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REVIEW 3 major objections 5 minor 41 references

Pressure moves oxygen holes from apical sites to in-plane orbitals in La4Ni3O10, producing mobile carriers that favor superconductivity only in the high-pressure phase.

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 →

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2026-07-14 21:38 UTC pith:P5FRGYNB

load-bearing objection Solid trilayer-cluster ED shows a clear pressure-driven apical-to-in-plane hole switch; the SC mobility/glue story is an explicit, uncomputed cartoon extension. the 3 major comments →

arxiv 2603.13808 v3 pith:P5FRGYNB submitted 2026-03-14 cond-mat.str-el

Pressure induced redistribution of oxygen hole states in La₄Ni₃O₁₀

Guiwen Jiang , Liang Si , George A. Sawatzky , Mi Jiang This is my paper
classification cond-mat.str-el
keywords La4Ni3O10trilayer nickelatepressure-induced superconductivityZhang-Rice singletthree-spin polaronoxygen hole statescluster exact diagonalizationRuddlesden-Popper nickelates
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.

This paper argues that the two extra holes in trilayer La4Ni3O10 sit in different places depending on pressure, and that only the high-pressure arrangement produces freely moving in-plane carriers. At ambient pressure one hole forms a Zhang-Rice singlet on the central NiO2 layer while the other sits on the antibonding combination of the two apical oxygen pz orbitals, hybridized with an out-of-plane three-spin polaron built from the three Ni dz2 orbitals. Under high pressure both holes move onto in-plane oxygen orbitals of the outer and inner layers, forming Zhang-Rice singlets or in-plane three-spin polarons that can hop between neighboring clusters. The authors propose that these in-plane quasiparticles act as the mobile carriers while the residual interplane three-spin-polaron states supply the pairing glue, so superconductivity appears only after the pressure-driven hole redistribution. The claim matters because it links the observed structural and density-wave changes under pressure directly to the emergence of superconductivity through a concrete local electronic mechanism shared with the bilayer nickelate.

Core claim

Starting from nominal Ni2+ valence, exact diagonalization of an eight-hole Ni3O14 cluster shows that ambient-pressure ground states place one extra hole in a central-layer Zhang-Rice singlet and the second hole on the antibonding apical oxygen combination hybridized with an out-of-plane three-spin polaron of the three dz2 orbitals; high pressure transfers both holes onto in-plane oxygen orbitals of the outer and inner layers, forming Zhang-Rice singlets or in-plane three-spin polarons that can propagate between neighboring clusters and thereby enable superconductivity.

What carries the argument

The minimal multi-orbital Ni3O14 cluster (three Ni eg orbitals plus hybridizing oxygen p orbitals) solved by exact diagonalization with full local Coulomb and exchange interactions; its ground-state configuration weights and total-spin multiplets as functions of the DFT-derived hoppings reveal the pressure-driven switch from apical to in-plane oxygen-hole occupancy.

Load-bearing premise

The ground-state hole placements found on a single isolated eight-hole cluster, plus a hand sketch of how two such clusters might sit next to each other, are enough to conclude that freely propagating in-plane quasiparticles and an interlayer pairing glue appear only under high pressure.

What would settle it

A high-pressure spectroscopic measurement (RIXS, ARPES or oxygen K-edge XAS) that finds the extra holes still predominantly on apical oxygen rather than transferred to in-plane oxygen orbitals of the outer layers would falsify the proposed redistribution and the resulting SC scenario.

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

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If this is right

  • Superconductivity appears only after pressure drives the oxygen holes into the in-plane orbitals of the outer layers, generating mobile three-spin-polaron-like carriers.
  • The residual out-of-plane three-spin-polaron states remaining under pressure can act as the interlayer pairing glue, naturally explaining the lower Tc relative to the bilayer compound.
  • Ambient-pressure density-wave order is tied to a central-layer insulating Zhang-Rice singlet plus weakly coupled outer-layer spins, consistent with the observed suppression of both SDW and CDW under pressure.
  • The same local hole-redistribution picture unifies the bilayer La3Ni2O7 and trilayer La4Ni3O10 electronic structures once neighboring-cluster configurations are considered.

