Ground-state phase diagram of the quantum J1−J2 model on the honeycomb lattice
Fabio Mezzacapo, Massimo Boninsegni
We study the ground-state phase diagram of the quantum ${J}_{1}\ensuremath{-}{J}_{2}$ model on the honeycomb lattice by means of an entangled-plaquette variational ansatz. Values of energy and relevant order parameters are computed in the range $0\ensuremath{\le}{J}_{2}/{J}_{1}\ensuremath{\le}1$. The system displays classical order for ${J}_{2}/{J}_{1}\ensuremath{\lesssim}0.2$ (N\'eel) and for ${J}_{2}/{J}_{1}\ensuremath{\gtrsim}0.4$ (collinear). In the intermediate region, the ground state is disordered. Our results show that the reduction of the half-filled Hubbard model to the model studied here does not yield accurate predictions.
arXiv:1109.3681•Physical Review B•Feb 8, 2012•94 citations