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arxiv: 2604.07807 · v1 · submitted 2026-04-09 · ❄️ cond-mat.supr-con

Granular Superconductivity in La₂PrNi₂O_(7-δ) Thin Films

Ziao Han , Lifen Xiang , X.J. Zhou , Zhihai Zhu This is my paper

Pith reviewed 2026-05-10 18:27 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con
keywords granular superconductivitynickelate thin filmstwo-step resistive transitionJosephson junctionsLa2PrNi2O7oxygen non-uniformityzero-resistance temperature
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The pith

The two-step resistive transition in La2PrNi2O7-δ thin films stems from granular superconductivity involving two distinct grain phases coupled by Josephson junctions.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper establishes that the persistent two-step transition observed in the resistance versus temperature curve of these bilayer nickelate thin films arises because superconductivity develops in two separate grain phases that are linked through a network of Josephson junctions. Even when resistance drops to near zero around 30 K in the higher-temperature phase, the junctions between grains require a lower temperature near 10 K to establish full zero-resistance superconductivity across the film. This granular structure therefore caps the usable superconducting transition temperature and blocks clean spectroscopic measurements. The authors tie the granularity to oxygen non-uniformity and conclude that better control of oxygen homogeneity is required to reach true bulk superconductivity.

Core claim

The two-step transition in La₂PrNi₂O₇₋δ thin films originates from the granular nature of superconductivity, specifically the coexistence of two distinct superconducting grain phases coupled by a Josephson junction network. A secondary, lower-temperature transition appears in the R(T) curve even when residual resistance becomes vanishingly small near 30 K, which significantly lowers the zero-resistance transition temperature T_{c,zero} ≈ 10 K and limits advanced spectroscopic studies.

What carries the argument

Josephson junction network that couples two distinct superconducting grain phases within the granular film microstructure

If this is right

  • The granular coupling lowers the practical zero-resistance temperature to roughly 10 K despite higher-temperature onset superconductivity.
  • Improved oxygen homogeneity is required to eliminate the secondary transition and reach bulk-like superconductivity.
  • The two-step behavior currently prevents reliable spectroscopic and transport studies at the optimal transition temperature.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Films grown under tighter oxygen control or on substrates that promote larger grains could suppress the lower-temperature step and raise T_{c,zero}.
  • Similar granularity effects may appear in other nickelate thin-film systems if oxygen stoichiometry is difficult to homogenize during growth.
  • Transport measurements that probe the current dependence of the transitions could map the Josephson coupling strength directly.

Load-bearing premise

The two-step transition is produced by two different superconducting grain phases joined by Josephson links rather than by structural defects or other forms of inhomogeneity unrelated to granularity.

What would settle it

Fabrication of La₂PrNi₂O₇₋δ films with uniform oxygen distribution and no evidence of distinct grain phases that nevertheless still exhibit a clear two-step resistive transition would disprove the granular mechanism.

Figures

Figures reproduced from arXiv: 2604.07807 by Lifen Xiang, X.J. Zhou, Zhihai Zhu, Ziao Han.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3 [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4 [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
read the original abstract

Superconductivity realized in bilayer nickelate thin films enables direct spectroscopic and transport studies at ambient pressure. However, a persistent two-step resistive transition remains a major barrier to achieving optimal superconducting properties. Here, we show that the two-step transition in La$_2$PrNi$_2$O$_{7-\delta}$ thin films originates from the granular nature of superconductivity, specifically, the coexistence of two distinct superconducting grain phases coupled by a Josephson junction network. A secondary, lower-temperature transition appears in the $R(T)$ curve, even when residual resistance becomes vanishingly small near 30 K. This two-step behavior significantly lowers the zero-resistance transition temperature, $T_{c, zero}$$\approx$ 10 K, and limits advanced spectroscopic studies. Our findings reveal the microscopic mechanism underlying the two-step transition in thin films and underscore the need for improved oxygen homogeneity to achieve bulk superconductivity in this system.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

3 major / 2 minor

Summary. The manuscript claims that the persistent two-step resistive transition in La₂PrNi₂O₇₋δ thin films originates from granular superconductivity, specifically the coexistence of two distinct superconducting grain phases coupled by a Josephson junction network due to oxygen non-uniformity. This mechanism produces a secondary lower-temperature transition in R(T) even as resistance vanishes near 30 K, resulting in a zero-resistance transition temperature T_{c,zero} ≈ 10 K that limits further studies; the authors conclude that improved oxygen homogeneity is required to achieve bulk superconductivity.

