Spin Anisotropy and Quantum Hall Effect in the Kagome Lattice - Chiral Spin State based on a Ferromagnet-

1999/12/13 by Kenya Ohgushi, Shuichi Murakami, Naoto Nagaosa · 3 citations
Physics and Astronomy · #cond-mat.str-el #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.62.r6065

4 pages, REVTEX, 4 figures

arxiv created 1999/12/13 · arxiv updated 2009/11/30

Abstract

A ferromagnet with spin anisotropies on the 2D Kagome 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 without external magnetic field. This is the most realistic chiral spin state based on the ferromagnetism. We also discuss the implication of our results to anomalous Hall effect observed in the metallic pyrochlore ferromagnets R₂Mo₂O₇(R=Nd, Sm, Gd).

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