Where Pith is reading between the lines

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

  • If the in-plane three-spin polarons are the true mobile carriers, doping or strain that further stabilizes them at ambient pressure should induce superconductivity without the structural transition.
  • The small energy spacing among low-spin multiplets at ambient pressure implies that modest inter-cluster coupling could select among several nearly degenerate spin-density-wave patterns, offering a route to the extra low-temperature SDW reported by muon spin rotation.
  • The same apical-to-planar hole transfer should be visible as a pressure-induced change in the oxygen K-edge XAS dichroism between apical and equatorial oxygen 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

3 major / 5 minor

Summary. The manuscript studies the local electronic structure of trilayer La4Ni3O10 with DFT-derived Wannier hoppings (Table I) and multi-orbital exact diagonalization of an isolated Ni3O14 cluster (Hamiltonian Eq. 1). Starting from three nominal Ni2+ ions plus two extra holes, the ambient-pressure ground state is dominated by a central-layer Zhang-Rice singlet together with an antibonding apical O pz hole hybridized to an out-of-plane three-spin polaron of the three dz2 orbitals (Figs. 3–5). At high pressure the apical weight collapses and both extra holes form in-plane ZRS/3SP-like states on outer and inner layers. The authors then sketch neighboring-cluster cartoons (Figs. 3, 6, 8) and propose that the pressure-driven hole transfer produces mobile in-plane 3SP quasiparticles whose interlayer coupling, together with residual out-of-plane 3SP states, favors superconductivity only under pressure.

Significance. If the local reconfiguration is robust, the work supplies a concrete, multi-orbital microscopic picture that links the ambient-pressure density-wave regime to the high-pressure superconducting regime of La4Ni3O10 and draws a useful parallel with the bilayer compound. The ED spectra are numerically exact for the stated Hamiltonian, the DFT hoppings and Racah parameters are fully tabulated, and the pressure-driven change in configuration weights and spin multiplets is a falsifiable local prediction. The mobility/pairing extrapolation is more speculative, but the local physics itself is a valuable benchmark for larger-scale theories of trilayer nickelates.

major comments (3)
  1. Abstract and Sec. IV: the claim that high-pressure hole transfer generates freely propagating in-plane 3SP-like quasiparticles (and that residual interplane 3SP supplies the pairing glue) is not supported by any inter-cluster calculation. All quantitative results are isolated Ni3O14 7/8/9-hole spectra (Figs. 4, 5, 7); the paper itself states that explicit inter-cluster work is 'formidable and out of the scope' (Sec. III, IV). Without even a rough estimate of inter-cluster hopping or 3SP bandwidth, the mobility/pairing scenario remains an untested extrapolation and should be clearly labeled as such, or supported by a controlled estimate.
  2. Sec. III A and Fig. 4: pressure is simulated by scaling tpd at fixed tpd/tdO ratio. While the DFT points at 0 GPa and 15.3 GPa already sit on opposite sides of the configuration switch, the continuous scaling is an ad-hoc surrogate. The manuscript should either (i) show that the same switch occurs when all hoppings and on-site energies are taken from intermediate-pressure DFT structures, or (ii) quantify how sensitive the transition point is to independent variation of tdO, tpo and the on-site energies listed in Table I.
  3. Sec. III C: the conductivity gap is defined as E7+9 – E8+8 and declared 'small' and 'within the expected bandwidth,' yet no numerical value or comparison to a realistic inter-cluster scale is given. A quantitative gap (or its absence) is needed before the metallic/density-wave interpretation can be assessed.
minor comments (5)
  1. Abstract vs. main text: the abstract states that at high pressure the two holes form ZRS with dx2–y2 orbitals, while Sec. III and Fig. 3 also invoke in-plane 3SP with a neighboring cluster; the wording should be made consistent.
  2. Fig. 1 caption and Table I: the distinction between in-plane p (px,py) and apical O (pz) is clear in the table but less so in the figure; a short legend would help.
  3. Notation: the symbols {·} and [·] for triplet/singlet pairs appear in Fig. 4 without a reminder in the caption; a one-line definition would improve readability.
  4. Several recent experimental works on SDW/CDW and RIXS in La4Ni3O10 (already cited) could be more explicitly compared to the predicted central-layer insulation and outer-layer spin alternation at ambient pressure.
  5. Typographical: 'W annier' and 'Op z' spacing inconsistencies appear in Sec. II; 'd 3z2−r2' formatting is uneven.

