  Studies of systems with two fermionic bands with repulsive interaction
strength U have a long history, with the Periodic Anderson Model (PAM) being
one of the most frequently considered Hamiltonians. In this paper, we use
Quantum Monte Carlo to study analogous issues for attractive interactions. As
in the Periodic Anderson Model, we focus on a case where one band is
uncorrelated (U=0), and focus on the effect of hybridization V between the
bands on the pairing correlations. A key difference with the PAM is that there
is no sign problem, so that we are able to explore the physics of doped
multi-band attractive systems at low temperatures whereas ground state
properties of repulsive models can be determined only at half-filling. For
small V, pairing in the U<0 layer induces pairing in the U=0 layer. At larger V
the ground state of the coupled system loses its superconducting character. The
Quantum Monte Carlo data are complemented by results obtained with the
Bogoliubov-de Gennes approximation.
