Moriyas anisotropic superexchange interaction, frustration, and Dzyaloshinskys weak ferromagnetism

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307 Scopus citations


Moriyas expression for the ringle-bond anisotropic superexchange interaction is shown to possess an overlooked hidden symmetry, isomorphic to the symmetry of the isotropic case. For the unfrustrated case, this symmetry results in a degeneracy of the macroscopic state, implying no unique value for the Dzyaloshinsky weak ferromagnetic moment. A unique value emerges from superexchange only when more than a single bond is considered and only as a result of frustration. This implies that the symmetric part of the superexchange anisotropy tensor must vary among the bonds. The results are particularly relevant for the spin anisotropies in La2CuO4.

Original languageEnglish
Pages (from-to)836-839
Number of pages4
JournalPhysical Review Letters
Issue number5
StatePublished - 1 Jan 1992
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy


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