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We generalize the full-potential linearized augmented plane-wave method with a single slab geometry in order to treat noncollinear magnetism with no shape approximation for the magnetization, and apply this scheme to investigate free-standing Fe(001) monolayers with lattice constants matching those of fcc Ag(001) and Cu(001) substrates. Intra-atomic noncollinear magnetism on a smaller length scale inside the atom is observed in the ferromagnetic state, and is found to enhance the magnetocrystalline anisotropy energy (by 17{~}20%) compared to values determined for their collinear magnetic state.
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Nakamura et al. (2003) studied this question.
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