Weak ferromagnetism and magnetoelectric coupling in bismuth ferrite
Claude Ederer, Nicola A. Spaldin

TL;DR
This paper investigates the magnetoelectric coupling in BiFeO3 using density functional theory, revealing weak ferromagnetism and discussing the potential for electric-field-induced magnetization reversal.
Contribution
It provides a detailed theoretical analysis of the coupling mechanisms in BiFeO3 and outlines conditions for electric-field-controlled magnetization switching.
Findings
Weak ferromagnetism of Dzyaloshinskii-Moriya type identified
Coupling between magnetization and structural distortions analyzed
Electric-field-induced magnetization reversal is unlikely but theoretically possible
Abstract
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.
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