Abstract
We calculate the longitudinal ultrasonic attenuation rate (UAR) in clean d-wave superconductors in the Meissner and the mixed phases. In the Meissner phase we calculate the contribution of previously ignored processes involving the excitation of a pair of quasi-holes or quasi-particles. There is a contribution α T in the regime k B T《Q vF《Δ0 and a contribution α 1/T in the regime Q vF《k B T《Δ0. We find that these contributions to the UAR are large and cannot be ignored. In the mixed phase, using a semi-classical description, we calculate the electronic quasiparticle contribution to the UAR which at very low T, has a T independent term proportional to √H.
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