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Using a realistic model relevant to La2CuO4 and other altermagnetic perovskite oxides, we study interrelations between weak ferromagnetism (WF), anomalous Hall effect (AHE), and net orbital magnetization (OM). All of them can be linked to the form of Dzyaloshinskii-Moriya (DM) interactions. Nevertheless, while spin WF is induced by the DM vector components having the same sign in all equivalent bonds, AHE and OM are related to alternating-sign components, which do not contribute to any canting of spins. The microscopic model remains invariant under the symmetry operation combining the shift of antiferromagnetically coupled sublattices to each other with the spin flip. Thus, the band structure remains Kramers-degenerate, but the time-reversal symmetry is broken, providing a possibility to realize AHE in antiferromagnetic substances. The altermagnetic splitting of bands, breaking this symmetry, does not play a major role in the problem. More important is the orthorhombic strain, responsible for finite values of AHE and OM.

Rights:

• Creative Commons BY-NC-ND Attribution-NonCommercial-NoDerivs 4.0 International
  

Keyword: altermagnetism, weak ferromagnetism, anomalous Hall effect, orbital magnetism

Date published: 2026-05-22

Publisher: Springer Science and Business Media LLC

Journal:

• npj Quantum Materials (ISSN: 23974648) vol. 11 issue. 1 54

Funding:

Manuscript type: Publisher's version (Version of record)

MDR DOI:

First published URL: https://doi.org/10.1038/s41535-026-00900-9

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Updated at: 2026-06-25 16:49:38 +0900

Published on MDR: 2026-06-25 18:29:53 +0900