Pith. sign in

REVIEW 3 major objections 5 minor 2 cited by

Possible Enhancement of Superconductivity in Ambient-Pressure La$_3$Ni$_2$O$_7$ Thin Film

T0 review · 3 major / 5 minor · reviewed 2026-08-02 · deepseek-v4-flash

Pith's one-line read A small δ pocket at the zone center can substantially strengthen s±-wave pairing in La3Ni2O7 thin films, and the paper identifies strain or doping as the way to create it.

desk verdict A clean within-model demonstration that a δ pocket near Γ boosts s± pairing in their nickelate film model—but the pocket itself is unobserved, so treat the mechanism as conditional. read the letter →

arxiv 2603.02685 v3 pith:OORCCVQM submitted 2026-03-03 cond-mat.supr-con

classification cond-mat.supr-con
keywords La3Ni2O7thinfilmsambient-pressuresuperconductivityspin-fluctuationpairingFermi-surfacenestings±-wavedz2antibondingorbitaldopingdomefluctuationexchangeapproximation
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 argues that the ambient-pressure nickelate film can be made to pair more strongly if a particular small Fermi pocket—the δ pocket, built from the antibonding dz2 orbital—appears near the Brillouin-zone center. Using the fluctuation-exchange approximation on a two-orbital model of La3Ni2O7, the authors show that when this pocket is present its nesting with the γ pocket cooperates with nesting between the α and β pockets at the same wave vector. That cooperation sharpens spin fluctuations and raises the leading s±-wave pairing indicator to a doping dome near electron filling n ≈ 1.42. A controlled numerical experiment that removes the δ pocket eliminates the dome, so the paper identifies this pocket as the agent of the enhancement. The practical payoff would be a concrete recipe—expand the c axis or dope toward that filling—to improve superconductivity at ambient pressure.

What carries the argument

The central object is the δ pocket: a small electron-like Fermi-surface sheet around Γ formed by the antibonding dz2 orbital, which appears when the interlayer dz2 hopping is small enough (as it is in the thin film) to bring bonding and antibonding states close in energy. The argument is carried by two linked indicators computed with the fluctuation-exchange approximation—the spin susceptibility χS(q), whose largest eigenvalue reveals the dominant nesting wave vector, and the largest eigenvalue λ of the linearized Eliashberg equation, whose approach to 1 signals a superconducting instability. The key identity is that the δ–γ and α–β nesting processes share the same wave vector Q1, so they co

What would settle it

A decisive experiment would be angle-resolved photoemission on films at the optimal electron filling: if no δ pocket is seen around Γ where Tc is highest, the proposed enhancement is not what creates the dome. The companion prediction—a sharply enhanced magnetic response at q ≈ (0.65π, 0.65π) when the pocket is present—would also distinguish this mechanism from competing ones.

Watch

Extended reading notes

Core claim

At lower electron filling the Fermi surface supports several competing nesting vectors, and d-wave and s±-wave tendencies are close. At n ≈ 1.42 a δ pocket around Γ expands, and the spin susceptibility becomes dominated by a single wave vector Q1 ≈ (0.65π, 0.65π) at which the δ pocket nests with the γ pocket and the α pocket nests with the β pocket. The two nesting channels feed the same spin-fluctuation mode, and the eigenvalue λ of the linearized Eliashberg equation for s±-wave pairing rises to a maximum. Removing the δ pocket after self-consistency lowers λ at every interaction strength and removes the dome, establishing the δ pocket as the cause. The authors propose this nesting-driven e

Load-bearing premise

The load-bearing premise is that the δ pocket—the antibonding dz2 band crossing the Fermi level near Γ—actually exists, or can be made to exist, in the real film; the paper itself states that this pocket has not yet been directly observed in bulk or thin-film material.

Editorial extensions

If this is right

  • If the δ pocket can be created by expanding the c-axis lattice constant or by tensile strain, the spin-fluctuation channel feeding s±-wave pairing should strengthen together with Tc.
  • Electron doping toward n ≈ 1.42 should land the film at the predicted optimal pairing tendency; at larger hole doping the s- and d-wave instabilities compete with d slightly favored.
  • The presence of the δ pocket should shift the dominant magnetic fluctuation to Q1 ≈ (0.65π, 0.65π), a momentum-space signature that neutron scattering or related probes could test.
  • Because the effect is tied to the dz2 antibonding band crossing the Fermi level rather than to a specific compound, the mechanism suggests a search strategy for other ambient-pressure nickelate films.

Reading between the lines

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

  • Beyond the paper: the same mutual-nesting rule should transfer to any multiband metal in which two pairing channels share one nesting wave vector; the material-specific input is the band energy, not the nickel chemistry.
  • Beyond the paper: an incipient δ pocket lying just above the Fermi level could still strengthen pairing through virtual scattering, so the best films might show enhanced Tc before a resolvable pocket appears in photoemission.
  • Beyond the paper: combining c-axis expansion with electron doping is the most direct experimental realization; the paper treats them as separate levers, but their joint effect on λ follows immediately from the same model.
Share X Bluesky LinkedIn Reddit HN

Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

3 major / 5 minor

Summary. This paper studies a two-site, two-orbital Hubbard model for the half-unit-cell La3Ni2O7 thin film using the FLEX approximation. It investigates how hole doping changes the Fermi-surface topology and relates this to the superconducting instability obtained from the linearized Eliashberg equation. The central claim is that when a δ pocket derived from the dz2 antibonding band emerges near the Γ point, its nesting with the γ pocket, together with α–β nesting, mutually reinforces s±-wave pairing and produces an optimal doping dome near n≈1.42. The paper supports this by comparing n=1.3 and n=1.42, examining the spin susceptibility, and performing a post-self-consistent numerical experiment in which the δ-pocket spectral weight is artificially removed; the removal suppresses λs and eliminates the dome.

