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The impact of Coulomb interaction on the electronic properties of a quantumspin-Hall insulator is studied using quantum cluster methods, disentanglinglocal from non-local effects. We identify different regimes, according to thevalue of the bare mass term, characterized by drastically different self-energycontributions. For small mass, non-local correlations start to be important andeventually dominate over local ones when getting close enough to the zero-masssemi-metallic line. For intermediate and large mass, local correlation effectsoutweigh non-local corrections, leading to a first-order topological phasetransition, in agreement with previous predictions.

Local vs non-local correlation effects in interacting quantum spin Hall insulators