Topological Nature of Anomalous Hall Effect in Ferromagnets.

Onoda Masaru, Nagaosa Naoto

doi:10.48550/arxiv.cond-mat/0110504

Topological Nature of Anomalous Hall Effect in Ferromagnets.

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Onoda Masaru

Correlated Electron Research Center (CERC), National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba Central 4, Tsukuba 305-8562
Nagaosa Naoto

Department of Applied Physics, University of Tokyo, Bunkyo-ku, Tokyo 113-8656

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説明

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 σ_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.