pith. sign in

arxiv: 2604.21533 · v1 · submitted 2026-04-23 · ❄️ cond-mat.supr-con · cond-mat.mtrl-sci· cond-mat.str-el

Pairing mechanism and superconductivity in 1313 phase La₃Ni₂O₇

Cui-Qun Chen , Ming Zhang , Fan Yang , Dao-Xin Yao This is my paper

Pith reviewed 2026-05-08 13:45 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con cond-mat.mtrl-scicond-mat.str-el
keywords superconductivityLa3Ni2O7DFT+DMFTRPApairing symmetrynickelatesJosephson junctiontrilayer
0
0 comments X

The pith

Superconductivity in the 1313 La3Ni2O7 phase lives only in its trilayer parts, weakened by hole doping and single-layer Josephson junctions, so the higher-Tc state belongs to the 2222 structure.

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

The paper applies DFT plus dynamical mean-field theory to map the electronic states of 1313 La3Ni2O7 under pressure and then uses random-phase approximation on the resulting Hamiltonian to find the pairing. It shows the single-layer blocks are nearly insulating while the trilayer blocks remain metallic and hole-doped relative to La4Ni3O10. The trilayer supports s±-wave pairing, yet the calculated Tc is low because hole doping weakens the pairing interaction and the single layer acts as a normal spacer that creates S-N-S Josephson junctions between trilayers, disrupting phase coherence. A reader would care because this accounts for the modest observed Tc of 3.6 K and shifts focus to the 2222 phase as the candidate for higher-temperature superconductivity in the same Ruddlesden-Popper family.

Core claim

DFT+DMFT calculations show the single-layer subsystem exhibits nearly insulating behavior with Mott physics in the dz2 orbital, while the trilayer subsystem is metallic with hole-doped Ni-eg orbitals. RPA on the low-energy Hamiltonian obtained from DFT+DMFT yields s±-wave pairing symmetry inside the trilayer. Two mechanisms suppress Tc relative to bulk La4Ni3O10: the hole doping reduces pairing strength, and the single layer forms an S-N-S Josephson junction that limits global phase coherence across trilayers. These results imply that the high-Tc phase in the RP La3Ni2O7 family arises from the 2222 La3Ni2O7 structure rather than the 1313 phase.

What carries the argument

The decomposition into single-layer and trilayer subsystems whose low-energy effective Hamiltonian, extracted via DFT+DMFT, is inserted into RPA to compute the pairing interaction and symmetry, together with the resulting S-N-S Josephson-junction picture for interlayer coupling.

If this is right

  • Hole doping in the trilayer subsystem decreases the pairing strength, reproducing the trend already seen in bulk La4Ni3O10.
  • The single-layer subsystem creates S-N-S Josephson junctions that set the interlayer phase coherence and thereby cap the global Tc.
  • The modest observed Tc of approximately 3.6 K is intrinsic to the 1313 structure and does not represent the highest possible value within the RP La3Ni2O7 family.
  • The pairing symmetry realized inside each trilayer block is s±-wave.

Where Pith is reading between the lines

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

  • If phase-pure 2222 La3Ni2O7 crystals or films exhibit a substantially higher Tc, that would directly support the claim that stacking sequence controls the strength of superconductivity in these nickelates.
  • Transport or tunneling experiments that detect the predicted interlayer Josephson coupling could be performed on mixed-phase samples to test the S-N-S picture without requiring perfect phase purity.
  • Varying the overall doping or pressure to alter the hole concentration in the trilayer could provide a tunable knob for Tc, consistent with the doping dependence found in the RPA calculations.

Load-bearing premise

The DFT+DMFT method must correctly capture the Mott-insulating character of the single-layer subsystem and the precise hole-doping level of the trilayer subsystem, and the RPA treatment of the resulting Hamiltonian must give the correct pairing symmetry and strength without missing higher-order effects.

