Abstract
Based on a polaron concept the Hubbard-type model with correlated hoppings τ is analyzed for two adjacent layers. It is shown that the presence of the second layer can stabilize the two-fermion bound state of great radius. For a finite particle concentration c⪡1 the corresponding BCS Hamiltonian leads to a finite gap in the fermion spectrum even for the strong Hubbard repulsion Uå ¦τ¦.
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