TY - JOUR

T1 - Effect of inversion symmetry on the incommensurate order in multiferroic R Mn2 O5 (R=rare earth)

AU - Harris, A. B.

AU - Kenzelmann, M.

AU - Aharony, Amnon

AU - Entin-Wohlman, O.

PY - 2008/7/3

Y1 - 2008/7/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=46749085878&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.78.014407

DO - 10.1103/PhysRevB.78.014407

M3 - Article

AN - SCOPUS:46749085878

SN - 1098-0121

VL - 78

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 1

M1 - 014407

ER -