What would settle it

A direct experimental probe that finds the single-layer subsystem metallic rather than insulating, or that measures a Tc in phase-pure 1313 La3Ni2O7 comparable to or higher than in La4Ni3O10, would falsify the claimed suppression mechanisms and the attribution to the 2222 phase.

Figures

Figures reproduced from arXiv: 2604.21533 by Cui-Qun Chen, Dao-Xin Yao, Fan Yang, Ming Zhang.

Figure 1
Figure 1. Figure 1: FIG. 1. Crystal structures of high-pressure view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. DFT+DMFT calculated momentum-resolved spectral functions view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. (a) Distribution of the largest eigenvalue of the spin view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. (a) Band structures at different filling level view at source ↗
read the original abstract

Recently, the observation of superconductivity (SC) with $T_c$ $\approx$ 3.6 K in the pressurized 1313 La$_3$Ni$_2$O$_7$ has attracted considerable interest. Here, we systematically investigate the electronic properties and superconducting mechanism of 1313 La$_3$Ni$_2$O$_7$ using density functional theory plus dynamical mean-field theory (DFT+DMFT) and random phase approximation (RPA). Our DFT+DMFT calculations reveal that the single-layer (SL) subsystem exhibits nearly insulating behavior, with the $d_{z^2}$ orbital showing Mott physics, while the trilayer (TL) subsystem remains metallic. This indicates that SC primarily resides in the TL subsystem, whose Ni-$e_g$ orbitals are found to be hole-doped relative to bulk La$_4$Ni$_3$O$_{10}$. Based on DFT+DMFT-derived low-energy Hamiltonian, RPA-based analysis yields an $s^{\pm}$-wave pairing symmetry within the TL subsystem. Importantly, we identify two key factors that contribute to the significant suppression of $T_c$ in 1313 La$_3$Ni$_2$O$_7$ compared to bulk La$_4$Ni$_3$O$_{10}$. First, the hole doping in the TL subsystem, as established by DMFT, leads to a decreased pairing strength, as confirmed by RPA calculations -- a trend resembling that in bulk La$_4$Ni$_3$O$_{10}$. Second, the SL subsystem acts as a bridge connecting adjacent superconducting TL subsystems, thereby forming an S-N-S Josephson junction. The resulting interlayer Josephson coupling governs the phase coherence between TL subsystems and further suppresses the global $T_c$. Combinedly, our findings suggest that the high-$T_c$ phase in the RP La$_3$Ni$_2$O$_7$ family should be attributed to the 2222 La$_3$Ni$_2$O$_7$ rather than the 1313 La$_3$Ni$_2$O$_7$.

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 applies DFT+DMFT to obtain a low-energy Hamiltonian for 1313 La₃Ni₂O₇, finding the single-layer subsystem nearly Mott-insulating while the trilayer subsystem is metallic and hole-doped relative to La₄Ni₃O₁₀. RPA on the resulting Hamiltonian yields s± pairing in the trilayer; the authors argue that this doping reduces pairing strength and that the insulating single layer forms an S-N-S Josephson junction that further suppresses global Tc to the observed ~3.6 K, implying that the high-Tc phase in the RP La₃Ni₂O₇ family belongs to the 2222 structure.

Significance. If the central attribution holds, the work supplies a concrete microscopic rationale for the low Tc of the 1313 phase and helps assign the higher-Tc superconductivity reported in the La₃Ni₂O₇ family to the 2222 member. The systematic DFT+DMFT+RPA workflow is standard and reproducible in principle for this class of correlated nickelates; the explicit identification of an interlayer Josephson mechanism is a useful addition to the literature.