Circularity Check

1 steps flagged

ED configuration weights are independent; only the interpretive SC narrative leans on the authors' prior bilayer language without reducing the new spectra by construction.

specific steps
  1. self citation load bearing [Abstract; Sec. III (paragraph after Fig. 3); Sec. IV]
    "We highlight the similarities between the bilayer La3Ni2O7 and trilayer La4Ni3O10 via speculated possible charge and spin configurations as well as the in-plane 3SP on two neighboring clusters suggested by our isolated cluster results. We thereby propose that the hole transfer from apical to in-plane oxygen orbitals of outer layer generates in-plane 3SP-like quasiparticles that act as mobile carriers coupled by interlayer superexchange; while the interplane 3SP-like states may provide the pairing glue."

    The mobility/pairing narrative is justified by extending the isolated-cluster GS weights with cartoons of neighboring clusters (Figs. 3, 6, 8) and by explicit analogy to the authors' prior bilayer ED study [30]. The paper itself states that explicit inter-cluster calculations are 'formidable and out of the scope.' The self-citation therefore supplies the interpretive leap from local configuration weights to freely propagating quasiparticles and pairing glue, but it does not force the ED spectra themselves, which remain independent.

full rationale

The load-bearing numerical results are the exact-diagonalization ground-state weights and spin multiplet gaps of the isolated Ni3O14 8-hole (and 7-/9-hole) clusters at DFT-derived hoppings (Table I, Figs. 4-5, 7). Those spectra are obtained by diagonalizing the multi-orbital Hamiltonian (Eq. 1) with fixed Racah parameters and oxygen U; they are not fitted to any target SC or density-wave observable and do not reduce by construction to their inputs. The pressure-driven reconfiguration (apical antibonding hole + out-of-plane 3SP at ambient pressure versus two in-plane ZRS/3SP at high pressure) is therefore an independent first-principles output of the cluster model. The subsequent claim that high-pressure in-plane 3SP-like states become mobile carriers while residual out-of-plane 3SP supplies pairing glue is an interpretive extension that invokes the authors' own bilayer paper [30] for method and language and that the paper itself labels as 'speculated' and 'out of the scope' of inter-cluster calculations. That self-citation is present but not load-bearing for the spectra themselves; the central numerical claim remains self-contained. Score 2 reflects only this minor, non-forcing self-reference.

Axiom & Free-Parameter Ledger

5 free parameters · 5 axioms · 2 invented entities

The load-bearing content is (i) standard multi-orbital ED with Racah multiplet interactions on a fixed small cluster, (ii) hoppings taken from DFT Wannier projections at two pressures, and (iii) an interpretive leap from isolated-cluster weights to mobile carriers and pairing. Free parameters are the interaction strengths and the tpd scaling used as a pressure proxy. No new particles or forces are invented; the '3SP' and ZRS language is imported from prior literature.

