Abstract
The role of interlayer coupling in copper-oxide superconductors represents an open problem in high-${T}_{c}$ superconductivity. In this work, the energy gap and the density of states of a $t\ensuremath{-}J$ bilayer are analyzed for different value of the doping $\ensuremath{\delta}$ within a mean-field approximation. It is shown that an interlayer single-electron hopping increases the ratio $R=\frac{2\ensuremath{\Delta}}{K{T}_{c}}$ and that the extent of such increase depends strongly on the doping $\ensuremath{\delta}$. The density of states contains both BCS-like and logarithmic singularities and presents a multiple-peak structure, in qualitative agreement with recent tunneling experiments.
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