Inelastic-scattering rate on thermal conductivity of a dx2-y2 superconductor

calculate the electronic component of the thermal conductivity of a d(x2-y2) superconductor. We use a formalism in which the inelastic scattering is modeled explicitly through a spectral density which describes the fluctuation spectrum responsible for the superconducting transition and also for the large inelastic scattering observed in the normal state above T-c. The feedback effect of superconductivity on the spectral density is modeled by a low-frequency cutoff. For values of parameters used to successfully fit the measured microwave peak in pure and Zn- and Ni-doped Y-Ba-Cu-O we obtain good agreement with the experiment for the thermal conductivity. The effect of resonant impurity scattering is also considered, as is the zero-frequency conductivity, the Lorenz number, and the effect on these of the renormalization due to the inelastic scattering.