Centrosymmetric antiferromagnets in antipolar lattices can be represented as ferromagnets in a minimal unit cell due to spin-orbit interaction invariance under combined spin rotation and lattice shift, yielding expressions for AHE and orbital magnetization.
Dzyaloshinsky, A thermodynamic theory of “weak” ferromagnetism of antiferromagnetics , J
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Hidden ferromagnetism of centrosymmetric antiferromagnets
Centrosymmetric antiferromagnets in antipolar lattices can be represented as ferromagnets in a minimal unit cell due to spin-orbit interaction invariance under combined spin rotation and lattice shift, yielding expressions for AHE and orbital magnetization.