Two-dimensional nature of superconductivity in the intercalated layered systems<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Li</mml:mi></mml:mrow><mml:mrow><mml:mi>x</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mi mathvariant="normal">HfNCl</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Li</mml:mi></mml:mrow><mml:mrow><mml:mi>x</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mi mathvariant="normal">ZrNCl</mml:mi><mml:mo>:</mml:mo></mml:math>Muon spin relaxation and magnetization measurements
Bibliographic record
Abstract
We report muon spin relaxation $(\ensuremath{\mu}\mathrm{SR})$ and magnetization measurements, together with synthesis and characterization, of the Li-intercalated layered superconductors ${\mathrm{Li}}_{x}\mathrm{HfNCl}$ and ${\mathrm{Li}}_{x}\mathrm{ZrNCl}$ with/without cointercalation of THF (tetrahydrofuran) or propylene carbonate. The three-dimensional superfluid density ${n}_{s}{/m}^{*}$ (superconducting carrier density/effective mass) as well as the two-dimensional superfluid density ${n}_{s2\mathrm{D}}{/m}_{\mathrm{ab}}^{*}$ [two-dimensional (2D) area density of superconducting carriers/ab-plane effective mass] have been derived from the $\ensuremath{\mu}\mathrm{SR}$ results of the magnetic-field penetration depth ${\ensuremath{\lambda}}_{\mathrm{ab}}$ observed with external magnetic field applied perpendicular to the 2D honeycomb layer of HfN/ZrN. In a plot of ${T}_{c}$ versus ${n}_{s2\mathrm{D}}{/m}_{\mathrm{ab}}^{*},$ most of the results lie close to the linear relationship found for underdoped high-${T}_{c}$ cuprate (HTSC) and layered organic BEDT (bis(ethylenedithio)) superconductors. In ${\mathrm{Li}}_{x}\mathrm{ZrNCl}$ without THF intercalation, the superfluid density and ${T}_{c}$ for $x=0.17$ and 0.4 do not show much difference, reminiscent of $\ensuremath{\mu}\mathrm{SR}$ results for some overdoped HTSC systems. Together with the absence of dependence of ${T}_{c}$ on average interlayer distance among ZrN/HfN layers, these results suggest that the 2D superfluid density ${n}_{s2\mathrm{D}}{/m}_{\mathrm{ab}}^{*}$ is a dominant determining factor for ${T}_{c}$ in the intercalated nitride-chloride systems. We also report $\ensuremath{\mu}\mathrm{SR}$ and magnetization results on depinning of flux vortices, and the magnetization results for the upper critical field ${H}_{c2}$ and the penetration depth $\ensuremath{\lambda}.$ A reasonable agreement was obtained between $\ensuremath{\mu}\mathrm{SR}$ and magnetization estimates of $\ensuremath{\lambda}.$ We discuss the two-dimensional nature of superconductivity in the nitride-chloride systems based on these results.
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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 | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.008 | 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".