• Journal of the Korean Magnetics Society
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• v.17 no.5
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• pp.215-220
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• 2007

The superexchange interaction is introduced to explain antiferromagnetic ordering in transition metal compounds such as MnO and $MnF_2$. The anisotropic superexchange (Dzyaloshinskii-Moriya: DM) interaction can be derived by incorporating the spin-orbit interaction into the superexchange interaction. The anisotropic superexchange DM can account for the weak ferromagnetism observed in transition metal compounds such as ${\alpha}-Fe_2O_3$, $MnCO_3$, $CrF_3$.