A model of an insulating altermagnet with g-wave order and non-Hermitian terms is claimed to have Chern number +1, implying a quantum anomalous Hall insulator.
Isidori, Altermagnetism arising from a spontaneous electronic instability, Commun Mater 5, 134 (2024)
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Investigation of non-Hermitian and Hermitian models of Altermagnets
A model of an insulating altermagnet with g-wave order and non-Hermitian terms is claimed to have Chern number +1, implying a quantum anomalous Hall insulator.