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High-Order Anisotropic Magnetoresistance in a Cubic Ferromagnet

Haoran Chen1,*, Yue Chen2,3,*, Yizi Feng1, Ruda Guo2,3, Yuanfei Fan1, Hongyue Xu1, Tong Wu1, Zhongxun Guo1, Di Yue1 et al.

Xiaofeng Jin1, Yi Liu4,5, Zhe Yuan3,†, and Yizheng Wu1,6,7,‡

  • 1State Key Laboratory of Surface Physics and Department of Physics, Fudan University, Shanghai 200433, China
  • 2Center for Advanced Quantum Studies and School of Physics and Astronomy, Beijing Normal University, Beijing 100875, China
  • 3State Key Laboratory of Surface Physics and Interdisciplinary Center for Theoretical Physics and Information Science, Fudan University, Shanghai 200433, China
  • 4Institute for Quantum Science and Technology, Shanghai University, Shanghai 200444, China
  • 5Department of Physics, Shanghai University, Shanghai 200444, China
  • 6Shanghai Research Center for Quantum Sciences, Shanghai 201315, China
  • 7Shanghai Key Laboratory of Metasurfaces for Light Manipulation, Fudan University, Shanghai 200433, China

  • *These authors contributed equally to this work.
  • †Contact author: yuanz@fudan.edu.cn
  • ‡Contact author: wuyizheng@fudan.edu.cn

Phys. Rev. Lett. 136, 086704 – Published 24 February, 2026

DOI: https://doi.org/10.1103/n518-jlf6

Abstract

High-order anisotropic magnetoresistance (AMR) is observed up to the 18th harmonic in cubic Fe(001) thin films, overturning the long-standing paradigm that only two-fold and four-fold terms are symmetry-allowed. Using angle-resolved transport and Fourier analysis, we show that six-fold and higher-order terms are intrinsic, tunable by temperature and thickness, and predicted by crystal symmetry. Microscopically, the two-fold sign reversal arises from a crossover between weak and strong scattering regimes, while high-order terms emerge from the interplay of anisotropic Fermi velocity and relaxation time. Our results establish high-order AMR as a symmetry-prescribed property of cubic ferromagnets, providing critical benchmarks for spin-orbit transport theory and enabling new angular-sensitive spintronic functionalities.

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