Significance. If the proposed mechanism holds, the paper offers a concrete band-engineering route—strain or substrate substitution—to enhance superconductivity in ambient-pressure nickelate films. The manuscript is careful to frame the central claim conditionally ('when a δ pocket ... emerges'), and the controlled pocket-removal test is a clean way to isolate the contribution of a single Fermi-surface feature. The work also connects to recent theoretical studies by Gao and Cao et al. that report a similar δ pocket, adding to the timeliness of the proposal. However, the practical relevance depends on the unverified existence of the δ pocket in the real material, and the numerical evidence would be much stronger with convergence checks and a sensitivity analysis of the tight-binding parameters. Within its stated scope, the paper is a useful contribution to the ongoing discussion of pairing mechanisms in bilayer nickelate films.

major comments (3)
  1. [§II, Figs. 3–4] The numerical reliability of the central quantitative claims (dome position at n≈1.42, the U-dependence of λs, and the δ-pocket removal comparison) is not established because no convergence tests are reported. The manuscript states only a 64×64 k-grid, T=0.001 eV, and does not specify the Matsubara frequency cutoff or self-consistency tolerance. Please provide, at minimum, λs as a function of k-grid size (e.g., 32×32, 48×48, 64×64, 96×96) and as a function of the number of Matsubara frequencies at n=1.42, U=1.5 eV. Without these tests, it is unclear whether the dome and the pocket-removal effect are numerical artifacts.
  2. [§IV] The δ pocket is the load-bearing element of the mechanism, yet its existence is acknowledged to be unobserved in both bulk and film La3Ni2O7. The model parameters, especially the interlayer hopping t_z^⊥, are imported from the authors' previous work [59], and no sensitivity analysis is provided. Since a modest change in t_z^⊥ (or in the crystal-field splitting) could move the dz2 antibonding band above or below EF and thereby destroy the δ pocket, the 'viable mechanism' claim needs support from a parameter sweep. Please show how the pocket's presence and the corresponding λs enhancement vary with t_z^⊥ (e.g., ±10–20% around the fitted value) and, if possible, with other relevant hoppings.
  3. [§III, Fig. 4] The δ-pocket removal experiment is performed only in the Eliashberg equation after the FLEX self-consistent calculation has converged, with the self-energy and susceptibilities kept fixed. This isolates the phase-space contribution of the pocket to the pairing kernel, but it does not test whether the pocket itself enhances the spin susceptibility at Q1. To substantiate the claimed 'nesting-driven enhancement of spin-fluctuation-induced pairing', the calculation should be repeated with a modified Hamiltonian in which the δ pocket is absent (e.g., by shifting the dz2 antibonding band below EF) and the FLEX self-consistency is redone. Such a self-consistent comparison would show whether χS(Q1) is enhanced by the pocket, not merely that a larger Fermi surface increases the available phase space for pairing.
minor comments (5)
  1. [Fig. 2 caption] The notation 'Qn=1.3max' should be typeset as Q^{n=1.3}_{\rm max}; the same typo appears twice. Please also verify the definition of the nesting vectors in the caption.
  2. [§III, paragraph after Eq. (12)] The sentence 'First, the γ pocket expands at n=1.42' contradicts the earlier statement that the γ pocket shrinks as n increases. If the γ pocket is a hole pocket, it should shrink with electron doping. Please check whether this should read 'β pocket' or whether the explanation needs revision.
  3. [§II] The manuscript does not report the actual values of λs (e.g., at the dome) or the number of Matsubara frequencies used. Please provide the numerical values and the frequency cutoff to improve reproducibility.
  4. [§III, Fig. 3(a)] The doping dependence λs(n) is shown for a limited set of n values. Adding more points around the maximum would help confirm the dome location and its width, especially since the dome is a central result.
  5. [References] Some references are formatted inconsistently (e.g., [47] and [48] use journal-specific styles, and [81] is missing full author information). Please unify the bibliography style.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the δ-pocket enhancement emerges from a self-consistent FLEX calculation and a pocket-removal control, not from fitting λ to the inputs.

full rationale

This paper's derivation chain is: import a DFT-constrained two-orbital tight-binding model and Hubbard-Kanamori interactions from Ref. [59] (self-cited), run self-consistent FLEX, compute χS and the leading Eliashberg eigenvalue λ, and isolate the δ-pocket contribution by a post-convergence removal test. None of these steps equates output to input. The δ-pocket enhancement is not fitted to λ: the tight-binding parameters come from a DFT band-structure fit (Fig. 1(b) compares TB bands to DFT bands), the interaction is fixed at U=1.5 with J=U/6, and λ(n) is a computed consequence. The controlled test is explicit: 'After artificially removing the δpocket, ... The original λs is consistently higher than that of the case where the δpocket is removed for all values of U.' That is a causal comparison, not a definitional identity. Self-citations to Ref. [59] supply the model and the earlier singlet-dominance result, but they do not by themselves enforce the sought conclusion: the prior work is a DFT-constrained study, and the present paper's central claim is explicitly conditional ('when a δ pocket ... emerges'), with the admitted limitation that 'the δpocket has not yet been directly observed in either bulk or thin-film La3Ni2O7.' That limitation is an external-validity/correctness risk, not evidence that the derivation reduces to its own inputs. No equation has an input equal to the predicted λ by construction, and no fitted parameter is renamed as a prediction.

