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Thermodynamic phase transition, pairing symmetry and Fermi surface topology in Ruddlesden-Popper nickelate films

T0 review · 5 major / 4 minor · reviewed 2026-08-05 · deepseek-v4-flash

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Pith's one-line read ARPES on strained La2PrNi2O7/NdAlO3 films reveals a nodeless superconducting gap that opens at TC and an electronic specific-heat jump, providing thermodynamic evidence for the nickelate superconducting transition.

desk verdict Credible ARPES gap and strain data, but the 'thermodynamic evidence' claim is an overreach: the specific-heat jump is reconstructed from the same spectra and the measured gap itself, not measured thermodynamically. read the letter →

arxiv 2608.03908 v1 pith:QLSYEWQB submitted 2026-08-04 cond-mat.supr-con cond-mat.str-el

Yu Miao , Zhiwei Wang , Hongxu Sun , Jianchang Shen , Runqing Luan , Zhipeng Ou , Xinru Yong , Zhenyu Wang
show 4 more authors
Tao Wu Haoyu Hu Junfeng He Xianhui Chen
This is my paper
classification cond-mat.supr-concond-mat.str-el
keywords Ruddlesden-Poppernickelatesunconventionalsuperconductivityangle-resolvedphotoemissionspectroscopysuperconductinggapnodelesspairingspecificheatFermisurfacetopologyLa2PrNi2O7
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

This paper reports angle-resolved photoemission measurements on compressively strained La2PrNi2O7/NdAlO3 films, a Ruddlesden-Popper nickelate superconductor with zero resistance near 33 K and onset near 60 K. The authors find a superconducting gap of about 16 meV that opens at the transport onset, with sharp coherence peaks and no pseudogap above TC. By integrating the measured spectra over momentum, they reconstruct the electron density of states and, following a method used in cuprates, extract the electronic entropy and specific heat; they find a jump at TC, which they present as the missing thermodynamic evidence for the superconducting phase transition in nickelates. They also show the gap is nodeless, favoring s-wave or s± pairing over d-wave, and that the γ Fermi pocket appears in all films regardless of strain, so its mere presence does not control superconductivity.

What carries the argument

The central objects are the ARPES-measured superconducting gap Δ(T), quantified by coherence peaks in symmetrized energy distribution curves, and the momentum-integrated electron density of states DOS(E). The paper uses the BCS superconducting density of states, convolved with a Gaussian resolution function, together with the entropy integral S = -kB∫[f ln f + (1-f) ln(1-f)] DOS(E) dE and γs = dS/dT, following the cuprate ARPES-to-specific-heat practice. The nodeless character of the gap along the Brillouin-zone diagonal carries the pairing-symmetry conclusion, while the presence and size of the γ pocket across different substrates carries the Fermi-surface-topology conclusion.

What would settle it

Measure the actual bulk specific heat of the same La2PrNi2O7/NdAlO3 films around 60 K, or repeat the density-of-states reconstruction using ARPES spectra integrated over the whole Brillouin zone; if no specific-heat jump survives in either case, the paper's thermodynamic claim is falsified.

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Extended reading notes

Core claim

On a compressively strained La2PrNi2O7/NdAlO3 film, laser ARPES along the Brillouin-zone diagonal reveals a superconducting gap of about 16 meV at 10 K, with prominent coherence peaks and Bogoliubov back-bending. The gap closes at the transport-defined TC, and no pseudogap appears above TC, so the measured gap is taken to be the superconducting order parameter itself. Integrating the same spectra over momentum yields a drop in the density of states at the Fermi level across TC and a corresponding jump in the electronic specific-heat coefficient; a second estimate built from the measured gap via the BCS density of states also shows a jump. The paper concludes that these results provide the mi

Load-bearing premise

The load-bearing premise is that the momentum-integrated spectral weight measured along one diagonal cut of the Brillouin zone faithfully represents the full electronic density of states; if that cut is not representative, the extracted specific-heat jump is just the gap opening restated, not a thermodynamic measurement.

