First-principles studies of multiferroic and magnetoelectric materials
Yue-Wen Fang, Hang-Chen Ding, Wen-Yi Tong, Wan-Jiao Zhu, Xin Shen,, Shi-Jing Gong, Xian-Gang Wan, Chun-Gang Duan

TL;DR
This review highlights how first-principles calculations have advanced understanding and discovery of multiferroic and magnetoelectric materials, including mechanisms and electric control of magnetism.
Contribution
It introduces new computational methods like the orbital selective external potential (OSEP) and summarizes recent first-principles studies on multiferroics and magnetoelectric effects.
Findings
First-principles methods elucidate ferroelectricity origins in transition metal oxides.
Mechanisms for coexistence of ferroelectricity and magnetism are identified.
Electric control of magnetism is systematically studied.
Abstract
Multiferroics are materials where two or more ferroic orders coexist owing to the interplay between spin, charge, lattice and orbital degrees of freedom. The explosive expansion of multiferroics literature in recent years demon-strates the fast growing interest in this field. In these studies, the first-principles calculation has played a pioneer role in the experiment explanation, mechanism discovery and prediction of novel multiferroics or magnetoelectric materials. In this review, we discuss, by no means comprehensively, the extensive applications and successful achievements of first-principles approach in the study of multiferroicity, magnetoelectric effect and tunnel junc-tions. In particular, we introduce some our recently developed methods, e.g., the orbital selective external potential (OSEP) method, which prove to be powerful tools in the finding of mechanisms responsible for…
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