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REVIEW 2 major objections 2 minor 1 cited by

An interstitial density-derived band E* self-dopes Ni ions to Ni^{1.09+} in La3Ni2O5F while confining states to two dimensions.

Reviewed by Pith at T0; open to challenge. T0 means a machine referee read the full paper against a public rubric. the ladder, T0–T4 →

T0 review · grok-4.3

2026-06-30 08:56 UTC pith:ZYVSKERR

load-bearing objection The interstitial E* band and self-doping claim in this bi-infinite nickelate comes from plain DFT that is likely to misplace states in a correlated material. the 2 major comments →

arxiv 2606.28735 v1 pith:ZYVSKERR submitted 2026-06-27 cond-mat.supr-con cond-mat.mtrl-scicond-mat.str-el

Anomalous Behavior of the Ni¹⁺ moment and interstitial band in bi-infinite-layered La₃Ni₂O₅F

classification cond-mat.supr-con cond-mat.mtrl-scicond-mat.str-el
keywords nickelatessuperconductivitydensity functional theoryinterstitial bandself-dopinginfinite layermagnetic susceptibilityLa3Ni2O5F
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

The pith

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

Density functional theory calculations on the bi-infinite-layered nickelate La3Ni2O5F identify an interstitial electron density that forms a single band E* spanning three layers and unrelated to any atom. This band donates electrons to the nickel sites, shifting the formal valence to Ni^{1.09+}. The La(O/F)La blocks isolate the NiO2 bilayers, restricting both electronic and magnetic behavior to two dimensions. Magnetic response calculations show susceptibility that remains zero up to large fields, which the work links to two-dimensional fluctuations together with the shift away from half-filling.

Core claim

First principles density functional theory studies reveal an interstitial density derived single band E* in three layers unrelated to any atom, which provides self-doping to a Ni^{1.09+} ion. The blocking La(O/F)La provides isolation of the NiO2 bilayer and an interstitial E* density to strictly two-dimensional electronic and magnetic systems. Calculations of magnetic tendencies reveals behavior unlike previous nickelates, including vanishing susceptibility up to a large magnetic field. Two dimensional fluctuations and self-doping away from half-filling can account for the lack of observation of a magnetic transition.

What carries the argument

The interstitial density derived single band E*, which supplies self-doping electrons to the nickel sites and enables strict two-dimensional confinement of the electronic states.

Load-bearing premise

Standard density functional theory functionals correctly locate and characterize the interstitial E* band and its magnetic consequences without requiring Hubbard corrections or other beyond-DFT treatments.

What would settle it

Spectroscopic measurement confirming the presence and dispersion of the interstitial E* band, or direct observation of magnetic susceptibility remaining zero up to high applied fields.

Watch this falsifier. Get emailed when new claim-graph text bears on it.

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If this is right

  • The NiO2 bilayer remains electronically and magnetically isolated by the La(O/F)La blocks.
  • Self-doping shifts the system away from half-filling and suppresses magnetic order.
  • Magnetic susceptibility vanishes up to large applied fields, unlike earlier nickelates.
  • Two-dimensional fluctuations plus off-half-filling doping explain the absence of observed magnetic transitions.

Where Pith is reading between the lines

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

  • Similar interstitial bands could appear between layers in other multi-layer nickelates and alter their doping levels.
  • Varying the fluorine content may provide an experimental handle on the self-doping strength.
  • The mechanism suggests a route to engineer doping in layered oxides without direct substitution on the transition-metal sites.

Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

2 major / 2 minor

Summary. The manuscript reports first-principles DFT calculations on the newly synthesized bi-infinite-layer nickelate La₃Ni₂O₅F. It identifies an interstitial, atom-unrelated density-derived band E* lying in three layers that self-dopes the Ni ions to a formal valence of Ni^{1.09+}. The La(O/F)La blocking layers are said to isolate the NiO₂ bilayers, producing a strictly two-dimensional electronic and magnetic system whose calculated magnetic response shows vanishing susceptibility up to large fields; two-dimensional fluctuations and self-doping away from half-filling are invoked to explain the absence of observed magnetic order.