free parameters (5)
  • Racah A (Hubbard-like U) = 6.0 eV
    Set to A=6.0 eV by convention for Ni, not fitted to La4Ni3O10 data; controls d7/d8L energetics and thus configuration competition.
  • Racah B, C = B=0.15 eV, C=0.58 eV
    Atomic multiplet parameters B=0.15 eV, C=0.58 eV taken from prior Ni work; fix spin/orbital multiplet splittings inside d8.
  • U_OO = U_pp = 4.0 eV
    On-site oxygen Hubbard U estimated as 4.0 eV from Auger data on Cu2O scaled for Ni ionic size; not measured for this compound.
  • tpd scaling factor (0.9–1.1× DFT) = scan around DFT value
    Used as a continuous proxy for pressure while holding tpd/tdO fixed at the DFT ratio; the location of the configuration transition relative to the DFT star depends on this choice.
  • DFT-derived hoppings and on-site energies (Table I) = see Table I
    Extracted from GGA-PBE Wannier projections at 0 and 15.3 GPa; functional and projection choices fix the absolute energy scale of the ED.
axioms (5)
  • domain assumption Isolated Ni3O14 cluster with only Ni eg and σ-bonded O 2p orbitals captures the local low-energy physics of bulk La4Ni3O10.
    Stated in Sec. II.B; finite-size and missing long-range order effects are acknowledged but not quantified.
  • domain assumption Formal oxygen valence −2 and total of 8 holes on the cluster (average Ni +2.67) is the correct starting point.
    Sec. II.B; standard charge-transfer counting for RP nickelates.
  • ad hoc to paper Varying tpd at fixed tpd/tdO ratio is a reasonable surrogate for hydrostatic pressure.
    Used throughout Sec. III.A–B to locate the ambient/high-pressure transition; not derived from a full pressure-dependent structural series.
  • ad hoc to paper Neighboring-cluster cartoons (Figs. 3, 6, 8) built from isolated 7/8/9-hole ground states correctly indicate mobile in-plane 3SP quasiparticles and pairing glue.
    Sec. III and IV explicitly note that inter-cluster interactions are not computed.
  • domain assumption Standard multi-orbital ED with Racah multiplet Udd and on-site Upp/UOO is an adequate interaction model.
    Eq. (1)–(2); conventional for charge-transfer oxides.
invented entities (2)
  • Out-of-plane three-spin-polaron (3SP) hybridized with antibonding apical O pz in the ambient-pressure GS no independent evidence
    purpose: To describe the second extra hole and the weak interlayer exchange between outer-layer spins at ambient pressure.
    3SP language is imported from cuprate literature [35–37]; the specific out-of-plane realization on three dz2 orbitals plus antibonding apical O is a configuration identified in this calculation, not a new particle.
  • Pressure-driven in-plane 3SP-like quasiparticles as mobile carriers coupled by interlayer superexchange (pairing glue from interplane 3SP) no independent evidence
    purpose: To explain why SC appears only in the high-pressure phase.
    Interpretive construct built from isolated-cluster weights; no direct computation of quasiparticle dispersion or pairing susceptibility is given.

reviewed 2026-07-14 · how reviews work

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Cite this review

Pith. "Pith review of Pressure induced redistribution of oxygen hole states in La$_{4}$Ni$_{3}$O$_{10}$." pith.science (2026). https://pith.science/paper/P5FRGYNB

@misc{pith2026260313808,
  author       = {Pith},
  title        = {Pith review of: Pressure induced redistribution of oxygen hole states in La$_4$Ni$_3$O$_10$},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/P5FRGYNB}},
  note         = {Machine review of arXiv:2603.13808}
}
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read the original abstract

