Quantized Anomalous Hall Effect in Two-Dimensional Ferromagnets: Quantum Hall Effect in Metals

Masaru Onoda and Naoto Nagaosa
Phys. Rev. Lett. 90, 206601 – Published 22 May 2003

Abstract

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 σxy 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 σxy without the quantum correction, i.e., |σxy|>e2/(2h).

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  • Received 23 January 2003

DOI:https://doi.org/10.1103/PhysRevLett.90.206601

©2003 American Physical Society

Authors & Affiliations

Masaru Onoda1,* and Naoto Nagaosa1,2,†

  • 1Correlated Electron Research Center (CERC), National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba Central 4, Tsukuba 305-8562, Japan
  • 2CREST, Department of Applied Physics, University of Tokyo, Bunkyo-ku, Tokyo 113-8656, Japan

  • *Electronic address: m.onoda@aist.go.jp
  • Electronic address: nagaosa@appi.t.u-tokyo.ac.jp

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Issue

Vol. 90, Iss. 20 — 23 May 2003

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