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Haldane model is a noninteracting model for spinless fermions showingnontrivial topological properties. Effect of the electron-electron interactionon the topological phase poses an intriguing question. By means of theHartree-Fock mean field, the exact diagonalization and the constrained-pathMonte Carlo methods we mapped out the phase diagram of the interacting Haldanemodel. It is found that interaction breaks down the topological phase anddrives the system into the charge-density-wave state. Sequence of the twotransitions depends on the strength of next-nearest-neighbor hopping. Many-bodyChern number and the charge excitation gap are used to characterize thetopological transition.

Charge-density-wave and topological transitions in interacting Haldane model