Anomalous Hall effect in metallic collinear antiferromagnets with charge-density wave order

TL;DR

This paper presents two theoretical models demonstrating how charge-density wave order combined with Ne9el antiferromagnetic order and spin-orbit coupling can produce an anomalous Hall effect in metallic collinear antiferromagnets.

Contribution

The paper introduces two new theoretical models showing the emergence of the anomalous Hall effect in metallic collinear antiferromagnets with charge-density wave order, emphasizing the role of spin splitting and spin-orbit coupling.

Findings

Charge-density wave order induces spin splitting of fermions.

Spin-orbit coupling is essential for the anomalous Hall effect.

Models analyze Rashba and intrinsic d-wave spin-orbit interactions.

Abstract

In this paper we propose two theoretical models of a metallic N\'{e}el ordered antiferromagnet with charge-density wave order which shows the anomalous Hall effect. In our models a combination of the N\'{e}el order and the charge-density wave order results in spin splitting of the conducting fermions. In addition, spin-orbit coupling is required to drive the anomalous Hall effect. In the first model we analyzed the effects of the Rashba spin-orbit coupling, and of the intrinsic $d-$wave spin-orbit coupling in the second model.