<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>c</mml:mi></mml:math>-axis optical sum in underdoped superconducting cuprates
Bibliographic record
Abstract
In conventional metals, the total optical spectral weight under the real part of the dynamical conductivity remains unchanged in going from normal to superconducting state. In the underdoped cuprates, however, experiments found that the interlayer conductivity no longer respects this sum rule. Here, we find that a recently proposed phenomenological model of the pseudogap state which is based on ideas of a resonating valence bond spin liquid naturally leads to such a sum-rule violation. For the interplane charge transfer, a coherent tunneling model is used. We also obtain analytic results based on a simplification of the theory which reduces it to an arc model. This provides further insight into the effect of the opening of a pseudogap on the $c$-axis optical conductivity $\text{Re}[{\ensuremath{\sigma}}_{c}(\ensuremath{\omega})]$. The missing area under $\text{Re}[{\ensuremath{\sigma}}_{c}(\ensuremath{\omega})]$ normalized to the superfluid density, which is found to be one in the Fermi-liquid limit with no pseudogap, is considerably reduced when the pseudogap becomes large and the size of the Luttinger pockets or arcs is small.
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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 | 0.000 |
| 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 | 0.001 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.007 | 0.001 |
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".