Higher angular momentum pairing states in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi mathvariant="normal">Sr</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">RuO</mml:mi><mml:mn>4</mml:mn></mml:msub></mml:math> in the presence of longer-range interactions
Bibliographic record
Abstract
The superconducting symmetry of ${\mathrm{Sr}}_{2}\mathrm{Ru}{\mathrm{O}}_{4}$ remains a puzzle. Time-reversal symmetry breaking ${d}_{{x}^{2}\ensuremath{-}{y}^{2}}+i{g}_{xy({x}^{2}\ensuremath{-}{y}^{2})}$ pairing has been proposed for reconciling multiple key experiments. However, its stability remains unclear. In this work, we theoretically study the superconducting instabilities in ${\mathrm{Sr}}_{2}\mathrm{Ru}{\mathrm{O}}_{4}$, including the effects of spin-orbit coupling (SOC), in the presence of both local and longer-range interactions within a random-phase approximation. We show that the inclusion of second-nearest-neighbor repulsions, together with nonlocal SOC in the ${B}_{2g}$ channel or orbital-anisotropy of the nonlocal interactions, can have a significant impact on the stability of both ${d}_{{x}^{2}\ensuremath{-}{y}^{2}}$- and $g$-wave pairing channels. We analyze the properties, such as Knight shift and spontaneous edge current, of the realized ${d}_{{x}^{2}\ensuremath{-}{y}^{2}}+ig, {s}^{\ensuremath{'}}+i{d}_{xy}$, and mixed helical pairings in different parameter spaces, and we find that the ${d}_{{x}^{2}\ensuremath{-}{y}^{2}}+ig$ solution is in better agreement with the experimental data.
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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 | 0.002 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.002 |
| Meta-epidemiology (broad) | 0.001 | 0.003 |
| Bibliometrics | 0.000 | 0.003 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.002 |
| Open science | 0.003 | 0.003 |
| Research integrity | 0.001 | 0.003 |
| Insufficient payload (model declined to judge) | 0.076 | 0.002 |
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".