Editorial extensions

If this is right

  • If the ARPES-derived specific-heat jump is genuine, nickelate films now have the same triad of evidence as conventional superconductors: zero resistance, diamagnetism, and a thermodynamic jump at TC.
  • A nodeless gap that closes exactly at TC rules out a pure d-wave order parameter on the dx2-y2 bands, supporting s-wave or s± pairing in RP nickelates.
  • The coexistence of the γ (dz2) pocket in superconducting and non-superconducting films means the emergence of superconductivity is not controlled simply by the presence of that pocket.
  • Hole doping in the films places the Fermi level where the γ band is steep; strain mainly reshapes the β pocket, so strain-induced superconductivity is more likely tied to other effects such as octahedral tilts or bosonic-mode coupling.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • A natural next test is direct calorimetry on the same heterostructures; the paper's method could be validated or falsified by a bulk specific-heat jump of comparable shape and size.
  • If the nodeless, pseudogap-free gap is confirmed by other techniques, it sharpens the theoretical constraint: any acceptable pairing theory for RP nickelates must produce a fully gapped order parameter on the relevant Fermi sheets.
  • The ARPES-derived specific-heat procedure could be exported to other thin-film superconductors where bulk calorimetry is impractical, provided the momentum integration covers the full Brillouin zone rather than a single cut.
  • Strain studies that vary compressive strain continuously could test whether the bosonic mode implicated by the observed electron-boson coupling is the quantity that tracks TC.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

5 major / 4 minor

Summary. The manuscript reports laser- and synchrotron-based ARPES measurements on compressively strained La2PrNi2O7/NdAlO3 Ruddlesden–Popper nickelate films. The authors observe a ~16 meV superconducting gap with coherence peaks along the Brillouin-zone diagonal, show that the gap closes by ~60–90 K without a pseudogap, and identify α, β, and γ Fermi pockets. They further extract an electronic entropy and specific-heat coefficient from the momentum-integrated ARPES DOS and from the measured gap, reporting a jump at TC, which they interpret as thermodynamic evidence for the superconducting transition. Strain-dependent measurements show the γ pocket in all films, and DFT is used to discuss Fermi-surface evolution. The paper claims nodeless pairing and s-wave (s±) symmetry.

Significance. The raw spectroscopic observations are valuable: a clean gap closing at TC with no pseudogap is exactly what is needed to identify the superconducting order parameter in a nickelate film, and the strain-dependent Fermi-surface survey is systematic. If the specific-heat jump were genuinely thermodynamic, this would be a major advance and the first such evidence in nickelates. However, the thermodynamic claim is not supported by the analysis as presented. The entropy input is either a single-cut DOS or the measured gap itself, so the 'jump' is a transformation of the gap-opening observation; no absolute heat-capacity anomaly is measured. The nodeless claim is also stronger than the single-cut data justify. The paper's significance is therefore contingent on reframing the claims and providing the missing support.

