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Symmetry Classification of Nonrelativistic Hidden Spin Polarization in Noncollinear Magnets.

Created on 19 Sep 2026

Authors

Yuzhong Hu, Pan Zhou, Baoru Pan, PengBo Lyu, Lizhong Sun

Published in

Physical review letters. Volume 137. Issue 10. Pages 106704. Sep 04, 2026.

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 SrFe_{2}Se_{2}O, USb, Sr_{2}Mn_{3}Sb_{2}O_{2}, PrFeAsO, and GdMn_{2}Si_{2}. 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.

PMID:
42759004
Bibliographic data and abstract were imported from PubMed on 19 Sep 2026.

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