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In this talk I will review our present understanding of the phase diagram of the Kane-Mele Hubbard model as obtained from quantum Monte Carlo simulations. Emphasis will be placed on the Mott transition between the semi-metal and antiferromagntic states [1] as well as on methods to detect topological insulators in the presence of correlations [2].
[1] F.F. Assaad and I. Herbut, http://arxiv.org/abs/1304.6340 [2] F.F. Assaad, M. Bercx, M. Hohenadler, Phys. Rev. X 3, 011015 (2013) |
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