  The possibility of novel behavior at interfaces between strongly and weakly
correlated materials has come under increased study recently. In this paper, we
use determinant Quantum Monte Carlo to determine the inter-penetration of
metallic and Mott insulator physics across an interface in the two dimensional
Hubbard Hamiltonian. We quantify the behavior of the density of states at the
Fermi level and the short and long range antiferromagnetism as functions of the
distance from the interface and with different interaction strength,
temperature and hopping across the interface. Induced metallic behavior into
the insulator is evident over several lattice spacings, whereas
antiferromagnetic correlations remain small on the metallic side. At large
interface hopping, singlets form between the two boundary layers, shielding the
two systems from each other.
