Correlation effects in quantum spin-Hall insulators: a quantum Monte Carlo study.

  title={Correlation effects in quantum spin-Hall insulators: a quantum Monte Carlo study.},
  author={Martin Hohenadler and Thomas C. Lang and Fakher F. Assaad},
  journal={Physical review letters},
  volume={106 10},
We consider the Kane-Mele model supplemented by a Hubbard U term. The phase diagram is mapped out using projective auxiliary field quantum Monte Carlo simulations. The quantum spin liquid of the Hubbard model is robust against weak spin-orbit interaction, and is not adiabatically connected to the spin-Hall insulating state. Beyond a critical value of U>U(c) both states are unstable toward magnetic ordering. In the quantum spin-Hall state we study the spin, charge, and single-particle dynamics… 

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