Effect of Inversion Symmetry on Incommensurate Order in Multiferroic RMn2O5, R=rare earth

Abstract

Starting from the irreducible representations of the group of the wave vector we construct the spin wave functions consistent with inversion symmetry, neglected in the usual representation analysis. We obtain the relation between the basis functions of different members of the star of the wave vector. We introduce order parameters and determine their transformation properties under the operations of the space group of the paramagnetic crystal. The results are applied to construct terms in the magnetoelectric interaction which are quadratic and quartic in the magnetic order parameters. The higher order magnetoelectric interactions can in principle induce components of the spontaneous polarization which are not allowed by the lowest order magnetoelectric interaction. We also obtain the relation between the spin wave functions of the incommensurate phase and those of the commensurate phase which lead to analogous relations between the order parameters of these two phases.

16 pages, 4 figures

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• Coupled multiferroic domain switching in the canted conical spin spiral system Mn${}_2$GeO${}_4$
• Order Parameters and Phase Diagrams of Multiferroics
• Noncentrosymmetric Commensurate Magnetic Ordering of Multiferroic ErMn2O5
• Exchange anisotropy as mechanism for spin-stripe formation in frustrated spin chains