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 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 | 0.007 | 0.006 |
| Meta-epidemiology (narrow) | 0.003 | 0.006 |
| Meta-epidemiology (broad) | 0.001 | 0.005 |
| Bibliometrics | 0.001 | 0.004 |
| Science and technology studies | 0.004 | 0.004 |
| Scholarly communication | 0.004 | 0.005 |
| Open science | 0.006 | 0.006 |
| Research integrity | 0.007 | 0.006 |
| Insufficient payload (model declined to judge) | 0.759 | 0.004 |
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".