# Anomalous Hall effect in non-collinear antiferromagnetic antiperovskite Mn$_{3}$Ni$_{1-x}$Cu$_{x}$N

## TL;DR

This study demonstrates the presence of an anomalous Hall effect in noncollinear antiferromagnetic Mn3Ni1-xCuxN, showing potential for antiferromagnetic spintronics due to symmetry-driven Berry curvature effects.

## Contribution

It provides experimental evidence and theoretical explanation for the anomalous Hall effect in doped antiperovskite Mn3NiN, highlighting its noncollinear AFM order and Berry curvature origin.

## Key findings

- AHE observed in polycrystalline and single crystal samples.
- AHE does not scale with net magnetization, unlike ferromagnets.
- DFT calculations confirm Berry curvature as the origin of AHE.

## Abstract

We report the anomalous Hall effect (AHE) in antiperovskite Mn$_{3}$NiN with substantial doping of Cu on the Ni site (i.e. Mn$_{3}$Ni$_{1-x}$Cu$_{x}$N), which stabilizes a noncollinear antiferromagnetic (AFM) order compatible with the AHE. Observed on both sintered polycrystalline pieces and single crystalline films, the AHE does not scale with the net magnetization, contrary to the conventional ferromagnetic case. The existence of the AHE is explained through symmetry analysis based on the $\Gamma_{\rm 4g}$ AFM order in Cu doped Mn$_{3}$NiN. DFT calculations of the intrinsic contribution to the AHE reveal the non-vanishing Berry curvature in momentum space due to the noncollinear magnetic order. Combined with other attractive properties, antiperovskite Mn$_{3}$AN system offers great potential in AFM spintronics.