Signatures of the Mott transition in the antiferromagnetic state of the two-dimensional Hubbard model

The properties of a broken-symmetry phase can be strongly influenced by the underlying normal state. Here we study the two-dimensional Hubbard model using cellular dynamical mean-field theory with continuous-time quantum Monte Carlo to map out the N\'eel state as a function of interaction $U$ and temperature. We link a sharp change between weakly and strongly correlated antiferromagnetism to the underlying Mott metal-insulator transition at intermediate $U$. This result is based on a comparison of the values taken by the potential energy and the local density of states in the two phases, normal and antiferromagnetic.