Assumptions & free parameters 5 free parameters · 5 assumptions · 0 invented entities

Central claim depends on a DFT-derived two-orbital model fitted to the film's band structure, standard Hubbard-Kanamori interactions with hand-set U and J, the FLEX approximation, and the linearized-Eliashberg λ proxy. No new physical entities are introduced; the δ pocket is a model feature proposed to be tunable.

free parameters (5)
  • U (intra-orbital Hubbard interaction) = 1.5 eV
    Set by hand to stay in the weakly correlated regime where FLEX is trusted; not fitted to experiment.
  • J (Hund coupling) = U/6 = 0.25 eV
    Conventional ratio J=U/6 chosen throughout; not independently determined.
  • U' (inter-orbital interaction) = U-2J = 1.0 eV
    Assumed conventional relation U'=U-2J.
  • Tight-binding hopping parameters = Table 2 of Ref. [59]
    Imported from authors' previous DFT fit; these determine the Fermi-surface topology including the δ pocket.
  • Temperature T = 0.001 eV
    Fixed computation temperature; λ values are relative indicators at this T only.
assumptions (5)
  • domain assumption FLEX approximation is quantitatively reliable for this system at U=1.5 eV.
    Paper restricts to 'weakly correlated regime' to ensure validity; FLEX is perturbative and not exact.
  • domain assumption The half-UC two-site two-orbital model with hopping parameters from Ref. [59] captures the real La3Ni2O7 film's low-energy physics.
    All Fermi-surface and pairing results are computed from this model; no DFT or experimental verification is repeated here.
  • domain assumption Hubbard-Kanamori interaction with U'=U-2J and J=U/6 describes the local Coulomb physics.
    Standard material-model choice, not derived for this specific film.
  • domain assumption The largest linearized-Eliashberg eigenvalue λ at T=0.001 eV is a valid proxy for superconducting tendency.
    λ is used as a dimensionless indicator; no critical temperature is computed.
  • domain assumption The δ pocket can be brought to the Fermi level by strain/doping/substrate engineering.
    Section IV proposes band engineering; the pocket has not yet been observed.

how reviews work

0 comments
Cite this review

Pith. "Pith review of Possible Enhancement of Superconductivity in Ambient-Pressure La$_3$Ni$_2$O$_7$ Thin Film." pith.science (2026). https://pith.science/paper/OORCCVQM

@misc{pith2026260302685,
  author       = {Pith},
  title        = {Pith review of: Possible Enhancement of Superconductivity in Ambient-Pressure La$_3$Ni$_2$O$_7$ Thin Film},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/OORCCVQM}},
  note         = {Machine review of arXiv:2603.02685}
}
abstract

As an unconventional superconducting system capable of reaching 60 K under ambient pressure, the La$_3$Ni$_2$O$_7$ thin film superconductor has recently become a focal point in the field of superconductivity, calling for further theoretical exploration of its possible pairing mechanisms. In this work, we employ the fluctuation exchange (FLEX) approximation to systematically analyze the superconducting properties of a previously proposed two-site, two-orbital model for the La$_3$Ni$2$O$7$ thin film in the weakly correlated regime, with particular emphasis on its dependence on hole doping. Through a more detailed examination of the Fermi-surface topology, we find that when a $\delta$ pocket composed of the $d_{z^{2}}$ antibonding orbital emerges near the $\Gamma$ point, its nesting with the $\gamma$ pocket, together with the nesting between the $\alpha$ and $\beta$ pockets, leads to a mutual enhancement of $s{\pm}$-wave pairing at the corresponding wave vector. Furthermore, we propose that this nesting-driven enhancement of spin-fluctuation-induced pairing may provide a viable mechanism for enhancing superconductivity.

Figures

Figures reproduced from arXiv: 2603.02685 by the authors.

Figure 1
Figure 1. FIG. 1. (a), The schematic crystal structure of half [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. FIG. 3. (a) The [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
Figures from the paper (1 more)
Figure 4
Figure 4. Figure 4: FIG. 4 [PITH_FULL_IMAGE:figures/full_fig_p006_4.png]

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Orbital-Selective Diagonal-Gap Test of Pairing in La$_3$Ni$_2$O$_7$

    cond-mat.str-el 2026-06 unverdicted novelty 7.0 of 10

    Symmetry analysis shows orbital hybridization vanishes along the BZ diagonal, allowing the gap on alpha/beta pockets to test d_x2-y2 vs d_z2 dominance; experiments and RPA favor Hund's rule mechanism with full gap.

