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.

• 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;