major comments (5)
  1. [Fig. 3a–c and Methods] The DOS(E) used in the entropy integral is obtained by integrating ARPES spectra over momentum along a single BZ-diagonal cut (red line in Fig. 3a inset). The measured Fermi surface contains α, β, and γ pockets with different orbital characters, and ARPES matrix elements weight different cuts and photon energies differently. No evidence is provided that this one-dimensional cut is proportional to the total DOS required by S = −kB∫[f ln f + (1−f) ln(1−f)] DOS(E)dE. Consequently γs^DOS and its 'jump' at TC are cut-specific spectral quantities, not a thermodynamic specific-heat jump. This directly undermines the abstract's 'missing thermodynamic evidence' claim.
  2. [Methods: Extraction from Δ; Fig. 3e] γs^Δ is computed by inserting the measured Δ(T) into the BCS density of states D_s^0(E,T) and differentiating the resulting entropy. Since Δ(T) is defined to vanish near TC, a peak in γs^Δ at TC is a mathematical consequence of the gap-opening observation, not an independent thermodynamic signature. The curve is normalized to its value at 80 K, so no absolute heat-capacity anomaly is reported. This is a restatement, not 'further demonstrating a thermodynamic phase transition.'
  3. [Fig. 3b] DOS(EF) integrates the momentum-integrated EDC only over EF ± 5 meV, whereas the measured gap is ~16 meV. The observed 'sudden drop' across TC is therefore dominated by the depletion of spectral weight within the gap window—i.e., the same gap opening already shown in Fig. 2. The derivative peak in Fig. 3c is a reprocessing of that effect, not a new thermodynamic observable.
  4. [Fig. 1e–h and Fig. 2] The superconducting gap is measured along a single BZ-diagonal cut. A finite gap at this location does exclude the canonical d-wave node that lies on that diagonal, but it does not by itself map the gap over the full Fermi surface. The statement that 'a nodeless behavior is unambiguously established' is stronger than the presented data support; additional k_F points or a full gap map are needed.
  5. [§4, thermodynamic-evidence paragraph] The text concedes that the relations used for both types of specific-heat analysis 'become inexact with strong electronic correlation.' This concession directly weakens the central claim, because RP nickelates are strongly correlated. The manuscript does not quantify the error or show why a qualitative jump survives. As written, the thermodynamic conclusion is not established.
minor comments (4)
  1. [Fig. 3c,e] Since γs^DOS and γs^Δ are normalized to their 80 K values, the y-axes are dimensionless; please state this explicitly and consider showing the unnormalized relative change so the reader can judge the magnitude of the reported anomaly.
  2. [Fig. 2c] The dashed line is described as 'BCS-like'; please specify the gap equation, Δ0, and TC used for the curve rather than leaving it as a generic dashed guide.
  3. [Methods/DFT] The calculations are performed in a single-layer limit, while the measured films are 3 UC thick. Please justify this approximation or discuss possible finite-thickness effects on the γ-band dispersion and Fermi-surface comparison.
  4. [Methods entropy equation] In the equation for S^Δ, clarify whether DOS is the normal-state or superconducting DOS and state the integration limits; the current typesetting is confusing. Several references are also preprints (e.g., refs. 24, 28, 29, 33, 38, 40) and should be updated if published versions exist.

Circularity Check

2 steps flagged · score 6.0 of 10

The claimed 'thermodynamic evidence' is derived from the same measured gap and spectra: both computed specific-heat jumps are restatements of gap opening, not independent calorimetry.

  1. self definitional [Main text p. 4 and Methods, 'Extraction of electronic specific heat coefficient from the measured superconducting gap Δ']
    "Alternatively, the electronic entropy S and specific heat coefficient γs can also be estimated by the measured superconducting order parameter Δ [1,2,31]. ... With the experimentally measured superconducting gap Δ, the electronic entropy SΔ was calculated by SΔ = −kB ∫ Ds(E,T)[f ln f + (1−f) ln(1−f)] dE, and the electronic specific heat coefficient γsΔ was obtained by γsΔ = dSΔ/dT."

    The specific-heat estimate γsΔ is generated by inserting the measured Δ(T) into the BCS density of states Ds0(E,T)=DN(EF)|E|/√(E²−Δ²) and then differentiating the resulting entropy. Consequently, whenever Δ(T) vanishes at TC, γsΔ exhibits a jump at TC by construction; the 'jump' contains no calorimetric information beyond gap closing. The paper's own wording ('estimated by the measured superconducting order parameter Δ') concedes that the input is the very quantity the thermodynamic claim is supposed to corroborate. This is a mathematical transformation of the gap-opening observation, not independent thermodynamic evidence.

  2. renaming known result [Main text p. 4 and Fig. 3 caption]
    "we obtain the DOS(E) by integrating the photoemission spectra over momentum (Fig. 3a)... A sudden drop of the electron density of states is directly identified across TC, resulting in a peak at ~TC in the temperature derivative dDOS(EF)NorT/dT (Fig. 3c). Concomitantly, the extracted electronic specific heat coefficient γsDOS exhibits a jump at ~TC. Fig. 3 caption: Temperature evolution of the momentum-integrated EDC, measured along the BZ diagonal."