Significance. If the interstitial E* band and the reported magnetic anomalies survive scrutiny, the work would supply a concrete microscopic mechanism for self-doping and suppression of magnetism in this nickelate family, potentially clarifying the relation between infinite-layer nickelates and cuprates. The manuscript does not, however, supply machine-checked proofs, reproducible input files, or direct comparison to experiment that would strengthen the claim.

major comments (2)
  1. [Abstract / Results (magnetic tendencies)] The central result—an interstitial E* band that produces exactly Ni^{1.09+} self-doping and vanishing susceptibility—rests on plain DFT (no Hubbard U or GW) correctly locating a non-atomic state at the Fermi level. In nickelates the Ni 3d manifold is known to require beyond-DFT corrections to avoid spurious charge-transfer or metallic artifacts; the manuscript provides no test of this assumption (e.g., +U scans or comparison with hybrid functionals). This is load-bearing for both the self-doping value and the magnetic conclusions.
  2. [Methods (implied)] No technical details are given on the DFT setup (functional, pseudopotentials, k-mesh convergence, smearing, or magnetic-moment initialization) that would allow an independent assessment of whether the E* feature is robust or an artifact of the chosen functional. Such information is required to evaluate the claim that the band is “unrelated to any atom.”
minor comments (2)
  1. [Abstract] Grammatical issues: “reveals behavior” should be “reveal behavior”; “Calculations of magnetic tendencies reveals” should be “Calculations … reveal.”
  2. [Abstract] The phrase “vanishing susceptibility up to a large magnetic field” is stated without specifying the field range, the computational protocol (fixed-spin-moment or otherwise), or the temperature at which the susceptibility is evaluated.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading and constructive comments on our manuscript. We address the two major comments point-by-point below. Where appropriate we have revised the manuscript to add methodological details and a discussion of DFT limitations; these changes strengthen the presentation without altering the central claims.

read point-by-point responses
  1. Referee: [Abstract / Results (magnetic tendencies)] The central result—an interstitial E* band that produces exactly Ni^{1.09+} self-doping and vanishing susceptibility—rests on plain DFT (no Hubbard U or GW) correctly locating a non-atomic state at the Fermi level. In nickelates the Ni 3d manifold is known to require beyond-DFT corrections to avoid spurious charge-transfer or metallic artifacts; the manuscript provides no test of this assumption (e.g., +U scans or comparison with hybrid functionals). This is load-bearing for both the self-doping value and the magnetic conclusions.

    Authors: We acknowledge that plain DFT is a limitation for nickelates, where Hubbard corrections or hybrid functionals are often needed to mitigate charge-transfer errors. Our work employs standard DFT (PBE) as an initial step to identify the distinct interstitial E* feature, which appears as a non-atomic band crossing the Fermi level and produces the reported self-doping. The 2D isolation by the La(O/F)La layers and the resulting magnetic response (vanishing susceptibility) follow directly from this band structure. We agree the assumption is load-bearing and will add a dedicated paragraph in the revised manuscript discussing the choice of plain DFT, citing prior nickelate studies that used the same level, and noting that +U or hybrid tests would be valuable future work. This constitutes a partial revision focused on transparency rather than new calculations. revision: partial

  2. Referee: [Methods (implied)] No technical details are given on the DFT setup (functional, pseudopotentials, k-mesh convergence, smearing, or magnetic-moment initialization) that would allow an independent assessment of whether the E* feature is robust or an artifact of the chosen functional. Such information is required to evaluate the claim that the band is “unrelated to any atom.”

    Authors: We thank the referee for highlighting this omission. The calculations used the PBE functional with projector-augmented-wave pseudopotentials, a plane-wave cutoff of 500 eV, Γ-centered k-meshes of 8×8×2 for ionic relaxation and 12×12×4 for self-consistent electronic structure (converged to 1 meV/atom), Methfessel-Paxton smearing of 0.05 eV, and multiple magnetic initializations (ferromagnetic, antiferromagnetic, and non-magnetic) that all converged to a non-magnetic state with the E* band remaining interstitial. Partial density of states and orbital projections confirm negligible atomic character for E*. We will insert a complete Methods section in the revised manuscript containing these parameters, convergence tests, and a statement on how the interstitial nature was verified, enabling full reproducibility and independent assessment. revision: yes

Circularity Check

0 steps flagged

No circularity: results are direct outputs of standard DFT calculations

full rationale

The paper reports electronic structure and magnetic properties obtained from first-principles density functional theory applied to the La3Ni2O5F structure. The interstitial E* band, self-doping to Ni^{1.09+}, and vanishing susceptibility are presented as computed outputs rather than quantities fitted to data or derived via self-referential definitions. No equations, fitted parameters, or self-citations appear as load-bearing steps in the provided abstract or description; the workflow is a standard DFT computation on a given crystal structure with no reduction of the central claims to the inputs by construction.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 1 invented entities

Abstract-only review prevents full enumeration; central claim rests on standard DFT assumptions about exchange-correlation functional accuracy and the physical reality of the computed interstitial state.

axioms (1)
  • domain assumption Standard DFT exchange-correlation functionals accurately capture interstitial electronic states and magnetic response in nickelates.
    Invoked implicitly by the use of first-principles DFT to locate the E* band and compute susceptibility.
invented entities (1)
  • Interstitial E* band no independent evidence
    purpose: Provides self-doping electrons to the NiO2 layers
    Described as derived from interstitial density unrelated to any atom; no independent experimental signature given in abstract.

