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

K. Ohgushi; S. Murakami; N. Nagaosa

doi:10.1103/PhysRevB.62.R6065

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

K. Ohgushi, S. Murakami, N. Nagaosa

Research output: Contribution to journal › Article › peer-review

341 Citations (Scopus)

Abstract

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 σ_xy= ± e²/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).

Original language	English
Pages (from-to)	R6065-R6068
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	62
Issue number	10
DOIs	https://doi.org/10.1103/PhysRevB.62.R6065
Publication status	Published - 2000 Sep 1
Externally published	Yes

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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abstract = "A ferromagnet with spin anisotropies on the two-dimensional (2D) kagom{\'e}, 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 σxy= ± e2/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).",

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AU - Ohgushi, K.

AU - Murakami, S.

AU - Nagaosa, N.

PY - 2000/9/1

Y1 - 2000/9/1

N2 - 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 σxy= ± e2/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).

AB - 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 σxy= ± e2/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).

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JO - Physical Review B - Condensed Matter and Materials Physics

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

Abstract

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