Journal
PHYSICAL REVIEW LETTERS
Volume 90, Issue 20, Pages -Publisher
AMERICAN PHYSICAL SOC
DOI: 10.1103/PhysRevLett.90.206601
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We study the effect of disorder on the anomalous Hall effect (AHE) in two-dimensional ferromagnets. The topological nature of the AHE leads to the integer quantum Hall effect from a metal, i.e., the quantization of sigma(xy) induced by the localization except for the few extended states carrying Chern numbers. Extensive numerical study on a model reveals that Pruisken's two-parameter scaling theory holds even when the system has no gap with the overlapping multibands and without the uniform magnetic field. Therefore, the condition for the quantized AHE is given only by the Hall conductivity sigma(xy) without the quantum correction, i.e., \sigma(xy)\>e(2)/(2h).
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