  2. Tunable Superconductivity in 1313-La$_3$Ni$_2$O$_7$: Suppressed under Compression and Possible $s^{\pm}$ Pairing under Tension

    cond-mat.supr-con 2026-06 unverdicted novelty 5.0 of 10

    RPA calculations predict strain-tunable superconductivity in 1313-La3Ni2O7 films, with s± pairing emerging under tensile strain when the γ pocket is optimally sized.

Reference graph

Works this paper leans on

82 extracted references · 9 linked inside Pith · cited by 2 Pith papers

  1. [59]

    Yue, J.-J

    C. Yue, J.-J. Miao, H. Huang, Y. Hua, P. Li, Y. Li, G. Zhou, W. Lv, Q. Yang, F. Yang,et al., Correlated electronic structures and unconventional superconductiv- ity in bilayer nickelate heterostructures,Natl. Sci. Rev., nwaf253 (2025)

  2. [1]

    D. Li, K. Lee, B.-Y. Wang, M. Osada, S. Crossley, H.-R. Lee, Y. Cui, Y. Hikita, H.-Y Hwang, Superconductivity in an infinite-layer nickelate. Nature, 572(7771): 624-627 (2019)

  3. [2]

    H. Sun, M. Huo, X. Hu, J. Li, Z. Liu, Y. Han, L. Tang, Z. Mao, P. Yang, B. Wang, J. Cheng, D.-X. Yao, G.-M. Zhang, and M. Wang, Signatures of superconductivity near 80 K in a nickelate under high pressure, Nature (London) 621, 493 (2023)

  4. [3]

    Hou, P.-T

    J. Hou, P.-T. Yang, Z.-Y. Liu, J.-Y. Li, P.-F. Shan, L. Ma, G. Wang, N.-N. Wang, H.-Z. Guo, J.-P. Sun,et al., Emergence of high-temperature superconducting phase in pressurized La 3Ni2O7 crystals, Chin. Phys. Lett.40, 117302 (2023)

  5. [4]

    Zhang, D

    Y. Zhang, D. Su, Y. Huang, Z. Shan, H. Sun, M. Huo, K. Ye, J. Zhang, Z. Yang, Y. Xu, Y. Su, R. Li, M. Smidman, M. Wang, L. Jiao, and H. Yuan,High-temperature super- conductivity with zero resistance and strange-metal be- haviour in La3Ni2O7−δ, Nat. Phys.20, 1269–1273 (2024)

  6. [5]

    T. Xie, M. Huo, X. Ni, F. Shen, X. Huang, H. Sun, H. C. Walker, D. Adroja, D. Yu, B. Shen, L. He, K. Cao, and M. Wang,Strong interlayer magnetic exchange cou- pling in La 3Ni2O7−δ revealed by inelastic neutron scat- tering,Sci. Bull.69, 3221–3227 (2024)

  7. [6]

    Y. Li, X. Du, Y. Cao, C. Pei, M. Zhang, W. Zhao, K. Zhai, R. Xu, Z. Liu, Z. Li, J. Zhao, G. Li, Y. Qi, H. Guo, Y. Chen, and L. Yang,Electronic correlation and pseudogap-like behavior of high-temperature supercon- ductor La3Ni2O7, Chin. Phys. Lett.41, 087402 (2024)

  8. [7]

    N. Wang, G. Wang,X. Shen, J. Hou,J. Luo, X. Ma, H. Yang, L. Shi, J. Dou, J. Feng, J. Yang, Y. Shi, Z. Ren, H. Ma, P. Yang, Z. Liu, Y. Liu, H. Zhang, X. Dong, Y. Wang, K. Jiang, J. Hu, S. Nagasaki, K. Kitagawa, S. Calder, J. Yan, J. Sun, B. Wang, R. Zhou, Y. Uwatoko, J. Cheng, Bulk high-temperature superconductivity in pressurized tetragonal La2PrNi2O7, Na...

Show all 82 references
  1. [8]

    D. Zhao, Y. Zhou, M. Huo, Y. Wang, L. Nie, Y. Yang, J. Ying, M. Wang, T. Wu, and X. Chen, Pressure- enhanced spin-density-wave transition in double-layer nickelate La3Ni2O7−δ,Science Bulletin(2025)

  2. [9]

    G. Wang, N. N. Wang, X. L. Shen, J. Hou, L. Ma, L. F. Shi, Z. A. Ren, Y. D. Gu, H. M. Ma, P. T. Yang, et al., Pressure-Induced Superconductivity in Polycrys- talline La3Ni2O7−δ, Phys. Rev. X14, 011040 (2024)

  3. [10]

    S. Cai, Y. Zhou, H. Sun, K. Zhang, J. Zhao, M. Huo, L. Nataf, Y. Wang, J. Li, J. Guo,et al., Low-temperature mean valence of nickel ions in pressurized La 3Ni2O7, Phys. Rev. B111, 104511 (2025)

  4. [11]

    X. Ren, R. Sutarto, X. Wu, J. Zhang, H. Huang, T. Xi- ang, J. Hu, R. Comin, X. Zhou, and Z. Zhu, Resolving the electronic ground state of La 3Ni2O7-δfilms,Com- mun. Phys.8, 52 (2025)

  5. [12]