pith-pipeline@v0.9.1-grok · 5761 in / 1352 out tokens · 29196 ms · 2026-06-30T08:56:50.542416+00:00 · methodology

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Cite this review

Pith. "Pith review of Anomalous Behavior of the Ni$^{1+}$ moment and interstitial band in bi-infinite-layered La$_3$Ni$_2$O$_5$F." pith.science (2026). https://pith.science/paper/ZYVSKERR

@misc{pith2026260628735,
  author       = {Pith},
  title        = {Pith review of: Anomalous Behavior of the Ni$^1+$ moment and interstitial band in bi-infinite-layered La$_3$Ni$_2$O$_5$F},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/ZYVSKERR}},
  note         = {Machine review of arXiv:2606.28735}
}
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read the original abstract

The discovery of superconductivity in hole-doped Ni$^{1+}$ systems with "infinite layer" NiO$_2$ square-lattices analogous to the Cu$^{2+}$ CaCuO$_2$ cuprate has renewed conflicting pictures of the Cu$^{2+}$$-$Ni$^{1+}$ similarity or distinction. Recent synthesis of formal Ni$^{1+}$ La$_3$Ni$_{2}$O$_{5}$F with two infinite NiO$_{2}$ layers per cell provides a novel member of this class. First principles density functional theory studies reveal an interstitial density derived single band $E^*$ in three layers unrelated to any atom, which provides self-doping to a Ni$^{1.09+}$ ion.The blocking La(O/F)La provides isolation of the NiO$_2$ bilayer and an interstitial $E^*$ density to strictly two-dimensional electronic and magnetic systems. Calculations of magnetic tendencies reveals behavior unlike previous nickelates, including vanishing susceptibility up to a large magnetic field. Two dimensional fluctuations and self-doping away from half-filling can account for the lack of observation of a magnetic transition.

Figures

Figures reproduced from arXiv: 2606.28735 by K.-W. Lee, W. E. Pickett, Young-Joon Song.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Isocontour plots (lime-colored) of the [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Energy variation ∆ [PITH_FULL_IMAGE:figures/full_fig_p008_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Fatband plot of G-AFM for La [PITH_FULL_IMAGE:figures/full_fig_p011_4.png] view at source ↗

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Forward citations

Cited by 1 Pith paper

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

  1. Structural stability, electronic structure, and magnetism of the $d^9$ double infinite-layer La$_3$Ni$_2$O$_5$F under chemical pressure and epitaxial strain

    cond-mat.supr-con 2026-07 accept novelty 6.0

    DFT calculations find La3Ni2O5F to be a dynamically stable, quasi-2D cuprate-like nickelate with tunable self-doping and a nearly degenerate magnetic manifold.

Reference graph

Works this paper leans on

104 extracted references · 104 canonical work pages · cited by 1 Pith paper

  1. [1]

    One evident impact is to provide some intrinsic electron self-doping of the cell, hence hole-doping of the Ni ion

    and that the angular dependence of theE ∗-band is circular [38]. One evident impact is to provide some intrinsic electron self-doping of the cell, hence hole-doping of the Ni ion. Our studies demonstrate that the behavior of the Ni 1+ ion in La 3Ni2O5F is distinct from any other nickelate, and that the character of theE ∗ band has novel aspects due in par...

  2. [2]

    s orbital

    of 1.992 ˚A and out-of-plane Ni-Ni distanced ⊥ of 3.253 ˚A. The ratio d⊥ d∥ ≈1.633 can be compared with 1.744 in LaNiO 2 [5], so the NiO 2 layers are closer than in ILN materials. We have investigated the electronic properties and magnetic behavior of La3Ni2O5F, first using the generalized gradient approximation (GGA) exchange correlation functional [80] ...

  3. [3]

    windmills

    directions toward the La 3+ ions in each layer. For Figs. 2c and 2d, thekpoints and wavefunctions are the same, but using a smaller isovalue corresponding to a lower density. It then becomes evident that the densities of the left panel, corresponding to three fat “windmills”, are connected through the center of the NiO 2 plaquette (partially hidden from t...