    The DOS used for γsDOS is the momentum-integrated EDC along a single BZ diagonal, i.e. the same measurement in which the superconducting gap is observed. The 'sudden drop of DOS(EF) across TC' is the spectral-weight depletion caused by gap opening; its temperature derivative is therefore the rate at which the measured gap closes, not an independent thermodynamic measurement. Both γsDOS and γsΔ are normalized to their 80 K values, so no absolute heat-capacity anomaly is obtained. The 'missing thermodynamic evidence' thus reduces to a renamed, model-dependent restatement of the gap-opening observation.

full rationale

The paper contains substantial independent observations: the superconducting gap opens at TC with coherence peaks, the gap is nodeless, and Fermi-surface topology and strain dependence are mapped. Those parts are not circular. However, the central claim of providing 'thermodynamic evidence' for the superconducting phase transition is constructed from the same gap and the same ARPES spectra that show the gap. The γsΔ route is explicit: the measured Δ(T) is inserted into a BCS density of states and differentiated, so the resulting 'specific heat jump' is forced by Δ(TC)=0 and is merely a restatement of the gap opening. The γsDOS route uses the momentum-integrated EDC along one BZ diagonal as the electronic DOS; the drop of that quantity across TC is the gap-induced depletion, so its derivative is again the gap-closing signature dressed up as a specific-heat coefficient. No absolute heat-capacity scale is measured; both curves are normalized. Thus, relative to the paper's headline thermodynamic claim, the 'jump' reduces by construction to the already-observed gap opening. This is partial circularity of the central thermodynamic-evidence claim, but not of the whole paper, so a score of 6 is appropriate. The self-citations to film growth and prior ARPES work are not load-bearing for this circularity, and the DFT/band-structure content is external.

Assumptions & free parameters 2 free parameters · 4 assumptions · 0 invented entities

The thermodynamic inference rests on treating a single-cut ARPES spectrum as the full DOS and on transferring cuprate entropy formulas to a strongly correlated nickelate. The DFT comparison uses an unspecified hole doping amount to match experiment. No new particles, fields, or conserved quantities are introduced; the s-plus-minus pairing is an interpretation of the measured gap, not a new entity.

free parameters (2)
  • DFT hole doping = unspecified 'substantial hole doping'
    Added to the band calculations in Fig. 4c to mimic the experimental ARPES Fermi surface; the paper states its physical origin is unclear.
  • DOS(EF) integration window = EF +/- 5 meV
    Chosen by hand for Fig. 3b; the size and shape of the reported DOS jump depend on this window, and no systematic scan or error estimate is shown.
assumptions (4)
  • domain assumption A momentum-integrated EDC along a single BZ diagonal cut represents the full electronic DOS for entropy and specific heat calculations.
    Fig. 3a integrates spectra only along the BZ diagonal, while the thermodynamic entropy formula requires the total DOS over the full Brillouin zone.
  • domain assumption The BCS-like density of states built from the measured gap Delta(T) and convolved with a Gaussian describes the electronic entropy of this strongly correlated nickelate.
    Stated in Methods; the paper itself notes the relations become inexact with strong electronic correlation.
  • domain assumption The cuprate practice of extracting electronic specific heat from ARPES DOS transfers quantitatively to RP nickelate films.
    Invoked via refs. [2,30] to justify the gamma_s extraction; no bulk specific heat comparison is available for this material.
  • domain assumption The phenomenological spectral function of ref. [41] is an appropriate model for the superconducting gap and coherence peaks in these films.
    Used to fit the symmetrized EDC and extract Delta = 16 meV in Fig. 1g.

