Physics – Condensed Matter – Materials Science
Scientific paper
2008-06-12
Phys. Rev. Lett. 102, 249701 (2009)
Physics
Condensed Matter
Materials Science
Published version (4 pages, including supplementary information)
Scientific paper
10.1103/PhysRevLett.102.249701
The question of how ferroelectric polarization is coupled to magnetism in magnetoelectric multiferroics, in which both types of order are simultaneously present, is of considerable scientific and practical interest. A recent Letter \cite{fennie} presents an analysis of the important ``ABO$_3$'' class of perovskite multiferroics. This Letter argues that antiferromagnetic multiferroics with magnetic ions on the B site, such as the well-studied room-temperature multiferroic bismuth ferrite (A=Bi, B=Fe), cannot show linear magnetoelectric coupling of the form ${\bf P} \cdot ({\bf L} \times {\bf M})$. Here ${\bf P}$ is polarization and ${\bf L}$ and ${\bf M}$ are antiferromagnetic and ferromagnetic moments. The conclusion of Ref. \onlinecite{fennie} is that only materials with magnetic A-site have this coupling. This Comment presents a compact analysis of magnetoelectric coupling in the ABO$_3$ multiferroics. We show that the argument of Ref. \onlinecite{fennie} does forbid $E_{PLM}$ if the final low-symmetry phase contains only one distortion that, like ${\bf P}$, breaks all inversion symmetries. In reality, there are multiple distortions in this symmetry class, and cross-terms generate $E_{PLM}$. Our analysis gives simple conclusions about existence and optimization of magnetoelectric coupling in ABO$_3$ materials.
Moore Joel E.
Sousa Rogerio de
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