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.

arXiv comment16 pages, 4 figures

References in corpus (17)

• Spin current and magneto-electric effect in non-collinear magnets
• Ferroelectricity in spiral magnets
• Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites
• Magnetic inversion symmetry breaking and ferroelectricity in TbMnO3
• Magnetically driven ferroelectric order in Ni${}_3$V${}_2$O${}_8$
• Ferroelectricity in the Magnetic E-Phase of Orthorhombic Perovskites
• Spin structure and magnetic frustration in multiferroic RMn2O5 (R = Tb, Ho, Dy)
• Ferroelectricity induced by acentric spin-density waves in YMn${}_2$O${}_5$
• Erratum: Landau Analysis of the Symmetry of the Magnetic Structure and Magnetoelectric Interaction in Multiferroics [Phys. Rev. B 76, 05447 (2007)]
• Magnetic-induced phonon anisotropy in ZnCr${}_2$O${}_4$ from first principles
• Field dependence of magnetic ordering in Kagome-staircase compound Ni3V2O8
• Towards a Microscopic Model of Magnetoelectric Interactions in Ni3V2O8
• Multiferroicity induced by dislocated spin-density waves
• Symmetry constraints on the electrical polarization in novel multiferroic materials
• An x-ray resonant diffraction study of multiferroic DyMn2O5
• Order Parameters and Phase Diagram of Multiferroic RMn${}_2$O${}_5$
• Theoretical Analysis of the "Double-q" Magnetic Structure of CeAl2

Cited by in corpus (13)

• Multiferroicity, The coupling between magnetic and polarization
• Canted-spin-caused electric dipoles: a local symmetry theory
• A Neutron diffraction study of multiferroics RMn2O5
• Magnetic superspace groups and symmetry constraints in incommensurate magnetic phases
• Complex Spin Structures and Origin of the Magneto-Electric Coupling in YMn2O5
• Magnetic structure and magnetoelectric coupling in bulk and thin film FeVO${}_4$
• Induced ferroelectric phases in TbMn_2O_5
• 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
• Landau Potential for Multiferroic Mn_2GeO_4
• Polarisation dependence of magnetic Bragg scattering in YMn${}_2$O${}_5$