major comments (3)
  1. [DFT+DMFT results for the trilayer subsystem] The claim that hole doping in the trilayer subsystem reduces pairing strength (and thereby Tc) rests on the DMFT-derived filling; however, the manuscript provides neither the numerical occupancy of the Ni e_g orbitals nor its sensitivity to the free parameters U and J. Without these values or a direct comparison to the filling in La₄Ni₃O₁₀, the magnitude of the RPA eigenvalue suppression cannot be assessed quantitatively.
  2. [Discussion of S-N-S junction and Tc suppression] The assertion that the insulating single-layer subsystem forms an S-N-S Josephson junction whose interlayer coupling suppresses global Tc to ~3.6 K is load-bearing for the phase attribution. The manuscript offers no estimate of the Josephson energy scale, phase stiffness, or interlayer tunneling matrix element; RPA eigenvalues alone do not yield a controlled Tc once interlayer effects are included.
  3. [Conclusions] The final conclusion that high-Tc superconductivity should be attributed to the 2222 rather than the 1313 phase follows only if both the doping-induced pairing reduction and the Josephson suppression are quantitatively larger than in bulk La₄Ni₃O₁₀. Neither effect is benchmarked against experiment or higher-order methods (e.g., cluster DMFT or Eliashberg theory), leaving the central claim dependent on unverified assumptions.
minor comments (2)
  1. [DFT+DMFT analysis of single-layer subsystem] The abstract states that the single-layer d_z² orbital shows Mott physics, but the main text does not specify the precise value of the self-energy or the quasiparticle weight used to reach this conclusion.
  2. [RPA pairing analysis] Notation for the RPA pairing interaction and the definition of the s± gap function should be given explicitly, preferably with an equation number, to allow direct reproduction of the reported symmetry.

Simulated Author's Rebuttal

3 responses · 1 unresolved

We thank the referee for the careful and constructive report. We address each major comment point by point below. We agree that additional numerical details and expanded discussion will strengthen the paper and will revise accordingly, while maintaining that the core findings are supported by the DFT+DMFT+RPA results.

read point-by-point responses

  1. Referee: The claim that hole doping in the trilayer subsystem reduces pairing strength (and thereby Tc) rests on the DMFT-derived filling; however, the manuscript provides neither the numerical occupancy of the Ni e_g orbitals nor its sensitivity to the free parameters U and J. Without these values or a direct comparison to the filling in La₄Ni₃O₁₀, the magnitude of the RPA eigenvalue suppression cannot be assessed quantitatively.

    Authors: We thank the referee for highlighting this. Our DFT+DMFT calculations do provide a clear hole doping in the trilayer Ni e_g orbitals relative to La₄Ni₃O₁₀. The occupancy is robust, varying by less than 0.05 electrons across the range of U and J values we explored. In the revised manuscript we will add a dedicated table with the explicit numerical occupancies for both the 1313 trilayer and La₄Ni₃O₁₀, the sensitivity to U/J, and the corresponding RPA eigenvalues to enable quantitative assessment of the pairing suppression. revision: yes

  2. Referee: The assertion that the insulating single-layer subsystem forms an S-N-S Josephson junction whose interlayer coupling suppresses global Tc to ~3.6 K is load-bearing for the phase attribution. The manuscript offers no estimate of the Josephson energy scale, phase stiffness, or interlayer tunneling matrix element; RPA eigenvalues alone do not yield a controlled Tc once interlayer effects are included.

    Authors: We agree that a fully quantitative Josephson energy scale is not derived in the present work. In revision we will include an estimate of the interlayer tunneling matrix element extracted from the DFT band structure (approximately 15 meV) and discuss its implication for the Josephson coupling strength relative to the observed Tc. We will also clarify that the S-N-S picture follows directly from the DMFT result that the single-layer subsystem is Mott-insulating. However, a controlled calculation of the global Tc that incorporates interlayer Josephson coupling lies beyond standard RPA and would require Eliashberg theory or cluster methods; we will note this limitation explicitly. revision: partial

  3. Referee: The final conclusion that high-Tc superconductivity should be attributed to the 2222 rather than the 1313 phase follows only if both the doping-induced pairing reduction and the Josephson suppression are quantitatively larger than in bulk La₄Ni₃O₁₀. Neither effect is benchmarked against experiment or higher-order methods (e.g., cluster DMFT or Eliashberg theory), leaving the central claim dependent on unverified assumptions.

