Abstract
We have calculated the attenuation of longitudinal ultrasound due to real order parameter fluctuations in impure polar and planarp-wave superconductors. The quasiparticle self-energy and the corresponding vertex corrections have been included in thet-matrix approximation for arbitrary scattering rate Γ=1/2τN and all scattering phase shiftsδ N (0≤δ N≤π/2). We obtain sound attenuation peaks belowT c whose heights, positions, and shapes depend on ω0 (sound frequency), Γ (》ω0),δ N, and η (coupling strength due to particle-hole asymmetry). The peaks become much more distinct and sharper for δ N =π/2 (resonant scattering by impurities) than forδ N=0 (Born approximation). By choosing Γ,δ N, and η suitably, qualitative agreement between calculated and observed peaks in UBe13 and UPt3 can be achieved.
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Lenck, S., Tewordt, L. Effect of resonant impurity scattering on collective mode peaks in the ultrasound attenuation of heavy fermion superconductors. J Low Temp Phys 73, 421–432 (1988). https://doi.org/10.1007/BF00683571
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DOI: https://doi.org/10.1007/BF00683571