Abstract: | The magnetic correlation in the Hubbard model on a two-dimensional anisotropic triangular lattice is studied by using the determinant quantum Monte Carlo method. Around half filling, it is found that the increasing frustration t′/t could change the wave vector of maximum spin correlation along(π,π) → (π, 5π/6) → (5π/6, 5π/6) → (2π/3, 2π/3),indicating the frustration’s remarkable effect on the magnetism. In the studied filling region ?n? = 1.0 ? 1.3, the doping behaves like some kinds of frustration, which destroys the (π,π) AFM correlation quickly and push the magnetic order to a wide range of the (2π/3, 2π/3)120° order when the t′/t is large enough. Our non-perturbative calculations reveal a rich magnetic phase diagram over both the frustration and electron doping. |