Uncovering the Magnetization Multipolar Anisotropy of the Anomalous Hall Effect in Conventional Ferromagnets

作者：Wenzhi Peng, Zheng Liu, Haolin Pan, Peng Wang, Yulong Chen, Jia‐Chen Zhang, Xuhao Yu, Jinhui Shen, Mingmin Yang, Qian Niu, Yang Gao, Dazhi Hou, Dazhi Hou · 发表于：Chinese Physics Letters · 年份：2026 · DOI：10.1088/0256-307x/43/6/060704 · 被引用次数：2 · 研究领域：Magnetic Field Sensors Techniques、Magnetic Properties and Applications、Magnetic properties of thin films

Abstract The anomalous Hall effect (AHE) in ferromagnets is conventionally described by a dipolar relation between the anomalous Hall conductivity and the magnetization, which enforces their parallel alignment and thus forbids a Hall signal when the magnetization lies within the Hall plane. Here, by systematically measuring the AHE under in-plane magnetization in Fe and Ni, we uncover a multipolar anisotropy of the AHE that produces a finite in-plane anomalous Hall response in Fe(103) and Ni(111), while it vanishes in Fe(001) as dictated by crystal symmetry. The angular dependence of the in-plane AHE in Fe(103) and Ni(111) further deviates from the familiar sinusoidal form expected from dipolar behavior, revealing symmetry-allowed higher-order multipolar contributions. First-principles calculations quantitatively reproduce the experimentally extracted dipolar and octupolar coefficients for Fe, demonstrating that intrinsic Berry curvature carries a sizable multipolar anisotropy in conventional cubic ferromagnets.