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    Symmetry Classification of Nonrelativistic Hidden Spin Polarization in Noncollinear Magnets

    Yuzhong Hu1,2,*, Pan Zhou1,*,†, Baoru Pan1, PengBo Lyu2, and Lizhong Sun1,2,‡

    • 1Key Laboratory of Low Dimensional Materials and Application Technology of Ministry of Education, School of Materials Science and Engineering, Xiangtan University, Xiangtan 411105, China
    • 2Hunan Provincial Key laboratory of Thin Film Materials and Devices, School of Materials Science and Engineering, Xiangtan University, Xiangtan 411105, China

    • *These authors contributed equally to this work.
    • †Contact author: zhoupan71234@xtu.edu.cn
    • ‡Contact author: lzsun@xtu.edu.cn

    Phys. Rev. Lett. 137, 106704 – Published 2 September, 2026

    DOI: https://doi.org/10.1103/8pg5-pz4z

    Abstract

    Hidden spin polarization (HSP), in which spin-polarized states exist locally while the total spin polarization is hidden in momentum space, has been extensively studied in nonmagnetic and collinear magnetic systems but remains largely unexplored in noncollinear magnets. Here we establish a unified symmetry framework for HSP in noncollinear magnetic materials based on spin-group theory. We show that spin symmetries systematically constrain nonrelativistic spin polarization, giving rise to four distinct split spin-texture (SST) types for each local sector, denoted as SST-1, SST-2, SST-3, and SST-4. Based on these splitting forms, together with the dimensionality of the associated local spin textures and the symmetry relations between different local sectors, we further classify HSP into three categories: HSP-1, HSP-2, and HSP-3. We illustrate these categories using tight-binding models and representative material examples, including SrFe2Se2O, USb, Sr2Mn3Sb2O2, PrFeAsO, and GdMn2Si2. A survey of the MAGNDATA database further identifies 133, 7, and 139 candidate noncollinear magnetic materials hosting HSP-1, HSP-2, and HSP-3, respectively. In addition, our symmetry analysis and first-principles calculation show that many of these materials can exhibit nonzero spin-related response tensors. These results establish a general framework for understanding HSP in noncollinear magnets and highlight their potential for spin-dependent functionalities.

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