Effect of suppression of the inelastic scattering rate on the penetration depth and conductivity in adx2−y2superconductor

We use a separable $d$-wave model to describe the momentum dependence of the pairing interaction in the gap channel. We include the inelastic scattering through a spectral density which describes the fluctuation spectrum responsible for superconductivity. The collapse of the scattering rate observed in microwave experiments is modeled through a low-frequency cutoff on the fluctuation spectrum. The effect of this cutoff on the temperature dependence of the magnetic-field penetration depth and on the infrared conductivity and associated scattering rates is calculated.