Scalar spin chirality and quantum Hall effect on a triangular lattice

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

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4 pages 3 figs

Scientific paper

10.1103/PhysRevLett.101.156402

We study the Kondo Lattice and Hubbard models on a triangular lattice for band filling factor 3/4. We show that a simple non-coplanar chiral spin ordering (scalar spin chirality) is naturally realized in both models due to perfect nesting of the Fermi surface. The resulting triple-Q magnetic ordering is a natural counterpart of the collinear Neel ordering of the half-filled square lattice Hubbard model. We show that the obtained chiral phase exhibits a spontaneous quantum Hall-effect with sigma_{xy}= e^2/h.

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