Phase transitions in the Haldane-Hubbard model with ionic potentials

Abstract

By employing the exact-diagonalization method, we revisit the ground-state phase diagram of the Haldane-Hubbard model on the honeycomb lattice with staggered sublattice potentials. The phase diagram includes the band insulator, Mott insulator, and two Chern insulator phases with Chern numbers C=2 and C=1, respectively. The character of transitions between different phases is studied by analyzing the lower-lying energy levels, excitation gaps, structure factors, and fidelity metric. We find that the C=1 phase can be continuously deformed into the C=2 phase without a gap closure in the periodic boundary condition, while a further analysis on the Berry curvatures indicates that the excitation gap closes at the phase boundary in a twisted boundary condition, accompanied by the discontinuities of structure factors. All the other phase transitions are found to be first-order ones as expected.

6 pages, 5 figures

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Cited by in corpus (7)

• Phase transitions in the Haldane-Hubbard model
• Non-Hermitian Haldane-Hubbard model: Effective description of one- and two-body dissipation
• Topological Anderson insulating phases in the interacting Haldane model
• Topological phase in the extended Haldane-Hubbard model with sublattice-dependent repulsion
• Phase diagram of the interacting Haldane model with spin-dependent sublattice potentials
• From explicit to spontaneous charge order and the fate of antiferromagnetic quantum Hall state
• The antiferromagnetic Chern insulator phase in the Kane-Mele-Hubbard model