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Quarter-Filled Honeycomb Lattice with a Quantized Hall Conductance

We study a generic two-dimensional hopping model on a honeycomb lattice with strong spin-orbit coupling, without the requirement that the half-filled lattice be a Topological Insulator. For quarter-(or three-quarter) filling, we show that a state with a quantized Hall conductance generically arises in the presence of a Zeeman field of sufficient strength. We discuss the influence of Hubbard interactions and argue that spontaneous ferromagnetism (which breaks time-reversal) will occur, leading to a quantized anomalous Hall effect.

preprint2011arXivOpen access
Ganpathy MurthyEfrat ShimshoniR. ShankarHerbert A. Fertig
cond-mat.mes-hall
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Open access4 authors1 topic
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Ganpathy MurthyEfrat ShimshoniR. ShankarHerbert A. Fertig

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