Phonon attenuation and quasiparticle–phonon energy transfer in d-wave superconductors
M. F. Smith, M. B. Walker
DOI 10.1103/PhysRevB.67.214509 · Physical Review B
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Abstract
We calculate the rate of energy transfer between phonons and quasiparticles that are out of thermal equilibrium in cuprate superconductors at temperatures below the impurity scattering rate. Phonons that give a significant contribution to phonon-quasiparticle energy transfer at millikelvin temperatures have frequencies that extend through the crossover frequency at which sound attenuation deviates from an ω2 frequency dependence. The crossover frequency for a given phonon depends on the direction of its in-plane momentum because of the anisotropy of the nodal quasiparticle energy dispersion relation. The temperature dependence of the heat transfer rate is thus sensitive to the ratio vf/v2, which characterizes the anisotropy of quasiparticle energy at the node. We estimate the magnitude of the heat transfer rate in optimally doped YBa2Cu3O6+x. We also compare our results for pure d-wave superconductors with measurements of the ultrasonic attenuation in Sr2RuO4 and discuss implications for the gap symmetry in that material.
Source-reported materials — not catalogue approval
| Formula | Reported Tc (K) | Pressure (GPa) | Type |
|---|---|---|---|
| YBa2Cu3O6+x Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | — | Pressure not reported | unknown |
| Sr2RuO4 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | — | Pressure not reported | unknown |
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