Local moments versus itinerant antiferromagnetism: Magnetic phase diagram and spectral properties of the anisotropic square lattice Hubbard model

Using a cluster extension of the dynamical mean-field theory (CDMFT) we map out magnetic phase diagram anisotropic square lattice Hubbard model with nearest-neighbor intrachain $t$ and interchain $t_{\perp}$ hopping amplitudes at half-filling. A fixed value next-nearest-neighbor $t'=-t_{\perp}/2$ removes nesting property Fermi surface stabilizes paramagnetic metal in weak-coupling regime. In isotropic moderately regions, growing spin entropy is quenched critical interaction strength by onset long-range antiferromagnetic (AF) order preformed local moments. It gives rise to first-order metal-insulator transition consistent Mott-Heisenberg picture. contrast, strongly regime $t_{\perp}/t\lesssim 0.3$ displays quantum behavior related continuous between an AF insulator. Hence, within present framework CDMFT, opening charge gap magnetically driven as advocated Slater We also discuss how lattice-anisotropy-induced evolution electronic structure on metallic side tied emergence criticality.