We present a strategy to design structures for which a polar lattice distortion induces weak ferromagnetism. We identify a large class of multiferroic oxides as potential realizations and use density-functional theory to screen several promising candidates. By elucidating the interplay between the polarization and the Dzyaloshinskii-Moriya vector, we show how the direction of the magnetization can be switched between 180∘ symmetry equivalent states with an applied electric field.
@article{arxiv.0711.1331,
title = {Ferroelectrically induced weak-ferromagnetism in a single-phase multiferroic by design},
author = {Craig J. Fennie},
journal= {arXiv preprint arXiv:0711.1331},
year = {2013}
}