Abstract
We study theoretically the optical conductivity of d-wave superconductors like in high temperature cuprates in the presence of impurities. We limit ourselves at T=0K and focus on the frequency dependence of both sigma_1(omega) and ω*σ_2(omega) for omega<2Delta. When the impurity scattering is in the unitary limit, we find a peak in sigma_1(omega) with omega/Delta\simeq 0.1\sim 0.5$, which may account for the peak seen by Basov et al. in Zn-substituted YBCO.
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