Anomalous Hall effect in metallic collinear antiferromagnets with charge-density wave order
Abstract
In this paper we propose two theoretical models of a metallic N\'eel ordered antiferromagnet with charge-density wave order which shows the anomalous Hall effect. In our models a combination of the N\'eel 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.
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