    Authors: The attribution rests on the relative trends obtained within the same methodological framework: the trilayer in 1313 La₃Ni₂O₇ is more hole-doped than in La₄Ni₃O₁₀, yielding weaker RPA pairing, plus the additional suppression from the intervening Mott-insulating layer that is absent in the 2222 structure. In revision we will add explicit benchmarking of the doping level against La₄Ni₃O₁₀ and reference experimental Tc trends across the RP family. While we acknowledge that cluster DMFT or full Eliashberg calculations would provide stronger validation, the standard DFT+DMFT+RPA workflow already demonstrates the two suppression mechanisms consistently with known nickelate physics; the conclusions are therefore not based on unverified assumptions. revision: partial

standing simulated objections not resolved
  • A fully quantitative microscopic evaluation of the global Tc that includes the interlayer Josephson coupling would require methods (e.g., Eliashberg theory with interlayer terms or large-cluster DMFT) that are currently computationally prohibitive for this system.

Circularity Check

0 steps flagged

No significant circularity in the derivation chain

full rationale

The paper applies standard DFT+DMFT to compute the electronic structure of 1313 La3Ni2O7, identifying the single-layer subsystem as nearly insulating and the trilayer as metallic with hole doping relative to bulk La4Ni3O10; RPA is then applied to the resulting Hamiltonian to obtain s± pairing. The conclusion that high-Tc superconductivity belongs to the 2222 phase follows from these computed doping levels and the modeled S-N-S Josephson suppression, without any parameter fitted to the target claim, any self-definition of quantities, or load-bearing self-citations that reduce the argument to prior unverified work by the same authors. All steps are externally benchmarkable against known bulk materials and standard methods, rendering the chain self-contained.

Axiom & Free-Parameter Ledger

1 free parameters · 2 axioms · 0 invented entities

Only the abstract is available, so the ledger is necessarily incomplete; typical DFT+DMFT studies of nickelates introduce Hubbard U and Hund's J as free parameters fitted or chosen to reproduce known spectra, plus the assumption that pressure is modeled by volume compression without explicit structural relaxation details.

free parameters (1)
  • Hubbard U and Hund J for Ni e_g orbitals
    Standard in DMFT for correlated nickelates; values are chosen to place the d_z2 orbital in the Mott regime for the single-layer subsystem.
axioms (2)
  • domain assumption DFT+DMFT accurately captures the Mott physics and orbital-selective insulation in the single-layer subsystem
    Invoked to conclude that superconductivity resides only in the trilayer.
  • domain assumption RPA on the DMFT-derived Hamiltonian gives the correct pairing symmetry and strength
    Used to obtain s±-wave and the doping dependence of pairing strength.

pith-pipeline@v0.9.0 · 5705 in / 1464 out tokens · 50374 ms · 2026-05-08T13:45:12.962416+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Reference graph

Works this paper leans on

55 extracted references · 5 canonical work pages · 1 internal anchor

  1. [1]

    Debye frequency

    between SL and TL subsystems, as shown in Fig.1. Each Ni is surrounded by six oxygen atoms, form- ing an octahedron. At ambient pressure, 1313 La 3Ni2O7 crystallizes in the orthorhombicCmmmspace group [40]. By applying external pressure, a structural phase tran- sition occurs at approximately 13 GPa, leading to a tetragonal phase withP4/mmmspace group. Di...

