Exchange Boson Dynamics in Cuprates: Optical Conductivity of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>HgBa</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi>CuO</mml:mi><mml:mrow><mml:mn>4</mml:mn><mml:mo>+</mml:mo><mml:mi>δ</mml:mi></mml:mrow></mml:msub></mml:math>
Bibliographic record
Abstract
The electron-boson spectral density function ${I}^{2}\ensuremath{\chi}(\ensuremath{\Omega})$ responsible for carrier scattering of the high temperature superconductor ${\mathrm{HgBa}}_{2}{\mathrm{CuO}}_{4+\ensuremath{\delta}}$ (${T}_{c}=90\text{ }\text{ }\mathrm{K}$) is calculated from new data on the optical scattering rate. A maximum entropy technique is used. Published data on ${\mathrm{HgBa}}_{2}{\mathrm{Ca}}_{2}{\mathrm{Cu}}_{3}{\mathrm{O}}_{8+\ensuremath{\delta}}$ (${T}_{c}=130\text{ }\text{ }\mathrm{K}$) are also inverted and these new results are put in the context of other known cases. All spectra (with two notable exceptions) show a peak at an energy (${\ensuremath{\Omega}}_{r}$) proportional to the superconducting transition temperature ${\ensuremath{\Omega}}_{r}\ensuremath{\approx}6.3{k}_{B}{T}_{c}$. This charge channel relationship follows closely the magnetic resonance seen by polarized neutron scattering, ${\ensuremath{\Omega}}_{r}^{\mathrm{neutron}}\ensuremath{\approx}5.4{k}_{B}{T}_{c}$. The amplitudes of both peaks decrease strongly with increasing temperature. In some cases, the peak at ${\ensuremath{\Omega}}_{r}$ is weak and the spectrum can have additional maxima and a background extending up to several hundred meV.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.003 | 0.002 |
| Meta-epidemiology (narrow) | 0.002 | 0.004 |
| Meta-epidemiology (broad) | 0.001 | 0.004 |
| Bibliometrics | 0.001 | 0.003 |
| Science and technology studies | 0.002 | 0.003 |
| Scholarly communication | 0.002 | 0.005 |
| Open science | 0.004 | 0.003 |
| Research integrity | 0.002 | 0.004 |
| Insufficient payload (model declined to judge) | 0.157 | 0.003 |
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; both teacher heads agree on what is shown here.
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".