Phases of correlated spinless fermions on the honeycomb lattice

  title={Phases of correlated spinless fermions on the honeycomb lattice},
  author={M. Daghofer and Martin Hohenadler},
  journal={Physical Review B},
We use exact diagonalization and cluster perturbation theory to address the role of strong interactions and quantum fluctuations for spinless fermions on the honeycomb lattice. We find quantum fluctuations to be very pronounced both at weak and strong interactions. A weak second-neighbor Coulomb repulsion $V_2$ induces a tendency toward an interaction-generated quantum anomalous Hall phase, as borne out in mean-field theory. However, quantum fluctuations prevent the formation of a stable… 

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58 A real order parameter χ ij with opposite sign on the two sublattices likewise opens a gap which is , however , topologically trivial
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