Pairing Correlations in the two-layer attractive Hubbard Model

Quantum Monte Carlo (QMC) is used to study pairing correlations in a two-layer Hubbard Model in which one layer is attractive ($U<0$), and the other uncorrelated ($U=0$). We provide a detailed characterization of how superconductivity in the $U<0$ layer induces pairing in the $U=0$ layer, as a function of the interlayer hopping, density, temperature, and on-site attraction strength in the $U<0$ layer. QMC data are complemented by calculations within the Bogoliubov - de Gennes approximation.