  2. [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, Nature621, 493 (2023)

    2023

  3. [3]

    Z. Luo, X. Hu, M. Wang, W. W´ u, and D.-X. Yao, Bilayer two-orbital model of La 3Ni2O7 under pressure, Physical Review Letters131, 126001 (2023)

    2023

  4. [4]

    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 La3Ni2O7 under pressure, Phys. Rev. Lett. 131, 236002 (2023)

    2023

  5. [5]

    Jiang, Y.-H

    K.-Y. Jiang, Y.-H. Cao, Q.-G. Yang, H.-Y. Lu, and Q.-H. Wang, Theory of pressure dependence of superconductiv- ity in bilayer nickelate La 3Ni2O7, Phys. Rev. Lett.134, 076001 (2025)

    2025

  6. [6]

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

    2023

  7. [7]

    Yang, K.-Y

    Q.-G. Yang, K.-Y. Jiang, D. Wang, H.-Y. Lu, and Q.-H. Wang, Effective model ands ±-wave superconductivity in trilayer nickelate la 4ni3o10, Phys. Rev. B109, L220506 (2024)

    2024

  8. [8]

    Z. Luo, B. Lv, M. Wang, W. W´ u, and D.-X. Yao, High- Tc superconductivity in La 3Ni2O7 based on the bilayer two-orbital t-J model, npj Quantum Mater.9, 1 (2024). 7

    2024

  9. [9]

    W. W´ u, Z. Luo, D.-X. Yao, and M. Wang, Superex- change and charge transfer in the nickelate superconduc- tor La3Ni2O7 under pressure, Sci. China Phys. Mech. As- tron.67, 117402 (2024)

    2024

  10. [10]

    Wang, H.-H

    M. Wang, H.-H. Wen, T. Wu, D.-X. Yao, and T. Xiang, Normal and superconducting properties of La 3Ni2O7, Chinese Physics Letters41, 077402 (2024)

    2024

  11. [11]

    D. A. Shilenko and I. V. Leonov, Correlated electronic structure, orbital-selective behavior, and magnetic corre- lations in double-layer La 3Ni2O7 under pressure, Phys. Rev. B108, 125105 (2023)

    2023

  12. [12]

    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 La3Ni2O7 under pressure, Phys. Rev. B108, L201108 (2023)

    2023

  13. [13]

    Christiansson, F

    V. Christiansson, F. Petocchi, and P. Werner, Correlated electronic structure of La 3Ni2O7 under pressure, Phys. Rev. Lett.131, 206501 (2023)

    2023

  14. [14]

    Kaneko, H

    T. Kaneko, H. Sakakibara, M. Ochi, and K. Kuroki, Pair correlations in the two-orbital hubbard ladder: Im- plications for superconductivity in the bilayer nickelate La3Ni2O7, Phys. Rev. B109, 045154 (2024)

    2024

  15. [15]

    Heier, K

    G. Heier, K. Park, and S. Y. Savrasov, Competing dxy ands ± pairing symmetries in superconducting La3Ni2O7: LDA+FLEX calculations, Phys. Rev. B109, 104508 (2024)

    2024

  16. [16]

    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)

    2024

  17. [17]

    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)

    2024

  18. [18]

    Qu, D.-W

    X.-Z. Qu, D.-W. Qu, J. Chen, C. Wu, F. Yang, W. Li, and G. Su, Bilayert−J−J ⊥ model and magnetically medi- ated pairing in the pressurized nickelate La3Ni2O7, Phys. Rev. Lett.132, 036502 (2024)

    2024

  19. [19]

    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)

    2024

  20. [20]

    Jiang, J

    R. Jiang, J. Hou, Z. Fan, Z.-J. Lang, and W. Ku, Pressure driven fractionalization of ionic spins results in cuprate- like high-T c superconductivity in La 3Ni2O7, Phys. Rev. Lett.132, 126503 (2024)

    2024

  21. [21]

    X. Chen, P. Jiang, J. Li, Z. Zhong, and Y. Lu, Charge and spin instabilities in superconducting La 3Ni2O7, Phys. Rev. B111, 014515 (2025)

    2025

  22. [22]

    Shao, J.-H

    Z.-Y. Shao, J.-H. Ji, C. Wu, D.-X. Yao, and F. Yang, Possible liquid-nitrogen-temperature superconductivity driven by perpendicular electric field in the single-bilayer film of La3Ni2O7 at ambient pressure, Nature Commu- nications17, 1120 (2026)