    Z. Liu, M. Huo, J. Li, Q. Li, Y. Liu, Y. Dai, X. Zhou, J. Hao, Y. Lu, M. Wang,et al., Electronic correlations and partial gap in the bilayer nickelate La 3Ni2O7, Nat. Commun.15, 7570 (2024)

  6. [13]

    Zhihui Luo, Xunwu Hu, Meng Wang, Wei Wu, and Dao- Xin Yao, Bilayer Two-Orbital Model of La 3Ni2O7 under Pressure, Physical Review Letters131, 126001 (2023)

  7. [14]

    Q.-G. Yang, D. Wang, and Q.-H. Wang, Possibles ±- wave superconductivity in La3Ni2O7, Phys. Rev. B108, L140505 (2023)

  8. [15]

    Liu, J.-W

    Y.-B. Liu, J.-W. Mei, F. Ye, W.-Q. Chen, and F. Yang, s±-Wave Pairing and the Destructive Role of Apical- Oxygen Deficiencies in La 3Ni2O7 under Pressure, Phys. Rev. Lett.131, 236002 (2023)

  9. [16]

    Yang, G.-M

    Y.-F. Yang, G.-M. Zhang, and F.-C. Zhang, Interlayer valence bonds and two-component theory for high-Tc su- perconductivity of La 3Ni2O7 under pressure, Phys. Rev. B108, L201108 (2023)

  10. [17]

    Qin and Y.-F

    Q. Qin and Y.-F. Yang, High-T c superconductivity by mobilizing local spin singlets and possible route to higher Tc in pressurized La 3Ni2O7, Phys. Rev. B108, L140504 (2023)

  11. [18]

    Zhang, L.-F

    Y. Zhang, L.-F. Lin, A. Moreo, and E. Dagotto, Elec- tronic structure, dimer physics, orbital-selective behav- ior, and magnetic tendencies in the bilayer nickelate su- perconductor La 3Ni2O7 under pressure, Phys. Rev. B 108, L180510 (2023)

  12. [19]

    Viktor Christiansson, Francesco Petocchi, and Philipp Werner, Correlated Electronic Structure of La3Ni2O7 un- der Pressure, Phys. Rev. Lett.131, 206501 (2023)

  13. [20]

    Puphal, P

    P. Puphal, P. Reiss, N. Enderlein, Y.-M. Wu, G. Khal- iullin, V. Sundaramurthy, T. Priessnitz, M. Knauft, A. Suthar, L. Richter,et al., Unconventional crystal structure of the high-pressure superconductor La3Ni2O7, Phys. Rev. Lett.133, 146002 (2024)

  14. [21]

    Z. Liao, L. Chen, G. Duan, Y. Wang, C. Liu, R. Yu, and Q. Si, Electron correlations and superconductivity in La 3Ni2O7 under pressure tuning, Phys. Rev. B108, 214522 (2023)

  15. [22]

    Z. Liao, Y. Wang, L. Chen, G. Duan, R. Yu, and Q. Si, Orbital-selective electron correlations in high-T c bilayer nickelates: from a global phase diagram to implications for spectroscopy, arXiv:2412.21019 (2024)

  16. [23]

    Zhang, L.-F

    Y. Zhang, L.-F. Lin, A. Moreo, T. A. Maier, and E. Dagotto, Electronic structure, self-doping, and super- conducting instability in the alternating single-layer tri- layer stacking nickelates La 3Ni2O7, Phys. Rev. B110, L060510 (2024)

  17. [24]

    Zhang, L.-F

    Y. Zhang, L.-F. Lin, A. Moreo, T. A. Maier, and E. Dagotto, Trends in electronic structures ands±-wave pairing for the rare-earth series in bilayer nickelate super- conductor R3Ni2O7, Phys. Rev. B108, 165141 (2023)

  18. [25]

    Y.-H. Tian, Y. Chen, J.-M. Wang, R.-Q. He, and Z.-Y. Lu, Correlation effects and concomitant two-orbitals ±- wave superconductivity in La3Ni2O7 under high pressure, Phys. Rev. B109, 165154 (2024)

  19. [26]

    H. Yang, H. Oh, and Y.-H. Zhang, Strong pairing from a small Fermi surface beyond weak coupling: Application to La3Ni2O7, Phys. Rev. B110, 104517 (2024)

  20. [27]

    Fan, J.-F

    Z. Fan, J.-F. Zhang, B. Zhan, D. Lv, X.-Y. Jiang, B. Normand, and T. Xiang,Superconductivity in nickelate and cuprate superconductors with strong bilayer coupling, Phys. Rev. B110, 024514 (2024)

  21. [28]

    Wehling, Quenched Pair Breaking by Interlayer Correlations as a Key to Superconductivity in La 3Ni2O7, Phys

    Siheon Ryee, Niklas Witt, and Tim O. Wehling, Quenched Pair Breaking by Interlayer Correlations as a Key to Superconductivity in La 3Ni2O7, Phys. Rev. Lett. 133, 096002 (2024)

  22. [29]

    Y. Wang, K. Jiang, Z. Wang, F.-C. Zhang, and J. Hu, Electronic and magnetic structures of bilayer La 3Ni2O7 8 at ambient pressure, Phys. Rev. B110, 205122 (2024)

  23. [30]

