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We study a generalized Kane-Mele-Hubbard model with third-neighbor hopping,an interacting two-dimensional model with a topological phase transition as afunction of third-neighbor hopping, by means of the determinant projectorQuantum Monte Carlo (QMC) method. This technique is essentially numericallyexact on models without a fermion sign problem, such as the one we consider. Wedetermine the interaction-dependence of the Z2 topological insulator/trivialinsulator phase boundary by calculating the Z2 invariants directly from thesingle-particle Green's function. The interactions push the phase boundary tolarger values of third-neighbor hopping, thus stabilizing the topologicalphase. The observation of boundary shifting entirely stems from quantum{\deg}uctuations. We also identify qualitative features of the single-particleGreen's function which are computationally useful in numerical searches fortopological phase transitions without the need to compute the full topologicalinvariant.

Topological phase transition in a generalized Kane-Mele-Hubbard model: A combined Quantum Monte Carlo and Green's function study