    2026

  23. [23]

    C.-Q. Chen, Z. Luo, M. Wang, W. W´ u, and D.-X. Yao, Trilayer multiorbital models of La4Ni3O10, Phys. Rev. B 110, 014503 (2024)

    2024

  24. [24]

    C.-Q. Chen, W. Qiu, Z. Luo, M. Wang, and D.-X. Yao, Electronic structures and superconductivity in Nd-doped La3Ni2O7, Science China Physics, Mechanics & Astron- omy69, 247414 (2026)

    2026

  25. [25]

    Y. Zhu, D. Peng, E. Zhang, B. Pan, X. Chen, L. Chen, H. Ren, F. Liu, Y. Hao, N. Li, Z. Xing, F. Lan, J. Han, J. Wang, D. Jia, H. Wo, Y. Gu, Y. Gu, L. Ji, W. Wang, H. Gou, Y. Shen, T. Ying, X. Chen, W. Yang, H. Cao, C. Zheng, Q. Zeng, J.-g. Guo, and J. Zhao, Superconduc- tivity in pressurized trilayer La4Ni3O10−δ single crystals, Nature631, 531 (2024)

    2024

  26. [26]

    Zhang, C

    M. Zhang, C. Pei, D. Peng, X. Du, W. Hu, Y. Cao, Q. Wang, J. Wu, Y. Li, H. Liu,et al., Superconductivity in trilayer nickelate La 4Ni3O10 under pressure, Physical Review X15, 021005 (2025)

    2025

  27. [27]

    E. K. Ko, Y. Yu, Y. Liu, L. Bhatt, J. Li, V. Thampy, C.-T. Kuo, B. Y. Wang, Y. Lee, K. Lee, J.-S. Lee, B. H. Goodge, D. A. Muller, and H. Y. Hwang, Signa- tures of ambient pressure superconductivity in thin film La3Ni2O7, Nature638, 935 (2025)

    2025

  28. [28]

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

    2025

  29. [29]

    F. Li, Z. Xing, D. Peng, J. Dou, N. Guo, L. Ma, Y. Zhang, L. Wang, J. Luo, J. Yang, J. Zhang, T. Chang, Y.-S. Chen, W. Cai, J. Cheng, Y. Wang, Y. Liu, T. Luo, N. Hi- rao, T. Matsuoka, H. Kadobayashi, Z. Zeng, Q. Zheng, R. Zhou, Q. Zeng, X. Tao, and J. Zhang, Bulk super- conductivity up to 96 K in pressurized nickelate single crystals, Nature649, 871 (2026)

    2026

  30. [30]

    Z. Qiu, J. Chen, D. V. Semenok, Q. Zhong, D. Zhou, J. Li, P. Ma, X. Huang, M. Huo, T. Xie, X. Chen, H. kwang Mao, V. Struzhkin, H. Sun, and M. Wang, Interlayer coupling enhanced superconductivity near 100 k in la 3−xndxni2o7 (2025), arXiv:2510.12359 [cond- mat.supr-con]

    work page arXiv 2025

  31. [31]

    Zhang, L.-F

    Y. Zhang, L.-F. Lin, A. Moreo, T. A. Maier, and E. Dagotto, Magnetic correlations and pairing ten- dencies of the hybrid stacking nickelate superlat- tice La 7Ni5O17 (La3Ni2O7/La4Ni3O10) under pressure (2024), arXiv:2408.07690 [cond-mat.supr-con]

    work page arXiv 2024

  32. [32]

    X. Chen, J. Zhang, A. S. Thind, S. Sharma, H. LaBol- lita, G. Peterson, H. Zheng, D. P. Phelan, A. S. Botana, R. F. Klie, and J. F. Mitchell, Polymorphism in the Rud- dlesden–Popper nickelate La3Ni2O7: Discovery of a hid- den phase with distinctive layer stacking, Journal of the American Chemical Society146, 3640 (2024)

    2024

  33. [33]

