Abstract
The effect of second-nearest-neighbour hopping on the transition temperature and the superconducting order parameter are investigated for d-wave superconductivity within the framework of the extended Hubbard model for both weak- and strong-correlation cases. The variation of the gap ratio with carrier concentration is studied. The isotope-shift exponent and the pressure coefficient of the transition temperature are investigated, taking into consideration isotopic mass and pressure dependences of the hopping and effective attractive interaction terms. The predicted variation of the isotope-shift exponent and the pressure coefficient with doping are in qualitative agreement with experimental findings for the oxides.
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