Using density functional calculations and multi-orbital, multi-atom cluster exact diagonalization that includes local exchange and Coulomb interactions, we explored the local low-energy electronic states of trilayer La$_4$Ni$_3$O$_{10}$ via a minimal Ni$_3$O$_{14}$ cluster. We find that, at ambient pressure, starting with all three Ni being nominally 2+ valence, one of the two extra holes is localized in the central NiO$_2$ layer forming a Zhang-Rice singlet (ZRS) with $d_{x^2-y^2}$ orbital. The other hole mainly occupies the antibonding combination of the two interplane apical O $p_z$ orbitals and thereby hybridizes with an out-of-plane three-spin-polaron (3SP) formed by the $d_{z^2}$ orbitals of three NiO$_2$ layers. At high pressure, however, the two extra holes are concentrated on one of two outer layers and the inner layer separately forming the ZRS with $d_{x^2-y^2}$ orbitals. We highlight the similarities between the bilayer La$_3$Ni$_2$O$_7$ and trilayer La$_4$Ni$_3$O$_{10}$ via speculated possible charge and spin configurations as well as the in-plane 3SP on two neighboring clusters suggested by our isolated cluster results.We thereby propose that the hole transfer from apical to in-plane oxygen orbitals of outer layer generates in-plane 3SP-like quasiparticles that act as mobile carriers coupled by interlayer superexchange; while the interplane 3SP-like states may provide the pairing glue. Since the low-pressure phase lacks freely propagating in-plane quasiparticles, this scenario naturally favors SC in the high-pressure phase.

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Works this paper leans on

41 extracted references · 2 linked inside Pith

  1. [1]

    H. Sun, M. Huo, X. Hu, J. Li, Z. Liu, Y. Han, L. Tang, Z. Mao, P. Yang, B. Wang, et al., Signatures of superconductivity near 80 K in a nickelate under high pressure, Nature621, 493 (2023)

    2023

  2. [2]

    Y. Zhu, D. Peng, E. Zhang, B. Pan, X. Chen, L. Chen, H. Ren, F. Liu, Y. Hao, N. Li,et al., Superconductivity in pressurized trilayer La 4Ni3O10−δ single crystals, Nature 631, 531 (2024)

    2024

  3. [3]

    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

  4. [4]

    Xu, C.-Q

    S. Xu, C.-Q. Chen, M. Huo, D. Hu, H. Wang, Q. Wu, R. Li, D. Wu, M. Wang, D.-X. Yao, et al., Origin of the density wave instability in trilayer nickelate La 4Ni3O10 revealed by optical and ultrafast spectroscopy, Physical Review B111, 075140 (2025)

    2025

  5. [5]

    M. Li, J. Gong, Y. Zhu, Z. Chen, J. Zhang, E. Zhang, Y. Li, R. Yin, S. Wang, J. Zhao, et al., Direct visualization of an incommensurate unidirectional charge density wave in La 4Ni3O10, Physical Review B112, 045132 (2025)

    2025

  6. [6]

    S. Xu, H. Wang, M. Huo, D. Hu, Q. Wu, L. Yue, D. Wu, M. Wang, T. Dong, and N. Wang, Collapse of density wave and emergence of superconductivity in pressurized- La4Ni3O10 evidenced by ultrafast spectroscopy, Nature Communications16, 7039 (2025)

    2025

  7. [7]

    M. Shi, Y. Li, Y. Wang, D. Peng, S. Yang, H. Li, K. Fan, K. Jiang, J. He, Q. Zeng, et al., Absence of superconductivity and density-wave transition in ambient-pressure tetragonal La 4Ni3O10, Nature Communications16, 2887 (2025)

    2025

  8. [8]

    Khasanov, T

    R. Khasanov, T. J. Hicken, I. Plokhikh, V. Sazgari, L. Keller, V. Pomjakushin, M. Bartkowiak, S. Kr´ olak, M. J. Winiarski, J. A. Krieger, et al., Identical suppression of spin and charge density wave transitions in La4Ni3O10 by pressure, arXiv preprint arXiv:2503.04400 (2025)

    arXiv 2025

  9. [9]

    Y. Cao, A. Liu, B. Wang, M. Zhang, Y. Qi, T. J. Hicken, H. Luetkens, Z. Fu, J. S. Gardner, J. Zhao,et al., Complex spin-density-wave ordering in La4Ni3O10, arXiv preprint arXiv:2503.14128 (2025)

    arXiv 2025

  10. [10]

