This series consists of talks in the area of Condensed Matter.
The stability of
topological insulators under electronic correlation has been an elusive yet
central topic. In this talk, we will discuss the correlation effects in the two
descendants of the Kane-Mele-Hubbard model, called generalized
Kane-Mele-Hubbard model and dimerized Kane-Mele-Hubbard model, by means of the
sign-free Quantum Monte Carlo (QMC) method. In the non-interacting limit, both
systems undergo topological phase transitions by tuning tight-binding (one-body)