Department of Physics Papers

Document Type

Working Paper

Date of this Version

7-3-2008

Publication Source

Physical Review B

Volume

78

Start Page

014407-1

Last Page

014407-15

DOI

10.1103/PhysRevB.78.014407

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.

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Date Posted: 12 August 2015

This document has been peer reviewed.