Topological nature of anomalous Hall effect in ferromagnets

被引：307

作者：

Onoda, M

Nagaosa, N

机构：

[1] Natl Inst Adv Ind Sci & Technol, CERC, Tsukuba, Ibaraki 3058562, Japan

[2] Univ Tokyo, Dept Appl Phys, Bunkyo Ku, Tokyo 1138656, Japan

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2002年 / 71卷 / 01期

关键词：

anomalous Hall effect; two-dimensional ferromagnet; parity anomaly; chem number;

D O I：

10.1143/JPSJ.71.19

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The anomalous Hall effect in two-dimensional (2D) ferromagnets is considered to be the physical realization of the parity anomaly in (2 + 1)D, and the band crossing points behave as the topological singularity in the Brillouin zone. These band crossing points appear as sharp peaks and sign changes of the transverse conductance sigma(xy) as a function of the Fermi energy and/or the magnetization. The relevance to the experiments including three-dimensional (3D) systems is also discussed.

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页码：19 / 22

页数：4

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