We analyze the coupling between the ferroelectric and magnetic order parameters in the magnetoelectric multiferroic BiFeO_3 using density functional theory within the local spin density approximation and the LSDA+U method. We show that weak ferromagnetism of the Dzyaloshinskii-Moriya type occurs in this material, and we analyze the coupling between the resulting magnetization and the structural distortions. We explore the possibility of electric-field-induced magnetization reversal and show that, although it is unlikely to be realized in BiFeO_3, it is not in general impossible. Finally we outline the conditions that must be fulfilled to achieve switching of the magnetization using an electric field.
@article{arxiv.cond-mat/0407003,
title = {Weak ferromagnetism and magnetoelectric coupling in bismuth ferrite},
author = {Claude Ederer and Nicola A. Spaldin},
journal= {arXiv preprint arXiv:cond-mat/0407003},
year = {2007}
}