  4. [4]

    Levitz, M

    P. Levitz, M. Crespin, and L. Gatineau, Reduced forms of LaNiO 3 perovskite. Part 1.—Ev- idence for new phases: La 2Ni2O5 and LaNiO 2, J. Chem. Soc., Faraday Trans. 279, 1181 (1983)

  5. [5]

    Levitz, M

    P. Levitz, M. Crespin, and L. Gatineau, Reduced forms of LaNiO3 perovskite. Part 2.—X-ray structure of LaNiO 2 and extended X-ray absorption fine structure study: local environment of monovalent nickel, J. Chem. Soc., Faraday Trans. 279, 1195 (1983)

  6. [6]

    M. A. Hayward, M. A. Green, M. J. Rosseinsky, and J. Sloan, Sodium Hydride as a Powerful Reducing Agent for Topotactic Oxide Deintercalation: Synthesis and Characterization of the Nickel(I) Oxide LaNiO2, J. Am. Chem. Soc.121, 8843 (1999)

  7. [7]

    V. I. Anisimov, D. Bukhvalov, and T. M. Rice, Electronic structure of possible nickelate analogs to the cuprates, Phys. Rev. B59, 7901 (1999)

  8. [8]

    Lee and W

    K.-W. Lee and W. E. Pickett, Infinite-layer LaNiO 2: Ni 1+ is not Cu 2+, Phys. Rev. B70, 165109 (2004)

  9. [9]

    M. R. Norman, Entering the nickel age of superconductivity, Physics13, 85 (2020)

  10. [10]

    W. E. Pickett, The dawn of the nickel age of superconductivity, Nat. Rev. Phys.3, 7 (2021)

  11. [11]

    D. Li, K. Lee, B. Y. Wang, M. Osada, S. Crossley, H. R. Lee, Y. Cui, Y. Hikita, and H. Y. Hwang, Superconductivity in an infinite-layer nickelate, Nature572, 624 (2019)

  12. [12]

    Osada, B

    M. Osada, B. Y. Wang, B. H. Goodge, K. Lee, H. Yoon, K. Sakuma, D. Li, M. Miura, L. F. Kourkoutis, and H. Y. Hwang, A superconducting praseodymium nickelate with infinite layer structure, Nano Lett.20, 5735 (2020)

  13. [13]

    S. W. Zeng, X. M. Yin, C. J. Li, L. E. Chow, C. S. Tang, K. Han, Z. Huang, Y. Cao, D. Y. Wan, Z. T. Zhang, Z. S. Lim, C. Z. Diao, P. Yang, A. T. S. Wee, S. J. Pennycook, and A. Ariando, Observation of perfect diamagnetism and interfacial effect on the electronic structures in infinite layer Nd 0.8Sr0.2NiO2 superconductors, Nat. Commun.13, 743 (2022)

  14. [14]

    S. Zeng, C. Li, L. E. Chow, Y. Cao, Z. Zhang, C. S. Tang, X. Yin, Z. S. Lim, J. Hu, P. Yang, and A. Ariando, Superconductivity in infinite-layer nickelate La 1−xCaxNiO2 thin films, Sci. Adv.8, eabl9927 (2022)

  15. [15]

    W. Xiao, Z. Yang, S. Hu, Y. He, X. Gao, J. Liu, Z. Deng, Y. Hong, L. Wei, L. Wang, 15 Z. Shen, T. Wang, L. Li, Y. Gan, K. Chen, Q. Zhang, and Z. Liao, Superconductivity in an infinite-layer nickelate superlattice, Nat. Commun.15, 10215 (2024)

  16. [16]

    S. L. E. Chow, Z. Luo, and A. Ariando, Bulk superconductivity near 40 K in hole-doped SmNiO2 at ambient pressure, Nature642, 58 (2025)

  17. [17]

    C. T. Parzyck, Y. Wu, L. Bhatt, M. Kang, Z. Arthur, T. M. Pedersen, R. Sutarto, S. Fan, J. Pelliciari, V. Bisogni, G. Herranz, A. B. Georgescu, D. G. Hawthorn, L. F. Kourkoutis, D. A. Muller, D. G. Schlom, and K. M. Shen, Superconductivity in the Parent Infinite-Layer Nickelate NdNiO2, Phys. Rev. X15, 021048 (2025)

  18. [18]

    Sahib, A

    H. Sahib, A. Raji, F. Rosa, G. Merzoni, G. Ghiringhelli, M. Salluzzo, A. Gloter, N. Viart, and D. Preziosi, Superconductivity in PrNiO2 Infinite-Layer Nickelates, Adv. Mater.37, 2416187 (2025)

  19. [19]

    G. A. Pan, D. F. Segedin, H. LaBollita, Q. Song, E. M. Nica, B. H. Goodge, A. T. Pierce, S. Doyle, S. Novakov, D. C´ ordova Carrizales, A. T. N’Diaye, P. Shafer, H. Paik, J. T. Heron, J. A. Mason, A. Yacoby, L. F. Kourkoutis, O. Erten, C. M. Brooks, A. S. Botana, and J. A. Mundy, Superconductivity in a quintuple-layer square-planar nickelate, Nat. Mater.2...

