Anomalous quantum Hall states in an optical lattice

Details Anomalous quantum Hall states in an optical lattice Anomalous quantum Hall states in an optical lattice

2012-01-27

arxiv.org/abs/1201.5874v1

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages (includes supplementary material), 7 figures

Scientific paper

We analyze the Physics of cold atoms in honeycomb optical lattices with on-site repulsion and spin-orbit couplings that break time reversal symmetry. Such systems, at half filling and large on-site repulsion, have been proposed as a possible realization of the Kitaev model. The spin-orbit couplings break the spin degeneracy and, if strong-enough, lead to four non-overlapping bands in the non-interacting limit. These bands carry non-zero Chern number and therefore the non-interacting system has non-zero angular momentum and chiral edge states at 1/4 and 3/4 filling. We have investigated the effect of interactions using the variational cluster perturbation theory and conclude that the chiral edge states exist in finite range of interaction and hopping parameter space.

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