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arXiv · 1512.08804

Topological phase transitions in the repulsively interacting Haldane-Hubbard model

Tuomas I. Vanhala·Topi Siro·Long Liang·Matthias Troyer·Ari Harju·Päivi Törmä
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Abstract

Using dynamical mean-field theory and exact diagonalization we study the phase diagram of the repulsive Haldane-Hubbard model, varying the interaction strength and the sublattice potential difference. In addition to the quantum Hall phase with Chern number $C=2$ and the band insulator with $C=0$ present already in the noninteracting model, the system also exhibits a $C=0$ Mott insulating phase, and a $C=1$ quantum Hall phase. We explain the latter phase by a spontaneous symmetry breaking where one of the spin-components is in the Hall state and the other in the band insulating state.

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Tuomas I. Vanhala, Topi Siro, Long Liang, Matthias Troyer, Ari Harju, Päivi Törmä. 2016-04-25. Topological phase transitions in the repulsively interacting Haldane-Hubbard model. https://doi.org/10.1103/physrevlett.116.225305

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