Anomalous Hall effect in noncollinear antiferromagnetic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>Mn</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mi>NiN</mml:mi></mml:mrow></mml:math> thin films

D. Boldrin, Ilias Samathrakis, Jan Zemen, Andrei P. Mihai, Bin Zou, Freya Johnson, Bryan D. Esser, David W. McComb, Peter K. Petrov, Hongbin Zhang

Abstract

We have studied the anomalous Hall effect (AHE) in strained thin films of the frustrated antiferromagnet ${\mathrm{Mn}}_{3}\mathrm{NiN}$. The AHE does not follow the conventional relationships with magnetization or longitudinal conductivity and is enhanced relative to that expected from the magnetization in the antiferromagnetic state below ${T}_{\mathrm{N}}=260\phantom{\rule{0.16em}{0ex}}\mathrm{K}$. This enhancement is consistent with origins from the noncollinear antiferromagnetic structure, as the latter is closely related to that found in ${\mathrm{Mn}}_{3}\mathrm{Ir}$ and ${\mathrm{Mn}}_{3}\mathrm{Pt}$ where a large AHE is induced by the Berry curvature. As the Berry-phase-induced AHE should scale with spin-orbit coupling, yet larger AHE may be found in other members of the chemically flexible ${\mathrm{Mn}}_{3}A\mathrm{N}$ structure.

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