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Pith. "Pith review of Thermodynamic phase transition, pairing symmetry and Fermi surface topology in Ruddlesden-Popper nickelate films." pith.science (2026). https://pith.science/paper/QLSYEWQB

@misc{pith2026260803908,
  author       = {Pith},
  title        = {Pith review of: Thermodynamic phase transition, pairing symmetry and Fermi surface topology in Ruddlesden-Popper nickelate films},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/QLSYEWQB}},
  note         = {Machine review of arXiv:2608.03908}
}
abstract

Ruddlesden-Popper (RP) nickelates provide an uncharted territory to explore high-transition-temperature (high-$T_C$) superconductivity and superconducting mechanism. Here, we investigate the electronic structure of a new type of high-$T_C$ superconducting RP nickelate heterostructure $\mathrm{La_2PrNi_2O_7/NdAlO_3}$ by angle-resolved photoemission spectroscopy. A superconducting state is observed without a pseudogap state, enabling a direct measurement of the superconducting order parameter and a microscopic extraction of the electronic specific heat. The observed superconducting gap opens at $T_C$ with prominent coherence peaks, illustrating the emergence of nonzero order parameter upon entering the superconducting state. An electronic specific heat jump appears at $T_C$, further demonstrating a thermodynamic phase transition. The magnitude of the superconducting order parameter is quantified by the observed superconducting coherence peaks, and a nodeless behavior is unambiguously established in the absence of pseudogap. The underlying Fermi surface consists of $\alpha$, $\beta$ and $\gamma$ pockets, exhibiting a multi-orbital nature. Strain dependent measurements further reveal the $\gamma$ pocket in all superconducting and non-superconducting films with different epitaxial strain. Our results establish the missing thermodynamic evidence for superconducting phase transition in nickelates. They also provide direct evidence for the symmetry of the superconducting order parameter and illustrate the relationship between Fermi surface topology and the emergence of superconductivity in RP nickelate films.

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Works this paper leans on

50 extracted references · 34 canonical work pages

  1. [1]

    Introduction to Superconductivity (Dover, 2004)

    Tinkham, M. Introduction to Superconductivity (Dover, 2004)

    work page 2004

  2. [2]

    Chen, S. -D. et al. Unconventional spectral signature of T C in a pure d -wave superconductor. Nature 601, 562–567 (2022)

    work page 2022

  3. [3]

    Li, D. et al. Superconductivity in an infinite -layer nickelate. Nature 572, 624–627 (2019). 7

    work page 2019

  4. [4]

    Pan, G. A. et al. Superconductivity in a quintuple -layer square-planar nickelate. Nat. Mater. 21, 160–164 (2022)

    2022

  5. [5]

    Lee, K. et al. Linear -in-temperature resistivity for optimally superconducting (Nd,Sr)NiO2. Nature 619, 288–292 (2023)

    2023

  6. [6]

    Sun, H. et al. Signatures of superconductivity near 80 K in a nickelate under high pressure. Nature 621, 493–498 (2023)

    2023

  7. [7]

    Li, Q. et al. Signature of superconductivity in pressurized La4Ni3O10. Chin. Phys. Lett. 41, 017401 (2024)

    work page 2024

  8. [8]

    Zhang, Y. et al. High-temperature superconductivity with zero resistance and strange- metal behaviour in La3Ni2O7−δ. Nat. Phys. 20, 1269–1273 (2024)

    work page 2024

Show all 50 references
  1. [9]

    Zhu, Y. et al. Superconductivity in pressurized trilayer La 4Ni3O10−δ single crystals. Nature 631, 531–536 (2024)

    2024

  2. [10]

    Wang, N. et al. Bulk high-temperature superconductivity in pressurized tetragonal La2PrNi2O7. Nature 634, 579–584 (2024)

    2024

  3. [11]

    Ko, E. K. et al. Signatures of ambient pressure superconductivity in thin film La3Ni2O7. Nature 638, 935–940 (2025)

    2025

  4. [12]

    Zhou, G. et al. Ambient-pressure superconductivity onset above 40 K in (La,Pr)3Ni2O7 films. Nature 640, 641–646 (2025)