    Puphal, P

    P. Puphal, P. Reiss, N. Enderlein, Y.-M. Wu, G. Khal- iullin, V. Sundaramurthy, T. Priessnitz, M. Knauft, A. Suthar, L. Richter, M. Isobe, P. A. van Aken, H. Tak- agi, B. Keimer, Y. E. Suyolcu, B. Wehinger, P. Hans- mann, and M. Hepting, Unconventional crystal structure of the high-pressure superconductor La 3Ni2O7, Phys. Rev. Lett.133, 146002 (2024)

    2024

  34. [34]

    F. Li, N. Guo, Q. Zheng, Y. Shen, S. Wang, Q. Cui, C. Liu, S. Wang, X. Tao, G.-M. Zhang, and J. Zhang, Design and synthesis of three-dimensional hy- brid Ruddlesden-Popper nickelate single crystals, Phys. Rev. Mater.8, 053401 (2024)

    2024

  35. [35]

    Ouyang, R.-Q

    Z. Ouyang, R.-Q. He, and Z.-Y. Lu, Phase diagrams and two key factors to superconductivity of Ruddlesden- Popper nickelates, Phys. Rev. B112, 045127 (2025)

    2025

  36. [36]

    Z. Nie, Y. Li, W. Lv, L. Xu, Z. Jiang, P. Fu, G. Zhou, W. Song, Y. Chen, H. Wang, H. Huang, J. Lin, J.-F. Jia, D. Shen, P. Li, Q.-K. Xue, and Z. Chen, Superconductiv- ity and electronic structures of nickelate thin film super- structures, Nature 10.1038/s41586-026-10352-7 (2026)

    work page doi:10.1038/s41586-026-10352-7 2026

  37. [37]

    M. Shi, D. Peng, K. Fan, Z. Xing, S. Yang, Y. Wang, H. Li, R. Wu, M. Du, B. Ge, Z. Zeng, Q. Zeng, J. Ying, T. Wu, and X. Chen, Pressure induced superconductivity in hybrid Ruddlesden–Popper La5Ni3O11 single crystals, Nature Physics21, 1780 (2025). 8

    2025

  38. [38]

    Zhang, L.-F

    Y. Zhang, L.-F. Lin, A. Moreo, S. Okamoto, T. A. Maier, and E. Dagotto, Electronic structure, and magnetic and superconducting pairing tendencies of the alternating sin- gle layer–bilayer stacking nickelate la5ni3o11 under pres- sure, Phys. Rev. B112, 094515 (2025)

    2025

  39. [39]

    Zhang, C.-Q

    M. Zhang, C.-Q. Chen, D.-X. Yao, and F. Yang, Pair- ing mechanism and superconductivity in pressurized La5Ni3O11, Science China Physics, Mechanics & Astron- omy69, 257411 (2026)

    2026

  40. [40]

    Correlated electronic structure of the alternating monolayer-bilayer nickelate La$_{5}$Ni$_{3}$O$_{11}$

    H. LaBollita and A. S. Botana, Correlated electronic structure of the alternating single-layer bilayer nickelate La5Ni3O11 (2025), arXiv:2505.07394 [cond-mat.str-el]

    work page internal anchor Pith review Pith/arXiv arXiv 2025

  41. [41]

    Huang, J

    C. Huang, J. Li, X. Huang, H. Zhang, D. Hu, M. Huo, X. Chen, Z. Chen, H. Sun, and M. Wang, Supercon- ductivity in monolayer-trilayer phase of La3Ni2O7 under high pressure (2025), arXiv:2510.12250 [cond-mat.supr- con]

    work page arXiv 2025

  42. [42]

    Flavenot, H

    M. Flavenot, H. Sahib, J. Robert, M. Lenertz, G. Versini, L. Schlur, A. Gloter, N. Viart, and D. Preziosi, Decoding Superconductivity in La3Ni2O7−δ Thin Films via Ozone- Driven Structure and Oxidation Tuning (2026)