    X. Chen, J. Choi, Z. Jiang, J. Mei, K. Jiang, J. Li, S. Agrestini, M. Garcia-Fernandez, H. Sun, X. Huang,et al., Electronic and magnetic excitations in La 3Ni2O7, Nat. Commun.15, 9597 (2024)

  24. [31]

    C. Lu, Z. Pan, F. Yang, and C. Wu, Interlayer-coupling- driven high-temperature superconductivity in La 3Ni2O7 under pressure, Phys. Rev. Lett.132, 146002 (2024)

  25. [32]

    Sakakibara, N

    H. Sakakibara, N. Kitamine, M. Ochi, and K. Kuroki, Possible highT c superconductivity in La 3Ni2O7 under high pressure through manifestation of a nearly half-filled bilayer Hubbard model, Phys. Rev. Lett.132, 106002 (2024)

  26. [33]

    Jiang, Z

    K. Jiang, Z. Wang, and F.-C. Zhang, High-temperature superconductivity in La 3Ni2O7, Chin. Phys. Lett.41, 017402 (2024)

  27. [34]

    Zhang, H.-K

    J.-X. Zhang, H.-K. Zhang, Y.-Z. You, and Z.-Y. Weng, Strong pairing originated from an emergentZ 2 Berry phase in La3Ni2O7, Phys. Rev. Lett.133, 126501 (2024)

  28. [35]

    Zheng and W

    Y.-Y. Zheng and W. Wu,s ±-wave superconductivity in the bilayer two-orbital Hubbard model, Phys. Rev. B 111, 035108 (2025)

  29. [36]

    Bejas, X

    M. Bejas, X. Wu, D. Chakraborty, A. P. Schnyder, and A. Greco, Out-of-plane bond-order phase, superconduc- tivity, and their competition in thet-J ∥-J⊥ model: Possi- ble implications for bilayer nickelates,Phys. Rev. B111, 144514 (2025)

  30. [37]

    Puphal, T

    P. Puphal, T. Sch¨ afer, B. Keimer, and M. Hepting, Su- perconductivity in infinite-layer and Ruddlesden–Popper nickelates,Nat. Rev. Phys.1–16 (2025)

  31. [38]

    Jiang, Y.-H

    K.-Y. Jiang, Y.-H. Cao, Q.-G. Yang, H.-Y. Lu, and Q.- H. Wang, Theory of pressure dependence of supercon- ductivity in bilayer nickelate La3Ni2O7, Physical Review Letters.134076001 (2025)

  32. [39]

    G. Duan, Z. Liao, L. Chen, Y. Wang, R. Yu, and Q. Si, Orbital-selective correlation effects and superconducting pairing symmetry in a multiorbitalt-Jmodel for bilayer nickelates, arXiv:2502.09195 (2025)

  33. [40]

    Jiang, J

    P. Jiang, J. Li, Y.-H. Cao, X. Cao, Z. Zhong, Y. Lu, and Q.-H. Wang, Dual instability of superconductivity from oxygen defects in La 3Ni2O7+δ, arXiv:2512.00301 (2025)

  34. [41]

    Xi, S.-L

    W. Xi, S.-L. Yu, and J.-X. Li, Transition froms±-wave tod x2−y2 -wave superconductivity driven by interlayer in- teraction in the bilayer two-orbital model of La 3Ni2O7, Phys. Rev. B111, 104505 (2025)

  35. [42]

    L. Shi, Y. Luo, W. Wu, and Y. Zhang, Theoreti- cal Investigation of High-Tc Superconductivity in Sr- Doped La 3Ni2O7 at Ambient Pressure, arXiv preprint arXiv:2503.13197 (2025)

  36. [43]

    Ouyang, R.-Q

    Z. Ouyang, R.-Q. He, and Z.-Y. Lu, Two key factors to superconductivity of Ruddlesden-Popper nickelates: en- hanced quasi-particle weight and strong local spin fluc- tuation, arXiv preprint arXiv:2503.08682 (2025)

  37. [44]

    C. Xia, H. Liu, S. Zhou, and H. Chen, Sensitive depen- dence of pairing symmetry on Ni-eg crystal field splitting in the nickelate superconductor La 3Ni2O7,Nat. Com- mun.16, 1054 (2025)

  38. [45]

    T. A. Maier, P. Doak, L.-F. Lin, Y. Zhang, A. Moreo, and E. Dagotto, Interlayer pairing in bilayer nickelates, npj Quantum Materials(2026)

  39. [46]

    Electronic structure and disorder effect of La 3Ni2O7 superconductor[J]

    Wang Y, Zhang Y, Jiang K. Electronic structure and disorder effect of La 3Ni2O7 superconductor[J]. Chinese Physics B, 2025, 34(4): 047105

  40. [47]

    S. Wu, Z. Yang, X. Ma, J. Dai, M. Shi, H.-Q. Yuan, H.- Q. Lin, and C. Cao, Ac 3Ni2O7 and La 2AeNi2O6F (Ae = Sr, Ba): Benchmark materials for bilayer nickelate su- perconductivity, arXiv:2403.11713 (2024)

  41. [48]

    Modulation of the octahedral structure and potential superconductivity of La3Ni2O7 through strain engineering[J]

