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Phys. Rev. B 62, R6065–R6068 (2000)

Spin anisotropy and quantum Hall effect in the kagomé lattice: Chiral spin state based on a ferromagnet

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Kenya Ohgushi, Shuichi Murakami, and Naoto Nagaosa
Department of Applied Physics, University of Tokyo, Bunkyo-ku, Tokyo 113-8656, Japan

Received 13 December 1999; published in the issue dated 1 September 2000

A ferromagnet with spin anisotropies on the two-dimensional (2D) kagomé lattice is theoretically studied. This is a typical example of the flat-band ferromagnet. The Berry phase induced by the tilting of the spins opens the band gap and quantized Hall conductance σxye2/h is realized. This is the most realistic chiral spin state based on the ferromagnetism. We also discuss the implication of our results to the anomalous Hall effect observed in the metallic pyrochlore ferromagnets R2Mo2O7 (R=Nd, Sm, Gd).

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.62.R6065
DOI:
10.1103/PhysRevB.62.R6065
PACS:
75.10.Lp, 75.30.Gw, 72.10.-d, 72.15.Eb