Finite Range Model Interaction Potential for d-wave Superconductors: Tc vs. Doping in the Cuprates

We study a simple BCS-like model which describes unconventional superconductivity on the basis of an electron-electron attraction corresponding to the delta-shell potential: $U(r)=-g\delta (r-r_0)$. It predicts a $T_c$ vs. doping behavior similar to that characteristic of the High-$T_c$ cuprates.