Quantum Monte Carlo simulation of the power-law correlated SU(6) quantum magnets with $^{132}$Yb fermions

We systematically investigate the half-filled SU(2N) Hubbard model on the two dimensional square lattice, using the projector quantum Monte-Carlo method which is free of sign problem. We find that the ground state changes from the long-range Neel order in the SU(2) case to a paramagnetic state in the large N limit, in which no long-range order was observed. Employing Maximum entropy method to analytically continue imaginary-time data, we obtain both one-particle and two-particle spectral functions in the whole Brillouin zone. As N increases, the charge gap is quickly suppressed and the spin-wave feature with linear dispersion around ($\pi$,$\pi$) is finally destroyed. The related physics is discussed as well as some applications to the experiments.