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In this paper we present an analysis of the magnetic toroidal moment and itsrelation to the various structural modes in R3c-distorted perovskites withmagnetic cations on either the perovskite A or B site. We evaluate the toroidalmoment in the limit of localized magnetic moments and show that the fullmagnetic symmetry can be taken into account by considering small inducedmagnetic moments on the oxygen sites. Our results give a transparent picture ofthe possible coupling between magnetization, electric polarization, andtoroidal moment, thereby highlighting the different roles played by the variousstructural distortions in multiferroic BiFeO_3 and in the recently discussedisostructural material FeTiO_3, which has been predicted to exhibit electricfield-induced magnetization switching.

Toroidal moments as indicator for magneto-electric coupling: the case of BiFeO_3 versus FeTiO_3