Topological Nature of Anomalous Hall Effect in Ferromagnet

Details Topological Nature of Anomalous Hall Effect in Ferromagnet Topological Nature of Anomalous Hall Effect in Ferromagnet

2001-10-24

arxiv.org/abs/cond-mat/0110504v1

J. Phys. Soc. Jpn. 71, 19 (2002)

Physics

Condensed Matter

Strongly Correlated Electrons

LaTeX 13 pages, 3 figures

Scientific paper

10.1143/JPSJ.71.19

The anomalous Hall effect in two-dimensional ferromagnets is discussed 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. This appears as the sharp peaks and the 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 the three dimensional systems is also discussed.

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