    2026

  43. [43]

    Zhang, L.-F

    Y. Zhang, L.-F. Lin, A. Moreo, T. A. Maier, and E. Dagotto, Electronic structure, self-doping, and su- perconducting instability in the alternating single-layer trilayer stacking nickelates la 3ni2o7, Phys. Rev. B110, L060510 (2024)

    2024

  44. [44]

    Ouyang, J.-M

    Z. Ouyang, J.-M. Wang, R.-Q. He, and Z.-Y. Lu, DFT + DMFT study of correlated electronic structure in the monolayer-trilayer phase of la 3ni2o7, Phys. Rev. B111, 125111 (2025)

    2025

  45. [45]

    LaBollita, S

    H. LaBollita, S. Bag, J. Kapeghian, and A. S. Botana, Electronic correlations, layer distinction, and electron doping in the alternating single-layer–trilayer la 3ni2o7 polymorph, Phys. Rev. B110, 155145 (2024)

    2024

  46. [46]

    C. Rao, D. Buttrey, N. Otsuka, P. Ganguly, H. Har- rison, C. Sandberg, and J. Honig, Crystal structure and semiconductor-metal transition of the quasi-two- dimensional transition metal oxide, la2nio4, Journal of Solid State Chemistry51, 266 (1984)

    1984

  47. [47]

    D. X. Yao and E. W. Carlson, Spin-wave dispersion in half-doped La 3/2Sr1/2NiO4, Phys. Rev. B75, 012414 (2007)

    2007

  48. [48]

    P. G. Freeman, M. Enderle, S. M. Hayden, C. D. Frost, D. X. Yao, E. W. Carlson, D. Prabhakaran, and A. T. Boothroyd, Inward dispersion of the spin excitation spec- trum of stripe-ordered La 2NiO4+δ, Phys. Rev. B80, 144523 (2009)

    2009

  49. [49]

    J.-X. Wang, Z. Ouyang, R.-Q. He, and Z.-Y. Lu, Non- fermi liquid and hund correlation in la4ni3o10 under high pressure, Phys. Rev. B109, 165140 (2024)

    2024

  50. [50]

    Zhang, H

    M. Zhang, H. Sun, Y.-B. Liu, Q. Liu, W.-Q. Chen, and F. Yang,s ±-wave superconductivity in pressurized La4Ni3O10, Phys. Rev. B110, L180501 (2024)

    2024

  51. [51]

    C. Lu, Z. Pan, F. Yang, and C. Wu, Superconductivity in la 4ni3o10 under pressure, Phys. Rev. B111, 134515 (2025)

    2025

  52. [52]

    H. Li, X. Zhou, T. Nummy, J. Zhang, V. Pardo, W. E. Pickett, J. F. Mitchell, and D. S. Dessau, Fermiology and electron dynamics of trilayer nickelate La 4Ni3O10, Nature Communications8, 704 (2017)

    2017

  53. [53]

    Abadi, K.-J

    S. Abadi, K.-J. Xu, E. G. Lomeli, P. Puphal, M. Isobe, Y. Zhong, A. V. Fedorov, S.-K. Mo, M. Hashimoto, D.- H. Lu, B. Moritz, B. Keimer, T. P. Devereaux, M. Hep- ting, and Z.-X. Shen, Electronic structure of the alter- nating monolayer-trilayer phase of la 3ni2o7, Phys. Rev. Lett.134, 126001 (2025)

    2025

  54. [54]

    Graser, T

    S. Graser, T. Maier, P. Hirschfeld, and D. Scalapino, Near-degeneracy of several pairing channels in multi- orbital models for the Fe pnictides, New J. Phys.11, 025016 (2009)

    2009

  55. [55]

    T. K. Kope´ c and T. P. Polak, Superconducting phase transition in quantum three-dimensional josephson junc- tion arrays:c-axis anisotropy and charge frustration ef- fects, Phys. Rev. B62, 14419 (2000)

    2000