Quarter-Filled Honeycomb Lattice with a Quantized Hall Conductance

Details Quarter-Filled Honeycomb Lattice with a Quantized Hall Conductance Quarter-Filled Honeycomb Lattice with a Quantized Hall Conductance

2011-08-09

arxiv.org/abs/1108.2010v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures

Scientific paper

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.

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