    2025

  5. [13]

    Chow, S. L. E., Luo, Z. & Ariando, A. Bulk superconductivity near 40 K in hole-doped SmNiO2 at ambient pressure. Nature 642, 58–63 (2025)

    2025

  6. [14]

    Zhang, M. et al. Superconductivity in trilayer nickelate La 4Ni3O10 under pressure. Phys. Rev. X 15, 021005 (2025)

    2025

  7. [15]

    Liu, Y. et al. Superconductivity and normal-state transport in compressively strained La2PrNi2O7 thin films. Nat. Mater. 24, 1221–1227 (2025)

    2025

  8. [16]

    Hao, B. et al. Superconductivity in Sr -doped La 3Ni2O7 thin films. Nat. Mater. 24, 1756–1762 (2025)

    2025

  9. [17]

    Shi, M. et al. Pressure induced superconductivity in hybrid Ruddlesden- Popper La5Ni3O11 single crystals. Nat. Phys. 21, 1780–1786 (2025)

    2025

  10. [18]

    Wang, Y . et al. Recent progress in nickelate superconductors. Natl Sci. Rev. 12, nwaf373 (2025). 8

    2025

  11. [19]

    Li, F. et al. Bulk superconductivity up to 96 K in pressurized nickelate single crystals. Nature 649, 871–878 (2026)

    2026

  12. [20]

    & Hepting, M

    Puphal, P ., Schäfer, T., Keimer, B. & Hepting, M. Superconductivity in infinite-layer and Ruddlesden-Popper nickelates. Nat. Rev. Phys. 8, 70–85 (2026)

    2026

  13. [21]

    Zhou, G. et al. Superconductivity onset above 60 K in ambient -pressure nickelate films. Natl Sci. Rev. 13, nwag151 (2026)

    2026

  14. [22]

    Nie, Z. et al. Superconductivity and electronic structures of nickelate thin film superstructures. Nature 652, 628–634 (2026)

    2026

  15. [23]

    Shen, J. et al. Nodeless superconducting gap and electron -boson coupling in (La,Pr,Sm)3Ni2O7 films. Science 392, 1396–1400 (2026)

    2026

  16. [24]

    Wang, Z. et al. Electron -like high- temperature superconductivity induced by compressive strain in La 2PrNi2O7 thin films. Preprint at https://arxiv.org/abs/2608.01295 (2026)

    2026 arXiv

  17. [25]

    Yang, J. et al. Orbital -dependent electron correlation in double -layer nickelate La3Ni2O7. Nat. Commun. 15, 4373 (2024)

    2024

  18. [26]

    & Shen, Z

    Damascelli, A., Hussain, Z. & Shen, Z. -X. Angle-resolved photoemission studies of the cuprate superconductors. Rev. Mod. Phys. 75, 473–541 (2003)

    2003

  19. [27]

    A., He, Y

    Sobota, J. A., He, Y. & Shen, Z.-X. Angle-resolved photoemission studies of quantum materials. Rev. Mod. Phys. 93, 025006 (2021)

    2021

  20. [28]

    Zhang, S. et al. Interlayer hybridization enables superconductivity in bilayer nickelates. Preprint at https://arxiv.org/abs/2604.14701v2 (2026)

    2026 arXiv

  21. [29]

    Chen, X. et al. 3dz 2 orbital delocalization and magnetic collapse in superconducting (La,Pr)3Ni2O7-δ films. Preprint at https://arxiv.org/abs/2604.21899v2 (2026)

    2026 arXiv

  22. [30]

    R., Randeria, M., Jankó, B

    Norman, M. R., Randeria, M., Jankó, B. & Campuzano, J. C. Condensation energy and spectral functions in high-temperature superconductors. Phys. Rev. B 61, 14742 (2000)

    2000

  23. [31]

    Schrieffer, J. R. & Brooks, J. S. Handbook of High- Temperature Superconductivity: Theory and Experiment (Springer, 2007)

    2007

  24. [32]