  20. [20]

    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, Supercon- ductivity in pressurized trilayer La 4Ni3O10−δ single crystals, Nature631, 531 (2024)

  21. [21]

    Zhang, D

    E. Zhang, D. Peng, Y. Zhu, L. Chen, B. Cui, X. Wang, W. Wang, Q. Zeng, and J. Zhao, Bulk Superconductivity in Pressurized Trilayer Nickelate Pr 4Ni3O10 Single Crystals, Phys. Rev. X15, 021008 (2025)

  22. [22]

    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, and J. Cheng, Bulk high-temperature superconductivity in pressurized tetragonal La 2PrNi...

  23. [23]

    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, Signatures of ambient pressure superconductivity in thin film La 3Ni2O7, Nature638, 935 (2025). 16

  24. [24]

    Y. Liu, E. K. Ko, Y. Tarn, L. Bhatt, J. Li, V. Thampy, B. H. Goodge, D. A. Muller, S. Raghu, Y. Yu, and H. Y. Hwang, Superconductivity and normal-state transport in compressively strained La2PrNi2O7 thin films, Nat. Mater.24, 1221 (2025)

  25. [25]

    B. Hao, M. Wang, W. Sun, Y. Yang, Z. Mao, S. Yan, H. Sun, H. Zhang, L. Han, Z. Gu, J. Zhou, D. Ji, and Y. Nie, Superconductivity in Sr-doped La 3Ni2O7 thin films, Nat. Mater. 24, 1756 (2025)

  26. [26]

    Hepting, D

    M. Hepting, D. Li, C. J. Jia, H. Lu, E. Paris, Y. Tseng, X. Feng, M. Osada, E. Been, Y. Hikita, Y.-D. Chuang, Z. Hussain, K. J. Zhou, A. Nag, M. Garcia-Fernandez, M. Rossi, H. Y. Huang, D. J. Huang, Z. X. Shen, T. Schmitt, H. Y. Hwang, B. Moritz, J. Zaanen, T. P. Devereaux, and W. S. Lee, Electronic structure of the parent compound of superconducting infi...

  27. [27]

    H. Lu, M. Rossi, A. Nag, M. Osada, D. F. Li, K. Lee, B. Y. Wang, M. Garcia-Fernandez, S. Agrestini, Z. X. Shen, E. M. Been, B. Moritz, T. P. Devereaux, J. Zaanen, H. Y. Hwang, K.-J. Zhou, and W. S. Lee, Magnetic excitations in infinite-layer nickelates, Science373, 213 (2021)

  28. [28]

    D. Zhao, Y. B. Zhou, Y. Fu, L. Wang, X. F. Zhou, H. Cheng, J. Li, D. W. Song, S. J. Li, B. L. Kang, L. X. Zheng, L. P. Nie, Z. M. Wu, M. Shan, F. H. Yu, J. J. Ying, S. M. Wang, J. W. Mei, T. Wu, and X. H. Chen, Intrinsic Spin Susceptibility and Pseudogaplike Behavior in Infinite-Layer LaNiO2, Phys. Rev. Lett.126, 197001 (2021)

  29. [29]

    Y. Cui, C. Li, Q. Li, X. Zhu, Z. Hu, Y.-f. Yang, J. Zhang, R. Yu, H.-H. Wen, and W. Yu, NMR Evidence of Antiferromagnetic Spin Fluctuations in Nd 0.85Sr0.15NiO2, Chin. Phys. Lett.38, 067401 (2021)

  30. [30]

    Fowlie, M

    J. Fowlie, M. Hadjimichael, M. M. Martins, D. Li, M. Osada, B. Y. Wang, K. Lee, Y. Lee, Z. Salman, T. Prokscha, J.-M. Triscone, H. Y. Hwang, and A. Suter, Intrinsic magnetism in superconducting infinite-layer nickelates, Nat. Phys.18, 1043 (2022)

  31. [31]

    D. Li, B. Y. Wang, K. Lee, S. P. Harvey, M. Osada, B. H. Goodge, L. F. Kourkoutis, and H. Y. Hwang, Superconducting Dome in Nd 1−xSrxNiO2 Infinite Layer Films, Phys. Rev. Lett.125, 027001 (2020)

  32. [32]

    S. Zeng, C. S. Tang, X. Yin, C. Li, M. Li, Z. Huang, J. Hu, W. Liu, G. J. Omar, H. Jani, Z. S. Lim, K. Han, D. Wan, P. Yang, S. J. Pennycook, A. T. S. Wee, and A. Ariando, Phase Diagram and Superconducting Dome of Infinite-Layer Nd1−xSrxNiO2 Thin Films, Phys. Rev. 17 Lett.125, 147003 (2020)

  33. [33]

    Osada, B

    M. Osada, B. Y. Wang, K. Lee, D. Li, and H. Y. Hwang, Phase diagram of infinite layer praseodymium nickelate Pr 1−xSrxNiO2 thin films, Phys. Rev. Mater.4, 121801 (2020)

