Phonon attenuation and quasiparticle–phonon energy transfer in<i>d</i>-wave superconductors
Bibliographic record
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 ${\ensuremath{\omega}}^{2}$ 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 ${v}_{f}{/v}_{2},$ which characterizes the anisotropy of quasiparticle energy at the node. We estimate the magnitude of the heat transfer rate in optimally doped ${\mathrm{YBa}}_{2}{\mathrm{Cu}}_{3}{\mathrm{O}}_{6+x}.$ We also compare our results for pure d-wave superconductors with measurements of the ultrasonic attenuation in ${\mathrm{Sr}}_{2}{\mathrm{RuO}}_{4}$ and discuss implications for the gap symmetry in that material.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".