Diverse magnetic phase diagram and anomalous Hall effect in antiferromagnetic LuMn₆Sn₆

RMn₆Sn₆ (R = rare-earth elements) kagome metals are characterized by a wide range of field-induced complex magnetic textures, leading to distinct topological transport phenomena such as the topological Hall and Nernst effects. In this work [1], we investigate the antiferromagnetic kagome compound LuMn₆Sn₆, revealing a rich magnetic phase diagram with eight distinct phases. We observe an anomalous Hall effect (AHE) in the coplanar canted antiferromagnetic phase, which is likely of intrinsic origin. In the low-temperature ferromagnetic phase, we find a sharp enhancement of the AHE that exceeds conventional intrinsic limits. Our results also expose limitations in standard approaches to extracting topological Hall signals. While correcting for magnetoresistance anisotropy helps reduce spurious contributions, it does not fully resolve them. These findings underscore the need for improved tools to interpret Hall data in complex magnetic systems.

1. Shirin Mozaffari, Seung-Hwan Do, Richa P. Madhogaria, Aikaterini Flessa Savvidou, Brian Casas, William R. Meier, Rui Xue, Eun Sang Choi, Luis Balicas, and David G. Mandrus, “Diverse magnetic phase diagram and anomalous Hall effect in antiferromagnetic LuMn6Sn6”, Phys. Rev. B 112, 115147 (2025).