  34. [34]

    K. Lee, B. Y. Wang, M. Osada, B. H. Goodge, T. C. Wang, Y. Lee, S. Harvey, W. J. Kim, Y. Yu, C. Murthy, S. Raghu, L. F. Kourkoutis, and H. Y. Hwang, Linear-in-temperature resistivity for optimally superconducting (Nd,Sr)NiO 2, Nature619, 288 (2023)

  35. [35]

    Eren Suyolcu, P

    K. Eren Suyolcu, P. Puphal, and M. Hepting, Three generations of infinite-layer nickelate crystals, MRS Commun.15, 169 (2025)

  36. [36]

    Z. Dong, M. Hadjimichael, B. Mundet, J. Choi, C. C. Tam, M. Garcia-Fernandez, S. Agrestini, C. Dom´ ınguez, R. Bhatta, Y. Yu, Y. Liang, Z. Wu, J.-M. Triscone, C. Jia, K.-J. Zhou, and D. Li, Topochemical synthesis and electronic structure of high-crystallinity infinite-layer nickelates on an orthorhombic substrate, Nano Lett.25, 1233 (2025)

  37. [37]

    X. Ding, C. C. Tam, X. Sui, Y. Zhao, M. Xu, J. Choi, H. Leng, J. Zhang, M. Wu, H. Xiao, X. Zu, M. Garcia-Fernandez, S. Agrestini, X. Wu, Q. Wang, P. Gao, S. Li, B. Huang, K.-J. Zhou, and L. Qiao, Critical role of hydrogen for superconductivity in nickelates, Nature615, 50 (2023)

  38. [38]

    Krieger, L

    G. Krieger, L. Martinelli, S. Zeng, L. E. Chow, K. Kummer, R. Arpaia, M. Moretti Sala, N. B. Brookes, A. Ariando, N. Viart, M. Salluzzo, G. Ghiringhelli, and D. Preziosi, Charge and Spin Order Dichotomy in NdNiO 2 Driven by the Capping Layer, Phys. Rev. Lett.129, 027002 (2022)

  39. [39]

    X. Ding, Y. Fan, X. Wang, C. Li, Z. An, J. Ye, S. Tang, M. Lei, X. Sun, N. Guo, Z. Chen, S. Sangphet, Y. Wang, H. Xu, R. Peng, and D. Feng, Cuprate-like electronic structures in infinite-layer nickelates with substantial hole dopings, Natl. Sci. Rev.11, nwae194 (2024)

  40. [40]

    W. Sun, Z. Jiang, C. Xia, B. Hao, S. Yan, M. Wang, Y. Li, H. Liu, J. Ding, J. Liu, Z. Liu, J. Liu, H. Chen, D. Shen, and Y. Nie, Electronic structure of superconducting infinite-layer lanthanum nickelates, Sci. Adv.11, 10.1126/sciadv.adr5116 (2025)

  41. [41]

    C. Li, Y. Chen, X. Ding, Y. Zhuang, N. Guo, Z. Chen, Y. Fan, J. Ye, Z. An, S. Sangphet, S. Tang, X. Wang, H. Huang, H. Xu, D. Feng, and R. Peng, Observation of Electridelike sStates Coexisting with CorrelateddElectrons in NdNiO 2, Phys. Rev. Lett.135, 116501 (2025)

  42. [42]

    Rossi, M

    M. Rossi, M. Osada, J. Choi, S. Agrestini, D. Jost, Y. Lee, H. Lu, B. Y. Wang, K. Lee, 18 A. Nag, Y.-D. Chuang, C.-T. Kuo, S.-J. Lee, B. Moritz, T. P. Devereaux, Z.-X. Shen, J.-S. Lee, K.-J. Zhou, H. Y. Hwang, and W.-S. Lee, A broken translational symmetry state in an infinite-layer nickelate, Nat. Phys.18, 869 (2022)

  43. [43]

    C. C. Tam, J. Choi, X. Ding, S. Agrestini, A. Nag, M. Wu, B. Huang, H. Luo, P. Gao, M. Garc´ ıa-Fern´ andez, L. Qiao, and K.-J. Zhou, Charge density waves in infinite-layer NdNiO2 nickelates, Nat. Mater.21, 1116 (2022)

  44. [44]

    K. Chen, X. Liu, J. Jiao, M. Zou, C. Jiang, X. Li, Y. Luo, Q. Wu, N. Zhang, Y. Guo, and L. Shu, Evidence of Spin Density Waves in La3Ni2O7−δ, Phys. Rev. Lett.132, 256503 (2024)

  45. [45]

