinct spin-splitting behaviors and associated Hall effects.

Findings

Mirror-symmetric spin-splitting due to combined time-reversal and mirror symmetry.

Asymmetric spin-splitting in systems lacking sublattice symmetries.

Prediction of anomalous spin Hall and Hall effects in these systems.

Abstract

In this paper we theoretically describe a distinct class of two-dimensional N\'{e}el ordered metallic antiferromagnets on a honeycomb-like lattice in which the two sublattices are connected only by a combination of time-reversal and mirror symmetry operations. As a result of this symmetry, conducting fermions have antiferromagnetic spin-splitting consistent with the symmetry, the mirror-symmetric spin-splitting. It is shown that the anomalous spin Hall effect is expected in such systems. We also consider a system in which there are no symmetries between the sublattices and obtain asymmetric spin-splitting. Such systems are expected to have the anomalous Hall effect.