The anomalous Hall effect, typically observed in ferromagnetic metals, can also manifest in certain noncollinear antiferromagnetic materials. However, studying the cubic kagome antiferromagnet ${\mathrm{Mn}}_{3}X$ ($X=\mathrm{Ir}$, Pt, Rh), which was theoretically predicted to exhibit the anomalous Hall effect, has proven challenging due to the extremely small measured values. In this study, we validate these theoretical predictions by successfully measuring a remarkable anomalous Hall conductivity in the cubic kagome antiferromagnet ${\mathrm{Mn}}_3\mathrm{Sb}$, reaching up to $308{\mathrm{\Omega }}^{-1}\mathrm{c}{\mathrm{m}}^{-1}$. Combining these results with those obtained from the hexagonal kagome antiferromagnet ${\mathrm{Mn}}_{3}Z$ ($Z=\mathrm{Sn}$, Ge), our findings contribute to a comprehensive understanding of the anomalous Hall effect in noncollinear antiferromagnetic materials, leading to further advancements in the research on the functions and control of cluster multipoles.

• Received 13 June 2023
• Revised 12 July 2023
• Accepted 31 July 2023

DOI:https://doi.org/10.1103/PhysRevB.108.075140