Dzyaloshinsky-Moriya antisymmetric exchange coupling in cuprates: Oxygen effects

Abstract

We revisit a problem of Dzyaloshinsky-Moriya antisymmetric exchange coupling for a single bond in cuprates specifying the local spin-orbital contributions to Dzyaloshinsky vector focusing on the oxygen term. The Dzyaloshinsky vector and respective weak ferromagnetic moment is shown to be a superposition of comparable and, sometimes, competing local Cu and O contributions. The intermediate oxygen ${}^{17}$O Knight shift is shown to be an effective tool to inspect the effects of Dzyaloshinsky-Moriya coupling in an external magnetic field. We predict the effect of $strong$ oxygen weak antiferromagnetism in edge-shared CuO${}_2$ chains due to uncompensated oxygen Dzyaloshinsky vectors. Finally, we revisit the effects of symmetric spin anisotropy, in particular, those directly induced by Dzyaloshinsky-Moriya coupling.

arXiv comment12 pages, 2 figures, submitted to JETP

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• Dzyaloshinskii-Moriya coupling in 3d insulators
• Multiferroicity due to nonstoichiometry in the chain cuprate LiVCuO_4
• Magnetoelectric effect due to local noncentrosymmetry
• Dzyaloshinskii interaction and exchange-relativistic effects in orthoferrites
• Microscopic mechanisms of spin-dependent electric polarization in 3d oxides
• Structure-property relationships for weak-ferromagnetic perovskites