    Li, P. et al. Angle -resolved photoemission spectroscopy of superconducting (La,Pr)3Ni2O7/SrLaAlO4 heterostructures. Natl Sci. Rev. 12, nwaf205 (2025)

    2025

  25. [33]

    Miao, Y. et al. Electronic structures across superconductor –insulator transition in Ruddlesden-Popper bilayer nickelate films. Preprint at https://arxiv.org/abs/2502.18068v2 9 (2025)

    2025 arXiv

  26. [34]

    Wang, B. Y. et al. Electronic structure of compressively strained bilayer nickelate thin film. Phys. Rev. X 16, 031008 (2026)

    2026

  27. [35]

    Sun, W. et al. Observation of superconductivity-induced leading-edge gap in a bilayer nickelate. Nat. Phys. https://doi.org/10.1038/s41567-026-03396-z (2026)

    2026 doi

  28. [36]

    Li, Y. et al. Three-dimensional electronic structures in superconducting Ruddlesden- Popper bilayer nickelate films. Phys. Rev. X 16, 031016 (2026)

    2026

  29. [37]

    Dong, Z. et al. Interstitial oxygen order and its competition with superconductivity in La2PrNi2O7+δ. Nat. Mater. 24, 1927–1934 (2025)

    1927

  30. [38]

    Liu, Y . et al. A superconducting half -dome in bilayer nickelates. Preprint at https://arxiv.org/abs/2603.12196 (2026)

    2026

  31. [39]

    Bhatt, L. et al. Structural modifications in strain -engineered bilayer nickelate thin films. Nature 653, 76–82 (2026)

    2026

  32. [40]

    Zhong, H. et al. Spin correlations in La 3Ni2O7 thin films. Preprint at https://arxiv.org/abs/2502.03178v5 (2025)

    2025 arXiv

  33. [41]

    R., Randeria, M., Ding, H

    Norman, M. R., Randeria, M., Ding, H. & Campuzano, J. C. Phenomenology of the low-energy spectral function in high- TC superconductors. Phys. Rev. B 57, R11093– R11096 (1998). Methods Thin film growth La2PrNi2O7 thin f ilms were grown on as -received NdAlO 3(001), SrLaAlO 4(00...

    1998

  34. [42]

    Blöchl, P. E. Projector augmented -wave method. Phys. Rev. B 50, 17953–17979 (1994)

    1994

  35. [43]

    & Joubert, D

    Kresse, G. & Joubert, D. From ultrasoft pseudopotentials to the projector augmented- wave method. Phys. Rev. B 59, 1758–1775 (1999)

    1999

  36. [44]

    Giannozzi, P. et al. QUANTUM ESPRESSO: a modular and open- source software project for quantum simulations of materials. J. Phys. Condens. Matter 21, 395502 (2009)

    2009

  37. [45]

    Giannozzi, P. et al. Advanced capabilities for materials modelling with QUANTUM ESPRESSO. J. Phys. Condens. Matter 29, 465901 (2017)

    2017

  38. [46]

    P., Burke, K

    Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made 12 simple. Phys. Rev. Lett. 77, 3865–3868 (1996)

    1996

  39. [47]

    Monkhorst, H. J. & Pack, J. D. Special points for Brillouin -zone integrations. Phys. Rev. B 13, 5188–5192 (1976)

    1976

  40. [48]

    Pizzi, G. et al. Wannier90 as a community code: new features and applications. J. Phys. Condens. Matter 32, 165902 (2020)

    2020

  41. [49]

    Mostofi, A. A. et al. W annier90: a tool for obtaining maximally -localised Wannier functions. Comput. Phys. Commun. 178, 685–699 (2008)

    2008

  42. [50]

    Bardeen, J., Cooper, L. N. & Schrieffer, J. R. Theory of superconductivity. Phys. Rev. 108, 1175–1204 (1957). Data availability: All data are available in the main text or the extended data. Acknowledgments: We acknowledge the support by the Scientific Research Innovation Capa...

    1957

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