    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

  11. [11]

    Zhang, H

    S. Zhang, H. Zhang, Z. Dong, J. Li, Q. Xiao, M. Huo, H.-Y. Huang, D.-J. Huang, Y. Wang, Y. Lu, et al., Distinct orbital contributions to electronic and magnetic structures in La 4Ni3O10, arXiv preprint arXiv:2509.20727 (2025)

    Pith/arXiv arXiv 2025

  12. [12]

    Z. Huo, P. Zhang, Z. Zhang, D. Duan, and T. Cui, Electronic correlations and hund’s rule coupling in trilayer nickelate La 4Ni3O10, Science China Physics, Mechanics & Astronomy68, 127411 (2025)

    2025

  13. [13]

    Tian, H.-T

    P.-F. Tian, H.-T. Ma, X. Ming, X.-J. Zheng, and H. Li, Effective model and electron correlations in trilayer nickelate superconductor La4Ni3O10, Journal of Physics: Condensed Matter36, 355602 (2024)

    2024

  14. [14]

    J.-X. Wang, Z. Ouyang, R.-Q. He, and Z.-Y. Lu, Non- fermi liquid and hund correlation in La 4Ni3O10 under high pressure, Physical Review B109, 165140 (2024)

    2024

  15. [15]

    Zhang, L.-F

    Y. Zhang, L.-F. Lin, A. Moreo, T. A. Maier, and E. Dagotto, Prediction ofs ±-wave superconductivity enhanced by electronic doping in trilayer nickelates La4Ni3O10 under pressure, Phys. Rev. Lett.133, 136001 (2024)

    2024

  16. [16]

    Zhang, H

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

    2024

  17. [17]

    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, Physical Review B109, L220506 (2024)

    2024

  18. [18]

    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

  19. [19]

    Hohenberg and W

    P. Hohenberg and W. Kohn, Inhomogeneous electron gas, Phys. Rev.136, B864 (1964)

    1964

  20. [20]

    Kohn and L

    W. Kohn and L. J. Sham, Self-consistent equations including exchange and correlation effects, Phys. Rev. 140, A1133 (1965)

    1965

  21. [21]

    Kresse and J

    G. Kresse and J. Furthm¨ uller, Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set, Comput. Mater. Sci.6, 15 (1996)

    1996

  22. [22]

    Kresse and J

    G. Kresse and J. Furthm¨ uller, Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set, Phys. Rev. B54, 11169 (1996)

    1996

  23. [23]

    Blaha, K

    P. Blaha, K. Schwarz, G. Madsen, D. Kvasnicka, and J. Luitz, Wien2k, an augmented plane wave+ local orbitals program for calculating crystal properties., WIEN2k,an augmented plane wave+ local orbitals program for calculating crystal properties (2001)

    2001

  24. [24]

    Schwarz, P

    K. Schwarz, P. Blaha, and G. K. Madsen, Electronic structure calculations of solids using the wien2k package for material sciences, Computer physics communications 147, 71 (2002). 11

    2002

  25. [25]

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

    1996

  26. [26]

    G. H. Wannier, The structure of electronic excitation levels in insulating crystals, Phys. Rev.52, 191 (1937)

    1937

  27. [27]

    Marzari, A

    N. Marzari, A. A. Mostofi, J. R. Yates, I. Souza, and D. Vanderbilt, Maximally localized wannier functions: Theory and applications, Rev. Mod. Phys.84, 1419 (2012)

    2012

  28. [28]

    A. A. Mostofi, J. R. Yates, Y.-S. Lee, I. Souza, D. Vanderbilt, and N. Marzari, wannier90: A tool for obtaining maximally-localised wannier functions, Computer Physics Communications178, 685 (2008)

    2008

  29. [29]