    Huo Z, Luo Z, Zhang P, Yang A, Liu Z, Tao X, Zhang Z, Guo S, Jiang Q, Chen W, et al. Modulation of the octahedral structure and potential superconductivity of La3Ni2O7 through strain engineering[J]. Science China Physics, Mechanics Astronomy, 2025, 68(3): 237411 (2025)

  42. [49]

    Observation of high-temperature superconductivity in the high-pressure tetragonal phase of La 2PrNi2O7-δ[J]

    Wang G, Wang N, Wang Y, Shi L, Shen X, Hou J, Ma H, Yang P, Liu Z, Zhang H, et al. Observation of high-temperature superconductivity in the high-pressure tetragonal phase of La 2PrNi2O7-δ[J]. arXiv preprint arXiv:2311.08212, 2023

  43. [50]

    Structural routes to stabilize su- perconducting La3Ni2O7 at ambient pressure[J]

    Rhodes L C, Wahl P. Structural routes to stabilize su- perconducting La3Ni2O7 at ambient pressure[J]. Physical Review Materials, 2024, 8(4): 044801

  44. [51]

    Structural transitions, octahedral rota- tions, and electronic properties of A 3Ni2O7 rare-earth nickelates under high pressure[J]

    Geisler B, Hamlin J J, Stewart G R, Hennig R G, Hirschfeld P J. Structural transitions, octahedral rota- tions, and electronic properties of A 3Ni2O7 rare-earth nickelates under high pressure[J]. npj Quantum Materi- als, 2024, 9(1): 38

  45. [52]

    Charge and spin in- stabilities in superconducting La 3Ni2O7[J]

    Chen X, Jiang P, Li J, Zhong Z, Lu Y. Charge and spin in- stabilities in superconducting La 3Ni2O7[J]. Physical Re- view B, 2025, 111(1): 014515 (2025)

  46. [53]

    E. Ko, Y. Yu, Y. Liu, L. Bhatt, J. Li, V. Thampy, C. Kuo, B. Wang, Y. Lee, K. Lee, J. Lee, B. H. Goodge, D. A. Muller, H. Y. Hwang, Signatures of ambient pressure superconductivity in thin film La 3Ni2O7, Nature (2024)

  47. [54]

    G. Zhou, W. Lv, H. Wang, Z. Nie, Y. Chen, Y. Li, H. Huang, W.-Q. Chen, Y.-J. Sun, Q.-K. Xue,et al., Ambient-pressure superconductivity onset above 40 K in (La, Pr)3Ni2O7 films,Nature640, 641–646 (2025)

  48. [55]

    G. Zhou, H. Wang, H. Huang, Y. Chen, F. Peng, W. Lv, Z. Nie, W. Wang, Q.-K. Xue, and Z. Chen, Supercon- ductivity onset above 60 K in ambient-pressure nickelate films, arXiv:2512.04708 (2025)

  49. [56]

    M. Wang, B. Hao, W. Sun, S. Yan, S. Sun, H. Zhang, Z. Gu, and Y. Nie, Superconducting dome in La3−xSrxNi2O7−δ thin films, Phys. Rev. Lett.136, 066002 (2026)

  50. [57]

    S. Ryee, N. Witt, G. Sangiovanni, and T. O. Wehling, Superconductivity governed by Janus-faced Fermiology in strained bilayer nickelates, arXiv:2506.21480 (2025)

  51. [58]

    Ushio, S

    K. Ushio, S. Kamiyama, Y. Hoshi, R. Mizuno, M. Ochi, K. Kuroki, and H. Sakakibara, Theoretical study on am- bient pressure superconductivity in La 3Ni2O7 thin films: structural analysis, model construction, and robustness ofs±-wave pairing, arXiv:2506.20497 (2025)

  52. [60]

    Gao, Theoretical study of the electronic correlation and superconducting pairing in La 2.85Pr0.15Ni2O7 film grown on SrLaAlO 4), arXiv:2507.19784 (2025)

    Y. Gao, Theoretical study of the electronic correlation and superconducting pairing in La 2.85Pr0.15Ni2O7 film grown on SrLaAlO 4), arXiv:2507.19784 (2025)

  53. [61]

    H. Shi, Z. Huo, G. Li, H. Ma, T. Cui, D. Yao, and D. Duan, The effect of carrier doping and thickness on the electronic structures of La 3Ni2O7 thin films, Chin. Phys. Lett.42, 080708 (2025)

  54. [62]

    C. Le, J. Zhan, X. Wu, and J. Hu, Opposite-mirror-parity scattering as the origin of superconductivity in strained bilayer nickelates, arXiv:2501.14665 (2025). 9

  55. [63]

    Y. Liu, E. K. Ko, Y. Tarn, L. Bhatt, J. Li, V. Thampy, B. H. Goodge, D. A. Muller, S. Raghu, Y. Yu,et al., Su- perconductivity and normal-state transport in compres- sively strained La2PrNi2O7 thin films,Nature Materials, 1–7 (2025)

  56. [64]

    J. Yang, H. Sun, X. Hu, Y. Xie, T. Miao, H. Luo, H. Chen, B. Liang, W. Zhu, G. Qu, C.-Q. Chen, M. Huo, Y. Huang, S. Zhang, F. Zhang, F. Yang, Z. Wang, Q. Peng, H. Mao, G. Liu, Z. Xu, T. Qian, D.-X. Yao, M. Wang, L. Zhao, X. J. Zhou, Orbital-dependent electron correlation in do...