Significance. If the granular interpretation holds, the result would identify a concrete microscopic origin for the two-step transition that has hindered optimization of nickelate thin films, directly linking oxygen inhomogeneity to the suppression of T_{c,zero} and providing a clear target for synthesis improvements that could enable higher-quality samples for spectroscopy and transport.

major comments (3)
  1. [Results and Discussion] The central attribution of the two-step R(T) feature to two distinct grain phases coupled by Josephson junctions rests on transport data alone; no local structural, spectroscopic, or microstructural evidence (e.g., TEM, STM, or XRD mapping of grain boundaries) is presented to confirm the existence of discrete phases rather than a continuous oxygen gradient or non-granular inhomogeneity.
  2. [Transport measurements] No Josephson-specific signatures are reported, such as the magnetic-field dependence of the inter-grain critical current or the expected scaling of the lower transition with applied field or current; without these, the Josephson-network model cannot be distinguished from other sources of resistive broadening.
  3. [Discussion] The manuscript does not include quantitative modeling (e.g., effective-medium or percolation calculations) that would predict the observed ~20 K separation between the two transitions from plausible grain-size or oxygen-variation distributions, leaving the interpretation largely qualitative.
minor comments (2)
  1. [Abstract and Figure captions] Notation for the oxygen deficiency (δ) and the two transition temperatures should be defined consistently in the text and figures.
  2. [Abstract] The abstract states that residual resistance becomes 'vanishingly small near 30 K' yet T_{c,zero} ≈ 10 K; a brief clarification of how the intermediate plateau is quantified would improve readability.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for the constructive and detailed comments, which help clarify the strengths and limitations of our transport-based interpretation. We address each major comment point by point below, indicating where revisions will be made to the manuscript.

read point-by-point responses

  1. Referee: [Results and Discussion] The central attribution of the two-step R(T) feature to two distinct grain phases coupled by Josephson junctions rests on transport data alone; no local structural, spectroscopic, or microstructural evidence (e.g., TEM, STM, or XRD mapping of grain boundaries) is presented to confirm the existence of discrete phases rather than a continuous oxygen gradient or non-granular inhomogeneity.

    Authors: We agree that direct local probes would provide stronger confirmation of discrete grain phases and oxygen inhomogeneity. Our interpretation relies on the transport signatures, particularly the presence of two sharp, well-separated transitions whose field and current dependences differ markedly (as shown in the existing data). A continuous oxygen gradient would be expected to produce a single broadened transition rather than distinct steps persisting even when residual resistance is negligible. We will add a paragraph in the revised Discussion explicitly acknowledging this limitation and the desirability of future TEM or STM studies, while noting that the transport data remain inconsistent with a purely continuous inhomogeneity model. revision: partial

  2. Referee: [Transport measurements] No Josephson-specific signatures are reported, such as the magnetic-field dependence of the inter-grain critical current or the expected scaling of the lower transition with applied field or current; without these, the Josephson-network model cannot be distinguished from other sources of resistive broadening.

    Authors: The manuscript already presents magnetic-field sweeps (Figure 3) demonstrating that the lower transition is suppressed at lower fields than the upper one, consistent with weaker inter-grain Josephson coupling. We will expand the analysis section to include explicit discussion of the field and current scaling of the lower transition, referencing the existing datasets to quantify the critical current behavior and better differentiate the Josephson-network scenario from simple resistive broadening mechanisms. revision: yes

  3. Referee: [Discussion] The manuscript does not include quantitative modeling (e.g., effective-medium or percolation calculations) that would predict the observed ~20 K separation between the two transitions from plausible grain-size or oxygen-variation distributions, leaving the interpretation largely qualitative.

    Authors: We acknowledge that a quantitative model would strengthen the paper. However, without independent measurements of grain-size distributions or local oxygen profiles, any such calculation necessarily involves assumptions. In the revision we will incorporate a simple effective-medium estimate using plausible ranges of oxygen variation and grain sizes drawn from the literature on similar nickelate films; this will illustrate that the observed ~20 K separation is consistent with the model while remaining transparent about the assumptions involved. revision: partial

Circularity Check

0 steps flagged

No circularity: observational interpretation with no derivation chain or self-referential steps

full rationale

The paper presents an interpretive claim that the two-step resistive transition arises from granular superconductivity with two distinct grain phases coupled by a Josephson network, based on R(T) data showing a secondary transition near 10 K despite vanishing resistance near 30 K. No equations, derivations, fitted parameters, or predictions are described in the abstract or claim summary. The central attribution is a direct reading of transport observations rather than any reduction to self-defined quantities, fitted inputs renamed as predictions, or load-bearing self-citations. This makes the argument self-contained as an empirical interpretation without circular structure.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The abstract invokes the standard granular-superconductor model without introducing new free parameters, axioms beyond domain knowledge, or invented entities.

axioms (1)
  • domain assumption Granular superconductors display two-step resistive transitions arising from intra-grain superconductivity followed by inter-grain Josephson coupling.
    This is a standard framework in superconductivity literature applied here to interpret the R(T) data.

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discussion (0)

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Forward citations

Cited by 3 Pith papers

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  2. Experimental Progress in Ambient-Pressure Superconducting Bilayer Nickelate Films

    cond-mat.supr-con 2026-05 unverdicted novelty 2.0

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  3. Superconductivity in Ruddlesden-Popper nickelates: a review of recent progress, focusing on thin films

    cond-mat.supr-con 2026-04 unverdicted novelty 2.0

    The review covers experimental and theoretical progress on superconductivity in Ruddlesden-Popper nickelates, emphasizing ambient-pressure thin-film results in La3Ni2O7.

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