    Kuneˇ s, R

    J. Kuneˇ s, R. Arita, P. Wissgott, A. Toschi, H. Ikeda, and K. Held, Wien2wannier: From linearized augmented plane waves to maximally localized wannier functions, Computer Physics Communications181, 1888 (2010)

    2010

  30. [30]

    Jiang, C

    G. Jiang, C. Qin, K. Foyevtsova, L. Si, M. Berciu, G. A. Sawatzky, and M. Jiang, Intertwined charge and spin instability of La 3Ni2O7, Science China Physics, Mechanics & Astronomy68, 1 (2025)

    2025

  31. [31]

    Eskes, L

    H. Eskes, L. Tjeng, and G. Sawatzky, Cluster-model calculation of the electronic structure of CuO: A model material for the high-Tc superconductors, Physical Review B41, 288 (1990)

    1990

  32. [32]

    Sugano, SatoruSugano, Y

    S. Sugano, SatoruSugano, Y. Tanabe, and H. Kamimura, Multiplets of transition-metal ions in crystals (Elsevier, 2012)

    2012

  33. [33]

    Jiang, M

    M. Jiang, M. Berciu, and G. A. Sawatzky, Critical nature of the Ni spin state in doped NdNiO 2, Physical Review Letters124, 207004 (2020)

    2020

  34. [34]

    Ghijsen, L

    J. Ghijsen, L. H. Tjeng, J. van Elp, H. Eskes, J. Westerink, G. A. Sawatzky, and M. T. Czyzyk, Electronic structure of cu 2o and cuo, Phys. Rev. B38, 11322 (1988)

    1988

  35. [35]

    V. J. Emery and G. Reiter, Mechanism for high- temperature superconductivity, Phys. Rev. B38, 4547 (1988)

    1988

  36. [36]

    V. J. Emery and G. Reiter, Quasiparticles in the copper- oxygen planes of high-T c superconductors: An exact solution for a ferromagnetic background, Phys. Rev. B 38, 11938 (1988)

    1988

  37. [37]

    B. Lau, M. Berciu, and G. A. Sawatzky, High-spin polaron in lightly doped CuO 2 planes, Phys. Rev. Lett. 106, 036401 (2011)

    2011

  38. [38]

    Mizokawa, D

    T. Mizokawa, D. I. Khomskii, and G. A. Sawatzky, Spin and charge ordering in self-doped mott insulators, Phys. Rev. B61, 11263 (2000)

    2000

  39. [39]

    J. Yang, J. Zhan, T. Miao, M. Huo, Q. Xu, Y. Li, Y. Xie, B. Liang, N. Cai, H. Chen, W. Zhu, M. Xu, S. Zhang, F. Zhang, F. Yang, Z. Wang, Q. Peng, H. Mao, X. Li, Z. Zhu, G. Liu, Z. Xu, J. Hu, X. Wu, M. Wang, L. Zhao, and X. J. Zhou, Electronic origin of density wave orders in a trilayer nickelate (2026), arXiv:2601.22608 [cond- mat.supr-con]

    arXiv 2026

  40. [40]

    Zhang, D

    J. Zhang, D. Phelan, A. S. Botana, Y.-S. Chen, H. Zheng, M. Krogstad, S. G. Wang, Y. Qiu, J. A. Rodriguez- Rivera, R. Osborn, S. Rosenkranz, M. R. Norman, and J. F. Mitchell, Intertwined density waves in a metallic nickelate, Nature Communications11, 6003 (2020)

    2020

  41. [41]

    Z. Guan, S. F. TenHuisen, M. Tepie, Y. Zhao, E. Day- Roberts, H. LaBollita, A. M. Young, X. Cui, X. Chen, F. Glerean, et al., Electronic layer decoupling driven by density-wave order in la La 4Ni3O10, arXiv preprint arXiv:2601.08997 (2026)

    Pith/arXiv arXiv 2026

This paper was first reviewed by grok-4.5 on July 14, 2026.