Kinetomagnetism and altermagnetism
Phys. Rev. Materials 10, 114404 – Published 4 November, 2026
DOI: https://doi.org/10.1103/jyns-5br2
Abstract
Kinetomagnetism refers to magnetization, or more generally to pseudovector responses with the same symmetry as magnetization, induced by the linear momentum or by external stimuli that transform in the same way as . It provides a symmetry-based origin for both longitudinal and transverse nonlinear responses of either even or odd order. The necessary and sufficient symmetry condition for kinetomagnetism is the breaking of parity-time symmetry (), which likewise permits spin splitting in electronic band structures. Consequently, all altermagnets, characterized by spin-split electronic bands with full spin compensation, can exhibit kinetomagnetism. Here we examine the connection between kinetomagnetism and altermagnetism within the generalized SAM classification framework. We show that S- and M-type altermagnets can host transverse even-order kinetomagnetism, whereas A-type altermagnets can host transverse odd-order kinetomagnetism. This kinetomagnetic perspective provides a unified framework for understanding altermagnets and related phenomena, including higher-order nonlinear Hall effects, piezomagnetism, and spin-splitting torques, while allowing their nonrelativistic spin-splitting contributions to be predicted from spin symmetries.
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Altermagnetic and Related Materials
Editors of Physical Review Materials are pleased to present the Collection on Altermagnetic and Related Materials, highlighting cutting-edge advances in theoretical and experimental identification of novel altermagnetic materials, their properties, and their potential applications. The Collection is being guest-edited by Kirill Belashchenko of the University of Nebraska-Lincoln (USA), Cheng Song of Tsinghua University (China), and Peter Wadley of The University of Nottingham (UK). Every article published in this collection underwent a rigorous peer review process, adhering to the same high standards applied to all papers. The Physical Review Materials editorial team managed the peer review and made all editorial decisions.
