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The Berry phase due to the spin wave function gives rise to the orbital ferromagnetism and anomalous Hall effect in the noncoplanar antiferromagnetic ordered state on face-centered-cubic (fcc) lattice once the crystal is distorted perpendicular to the (1,1,1) or (1,1,0) plane. The relevance to the real systems gamma-FeMn and NiS2 is also discussed.
Shindou et al. (Thu,) studied this question.
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