  57. [65]

    P. Li, G. Zhou, W. Lv, Y. Li, C. Yue, H. Huang, L. Xu, J. Shen, Y. Miao, W. Song,et al., Angle- resolved photoemission spectroscopy of superconducting (La, Pr) 3Ni2O7/SrLaAlO4 heterostructures,Natl. Sci. Rev., nwaf205 (2025)

  58. [66]

    Osada, C

    M. Osada, C. Terakura, A. Kikkawa, M. Nakajima, H.- Y. Chen, Y. Nomura, Y. Tokura, and A. Tsukazaki, Strain-tuning for superconductivity in La 3Ni2O7 thin films,Commun. Phys.8, 251 (2025)

  59. [67]

    B. Hao, M. Wang, W. Sun, Y. Yang, Z. Mao, S. Yan, H. Sun, H. Zhang, L. Han, Z. Gu,et al., Superconductivity in Sr-doped La 3Ni2O7 thin films,Nature Materials24, 1756–1762 (2025)

  60. [68]

    Y. Wang, K. Jiang, J. Ying, T. Wu, J. Cheng, J. Hu, and X. Chen, Recent progress in nickelate superconductors, Natl. Sci. Rev.12, nwaf373 (2025)

  61. [69]

    J. Zhan, Y. Gu, X. Wu, and J. Hu, Cooperation between electron-phonon coupling and electronic interaction in bi- layer nickelates La3Ni2O7,Phys. Rev. Lett.134, 136002 (2025)

  62. [70]

    Y. Gu, C. Le, Z. Yang, X. Wu, and J. Hu, Effective model and pairing tendency in the bilayer Ni-based supercon- ductor La3Ni2O7,Phys. Rev. B111, 174506 (2025)

  63. [71]

    Zhang, J

    Z. Zhang, J. Zhan, C. Le, H. C. Po, J. Hu, and X. Wu, Mirror-selective quasiparticle interference in bilayer nick- elate superconductor, arXiv:2512.14544 (2025)

  64. [72]

    N. E. Bickers and D. J. Scalapino, Conserving approxi- mations for strongly fluctuating electron systems. I. For- malism and calculational approach, Ann. Phys.193, 206–251 (1989)

  65. [73]

    N. E. Bickers and S. R. White, Conserving approxima- tions for strongly fluctuating electron systems. II. Nu- merical results and parquet extension, Phys. Rev. B43, 8044 (1991)

  66. [74]

    Yanase, T

    Y. Yanase, T. Jujo, T. Nomura, H. Ikeda, T. Hotta, and K. Yamada, Theory of superconductivity in strongly cor- related electron systems, Phys. Rep.387, 1–149 (2003)

  67. [75]

    Kuroki, S

    K. Kuroki, S. Onari, R. Arita, H. Usui, Y. Tanaka, H. Kontani, and H. Aoki, Unconventional Pairing Originat- ing from the Disconnected Fermi Surfaces of Supercon- ducting LaFeAsO 1−xFx, Phys. Rev. Lett.101, 087004 (2008)

  68. [76]

    Kang, S.-L

    J. Kang, S.-L. Yu, Z.-J. Yao, and J.-X. Li, Spin- fluctuation-mediated pairing symmetry on the metallic kagome lattice,J. Phys.: Condens. Matter23, 175702 (2011)

  69. [77]

    N. Witt, E. G. C. P. Van Loon, T. Nomoto, R. Arita, and T. O. Wehling, Efficient fluctuation-exchange approach to low-temperature spin fluctuations and superconduc- tivity: From the Hubbard model to Na xCoO2·yH2O, Phys. Rev. B103, 205148 (2021)

  70. [78]

    Bj¨ ornson, A

    K. Bj¨ ornson, A. Kreisel, A. T. Rømer, and B. M. An- dersen, Orbital-dependent self-energy effects and conse- quences for the superconducting gap structure in multi- orbital correlated electron systems, Phys. Rev. B103, 024508 (2021)

  71. [79]

    Shinaoka, J

    H. Shinaoka, J. Otsuki, M. Ohzeki, and K. Yoshimi, Compressing Green’s function using intermediate repre- sentation between imaginary-time and real-frequency do- mains,Phys. Rev. B96, 035147 (2017)

  72. [80]

    Wallerberger, S

    M. Wallerberger, S. Badr, S. Hoshino, S. Huber, F. Kak- izawa, T. Koretsune, Y. Nagai, K. Nogaki, T. Nomoto, H. Mori,et al., sparse-ir: Optimal compression and sparse sampling of many-body propagators,SoftwareX 21, 101266 (2023)

  73. [81]

    Cao ,K.-Y

    Y.-H. Cao ,K.-Y. Jiang ,H.-Y. Lu, D. Wang, Q.-H. Wang, arXiv:2507.13694 (2025)

  74. [82]

    Cao, K.-Y

    Y.-H. Cao, K.-Y. Jiang, H.-Y. Lu, D. Wang, Q.-H. Wang arXiv:2604.05590 (2026)

Pith tools

Reviewed August 2, 2026 · model on record in the stance chip above.