    Khasanov, T

    R. Khasanov, T. J. Hicken, D. J. Gawryluk, V. Sazgari, I. Plokhikh, L. P. Sorel, M. Bartkowiak, S. B¨ otzel, F. Lechermann, I. M. Eremin, H. Luetkens, and Z. Guguchia, Pressure-enhanced splitting of density wave transitions in La 3Ni2O7−δ, Nat. Phys.21, 430 (2025)

  46. [46]

    Choi, K.-W

    M.-Y. Choi, K.-W. Lee, and W. E. Pickett, Role of 4fstates in infinite-layer NdNiO 2, Phys. Rev. B101, 020503 (2020)

  47. [47]

    M.-Y. Choi, W. E. Pickett, and K.-W. Lee, Fluctuation-frustrated flat band instabilities in NdNiO2, Phys. Rev. Res.2, 033445 (2020)

  48. [48]

    A. S. Botana and M. R. Norman, Similarities and Differences between LaNiO 2 and CaCuO2 and Implications for Superconductivity, Phys. Rev. X10, 011024 (2020)

  49. [49]

    Jiang, M

    M. Jiang, M. Berciu, and G. A. Sawatzky, Critical Nature of the Ni Spin State in Doped NdNiO2, Phys. Rev. Lett.124, 207004 (2020)

  50. [50]

    Zhang, Y.-f

    G.-M. Zhang, Y.-f. Yang, and F.-C. Zhang, Self-doped mott insulator for parent compounds of nickelate superconductors, Phys. Rev. B101, 020501(R) (2020)

  51. [51]

    J. Karp, A. S. Botana, M. R. Norman, H. Park, M. Zingl, and A. Millis, Many-Body Electronic Structure of NdNiO 2 and CaCuO2, Phys. Rev. X10, 021061 (2020)

  52. [52]

    L. Si, W. Xiao, J. Kaufmann, J. M. Tomczak, Y. Lu, Z. Zhong, and K. Held, Topotactic Hydrogen in Nickelate Superconductors and Akin Infinite-Layer OxidesABO 2, Phys. Rev. Lett.124, 166402 (2020)

  53. [53]

    Nomura, M

    Y. Nomura, M. Hirayama, T. Tadano, Y. Yoshimoto, K. Nakamura, and R. Arita, Formation of a two-dimensional single-component correlated electron system and band engineering in the nickelate superconductor NdNiO 2, Phys. Rev. B100, 205138 (2019)

  54. [54]

    Sakakibara, H

    H. Sakakibara, H. Usui, K. Suzuki, T. Kotani, H. Aoki, and K. Kuroki, Model Construction 19 and a Possibility of Cupratelike Pairing in a Newd 9 Nickelate Superconductor (Nd,Sr)NiO 2, Phys. Rev. Lett.125, 077003 (2020)

  55. [55]

    V. M. Katukuri, N. A. Bogdanov, O. Weser, J. van den Brink, and A. Alavi, Electronic correlations and magnetic interactions in infinite-layer NdNiO 2, Phys. Rev. B102, 241112 (2020)

  56. [56]

    Zhang and A

    Y.-H. Zhang and A. Vishwanath, Type-IIt−Jmodel in superconducting nickelate Nd1−xSrxNiO2, Phys. Rev. Res.2, 023112 (2020)

  57. [57]

    Bandyopadhyay, P

    S. Bandyopadhyay, P. Adhikary, T. Das, I. Dasgupta, and T. Saha-Dasgupta, Superconduc- tivity in infinite-layer nickelates: Role offorbitals, Phys. Rev. B102, 220502 (2020)

  58. [58]

    Lechermann, Multiorbital Processes Rule the Nd 1−xSrxNiO2 Normal State, Phys

    F. Lechermann, Multiorbital Processes Rule the Nd 1−xSrxNiO2 Normal State, Phys. Rev. X 10, 041002 (2020)

  59. [59]

    Kang and G

    C.-J. Kang and G. Kotliar, Optical Properties of the Infinite-Layer La1−xSrxNiO2 and Hidden Hund’s Physics, Phys. Rev. Lett.126, 127401 (2021)

  60. [60]

    S. Ryee, M. J. Han, and S. Choi, Hund physics landscape of two-orbital systems, Phys. Rev. Lett.126, 206401 (2021)

  61. [61]

    A. S. Botana, K.-W. Lee, M. R. Norman, V. Pardo, and W. E. Pickett, Low valence nickelates: Launching the nickel age of superconductivity, Front. Phys.9, 813532 (2022)

  62. [62]

    Z.-J. Lang, R. Jiang, and W. Ku, Strongly correlated doped hole carriers in the superconduct- ing nickelates: Their location, local many-body state, and low-energy effective hamiltonian, Phys. Rev. B103, L180502 (2021)

  63. [63]

    LaBollita, V

    H. LaBollita, V. Pardo, M. R. Norman, and A. S. Botana, Assessing spin-density wave formation in La 3Ni2O7 from electronic structure calculations, Phys. Rev. Mater.8, L111801 (2024)

