Quantum magnetic properties of the SU(2N) Hubbard model in the square   lattice: a quantum Monte Carlo study
  We employ the determinant projector quantum Monte-Carlo method to investigate the ground state magnetic properties in the Mott insulating states of the half-filled SU(4) and SU(6) Fermi-Hubbard model in the 2D square lattice, which is free of the sign problem. The long-range antiferromagnetic Neel order is found for the SU(4) case with a small residual Neel moment. Quantum fluctuations are even stronger in the SU(6) case. Numeric results are consistent with either a vanishing or even weaker Neel ordering than that of SU(4). 
Zi Cai, Hsiang-Hsuan Hung, Lei Wang and Congjun Wu
cond-mat.str-el cond-mat.quant-gas