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Fluctuation-induced topological quantum phase transitions in quantum spin-Hall and anomalous-Hall insulators

Fluctuation-induced topological quantum phase transitions in quantum spin-Hall and anomalous-Hall insulators

We investigate the role of quantum fluctuations in topological quantum phase transitions of quantum spin-Hall insulators and quantum anomalous-Hall insulators. Employing the variational cluster approximation to obtain the single-particle Green's function of the interacting many-body system, we characterize different phases by direct calculation of the recently proposed topological order parameter …