反常霍尔效应理论的研究进展

Progress of studies on the anomalous Hall effect

文章介绍了在铁磁性材料中反常霍尔效应的发现及其机制研究的历史;阐述了反常霍尔效应理论研究最近取得的重大进展,即倒空间中布洛赫态的贝里曲率(规范场)特性决定了霍尔电导率;同时指出,建立系统地解释反常霍尔效应机制的理论仍然是一个挑战性的任务.

The phenomenon, discovery and history of the anomalous Hall effect are reviewed. Studies on its mechanism are discussed with emphasis on recent progress, i. e. , the relationship between the anomalous Hall conductivity and the Berry curvature （ gauge field） of the Bloch states in momentum space. It is pointed out that a full understanding of the anomalous Hall effect is still a challenging problem.