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    Probing k-Space Alternating Spin Polarization via the Anomalous Hall Effect

    Rui Chen1, Zi-Ming Wang2, Ke Wu1, Hai-Peng Sun3,4, Bin Zhou1, Rui Wang2,5,*, and Dong-Hui Xu2,5,†

    • 1Department of Physics, Hubei University, Wuhan 430062, China
    • 2Department of Physics and Chongqing Key Laboratory for Strongly Coupled Physics, Chongqing University, Chongqing 400044, China
    • 3Shenzhen Key Laboratory of Ultraintense Laser and Advanced Material Technology, Center for Intense Laser Application Technology, and College of Engineering Physics, Shenzhen Technology University, Shenzhen 518118, China
    • 4Institute for Theoretical Physics and Astrophysics, University of Würzburg, 97074 Würzburg, Germany
    • 5Center of Quantum Materials and Devices, Chongqing University, Chongqing 400044, China

    • *Contact author: rcwang@cqu.edu.cn
    • †Contact author: donghuixu@cqu.edu.cn

    Phys. Rev. Lett. 135, 096602 – Published 28 August, 2025

    DOI: https://doi.org/10.1103/yrs7-m6zy

    Abstract

    Altermagnets represent a recently discovered class of collinear magnets, characterized by antiparallel neighboring magnetic moments and an alternating-sign spin polarization in momentum space (k space). However, experimental methods for probing the k-space spin polarization in altermagnets remain limited. In this Letter, we propose an approach to address this challenge by interfacing an altermagnet with the surface of a topological insulator. We show that the altermagnet’s unique k-space spin polarization imprints a momentum-dependent, sign-alternating Dirac mass onto the otherwise massless surface states of the topological insulator, a direct consequence of breaking time-reversal symmetry. This engineered Dirac mass results in a unique, alternating half-quantized anomalous Hall effect. By measuring the Hall conductance, we can extract the local k-space magnetic moment. Moreover, we can map the global magnetic moment distribution by tuning the Dirac point position using an in-plane magnetic field, thereby revealing the k-space spin density of the altermagnet. This Letter establishes the Dirac fermion on the topological insulator surface as a sensitive probe for unveiling spin characters of altermagnets and those of other unconventional antiferromagnets.

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