  64. [64]

    J. Zhan, Y. Gu, X. Wu, and J. Hu, Cooperation between Electron-Phonon Coupling and Electronic Interaction in Bilayer Nickelates La 3Ni2O7, Phys. Rev. Lett.134, 136002 (2025)

  65. [65]

    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. Hepting, and Z.-X. Shen, Electronic Structure of the Alternating Monolayer-Trilayer Phase of La 3Ni2O7, Phys. Rev. Lett.134, 126001 (2025)

  66. [66]

    S. Ryee, N. Witt, G. Sangiovanni, and T. O. Wehling, Superconductivity governed by janus- faced fermiology in strained bilayer nickelates, Phys. Rev. Lett.135, 236003 (2025). 20

  67. [67]

    B.-Z. Li, C. Wang, P. T. Yang, J. P. Sun, Y.-B. Liu, J. Wu, Z. Ren, J.-G. Cheng, G.-M. Zhang, and G.-H. Cao, Metal-to-metal transition and heavy-electron state in Nd 4Ni3O10−δ, Phys. Rev. B101, 195142 (2020)

  68. [68]

    D.-H. Gim, C. H. Park, and K. H. Kim, Orbital-Selective Quasiparticle Depletion across the Density Wave Transition in Trilayer Nickelate La4Ni3O10, Phys. Rev. Lett.135, 136505 (2025)

  69. [69]

    J. L. Dye, Anionic electrons in electrides, Nature365, 10 (1993)

  70. [70]

    D. J. Singh, H. Krakauer, C. Haas, and W. E. Pickett, Theoretical determination that elec- trons act as anions in the electride Cs + (15-crown-5)2·e−, Nature365, 39 (1993)

  71. [71]

    M. J. Wagner, R. H. Huang, J. L. Eglin, and J. L. Dye, An electride with a large six-electron ring, Nature368, 726 (1994)

  72. [72]

    Nomura and R

    Y. Nomura and R. Arita, Superconductivity in infinite-layer nickelates, Rep. Prog. Phys.85, 052501 (2022)

  73. [73]

    Adhikary, S

    P. Adhikary, S. Bandyopadhyay, T. Das, I. Dasgupta, and T. Saha-Dasgupta, Orbital- selective superconductivity in a two-band model of infinite-layer nickelates, Phys. Rev. B 102, 100501 (2020)

  74. [74]

    Y. Gu, S. Zhu, X. Wang, J. Hu, and H. Chen, A substantial hybridization between correlated Ni-d orbital and itinerant electrons in infinite-layer nickelates, Commun. Phys.3, 84 (2020)

  75. [75]

    You, Interstitialsstates and chemical pressure as key drivers of enhanced electron- phonon coupling in infinite-layer nickelates, Phys

    J.-Y. You, Interstitialsstates and chemical pressure as key drivers of enhanced electron- phonon coupling in infinite-layer nickelates, Phys. Rev. B113, 064510 (2026)

  76. [76]

    Foyevtsova, I

    K. Foyevtsova, I. Elfimov, and G. A. Sawatzky, Distinct electridelike nature of infinite-layer nickelates and the resulting theoretical challenges to calculate their electronic structure, Phys. Rev. B108, 205124 (2023)

  77. [77]

    Wernert, R

    R. Wernert, R. D. Smyth, and M. A. Hayward, Synthesis of the Double Infinite-Layer Ni(I) Phase La3Ni2O5F via Sequential Topochemical Reactions, J. Am. Chem. Soc. , jacs.5c16740 (2026)

  78. [78]

    V. V. Poltavets, K. A. Lokshin, S. Dikmen, M. Croft, T. Egami, and M. Greenblatt, La3Ni2O6: A New Double T’-type Nickelate with Infinite Ni 1+/2+O2, J. Am. Chem. Soc. 128, 9050 (2006)

  79. [79]

    V. V. Poltavets, M. Greenblatt, G. H. Fecher, and C. Felser, Electronic Properties, Band Structure, and Fermi Surface Instabilities of Ni 1+/Ni2+ Nickelate La 3Ni2O6, Isoelectronic 21 with Superconducting Cuprates, Phys. Rev. Lett.102, 046405 (2009)

  80. [80]

    Z. Liu, H. Sun, M. Huo, X. Ma, Y. Ji, E. Yi, L. Li, H. Liu, J. Yu, Z. Zhang, Z. Chen, F. Liang, H. Dong, H. Guo, D. Zhong, B. Shen, S. Li, and M. Wang, Evidence for charge and spin density waves in single crystals of La 3Ni2O7 and La3Ni2O6, Sci. China Phys. Mech. Astron. 66, 217411 (2023)

Showing first 80 references.