Abstract
We develop a model for a bilayer superconductor in which there is a d-wave pairing interaction in one of the layers. With this model we calculate the density of states and penetration depth and discuss the effect of the second plane. We find that there is an induced gap in the non-superconducting layer and that there is a second gap which appears away from the Fermi surface in the superconducting state. We find that the induced gap is reflected in the penetration depth at temperatures comparable to the gap energy. We also calculate the c-axis penetration depth.
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