Regensburg 2025 – wissenschaftliches Programm

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MA: Fachverband Magnetismus

MA 27: Focus Session: Magneto-Transport and Magneto-Optics of Higher Orders in Magnetization II

MA 27.1: Vortrag

Mittwoch, 19. März 2025, 15:00–15:15, H18

Quantifying magnetization multipole of Berry curvature in ferromagnets — •Wenzhi Peng, Zheng Liu, Bin Xiang, Qian Niu, Yang Gao, and Dazhi Hou — University of Science and Technology of China

The anomalous Hall effect, originating from the Berry curvature in momentum space, typically manifests as a dipole behavior in magnetization. This implies that the anomalous Hall conductivity is parallel to the magnetization in most transport measurements. However, even in iron, the in-plane magnetization can also induce the anomalous Hall effect, which contradicts the predictions of the dipole term in a cubic lattice. This behavior can be understood within the framework of the Berry curvature multipole structure in magnetization space. In this work, we propose a paradigm to quantify the coefficients of the Berry curvature multipole by examining the angular dependence of the Hall resistivity, which matches well with first-principles calculations. Under certain conditions, the contribution of the magnetization multipole can even surpass that of the dipole term, dominating the AHE.

Keywords: Anomalous Hall Effect; Berry curvature; Multipole; Magnetization space; First-principles calculation