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arxiv: 2603.14519 · v3 · submitted 2026-03-15 · ❄️ cond-mat.supr-con

Recognition: 2 theorem links

· Lean Theorem

A Unified Understanding of the Experimental Controlling of the T_c of La₃Ni₂O₇

Zeyu Chen , Jia-Heng Ji , Yu-Bo Liu , Ming Zhang , Fan Yang
Authors on Pith no claims yet

Pith reviewed 2026-05-15 11:00 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con
keywords bilayer nickelatesLa3Ni2O7superconducting Tct-J modeldoping asymmetrypressure effectsJ_perp
0
0 comments X

The pith

A bilayer t-J model explains all observed ways to raise or lower Tc in La3Ni2O7 through J_perp and orbital filling.

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

The paper establishes that experiments varying oxygen content, chemical substitution, pressure, and strain all control the superconducting transition temperature in the bilayer nickelate La3Ni2O7 through the same underlying physics. An effective model focused on the d_x2-y2 orbital in a bilayer t-J framework, with parameters taken from first-principles calculations, reproduces the trends because the orbital sits near quarter filling. Hole doping pushes the system further into the overdoped regime and lowers Tc while electron doping does the reverse, producing particle-hole asymmetry. Tc tracks changes in the interlayer exchange interaction J_perp, which accounts for the pressure and strain effects. This single picture replaces separate explanations based on density of states or d_z2 orbital pairing.

Core claim

The superconducting Tc in La3Ni2O7 is controlled by the variation of the interlayer magnetic exchange J_perp and the filling level of the d_x2-y2 orbital within an effective bilayer t-J model. This produces a doping response analogous to overdoped cuprates: hole doping suppresses Tc while electron doping enhances it. The model accounts for the half-dome shape versus oxygen stoichiometry, the right-triangle Tc-pressure curve, the rise in Tc under compressive strain, and the suppression under Ca or Sr substitution, all without invoking density-of-states peaks or d_z2-dominated pairing.

What carries the argument

The effective d_x2-y2-orbital bilayer t-J_parallel-J_perp model with first-principles parameters, whose Tc follows J_perp at near-quarter filling.

If this is right

  • Hole doping through extra oxygen or La substitution by Ca/Sr lowers Tc by moving the system deeper into the overdoped regime.
  • Electron doping raises Tc by moving the system toward optimal filling.
  • Tc scales directly with the interlayer exchange J_perp, so pressure or strain that strengthens J_perp increases Tc.
  • The same model reproduces the half-dome Tc versus oxygen stoichiometry and the triangular Tc-pressure relation.
  • Weak-coupling or d_z2-orbital pictures are not needed to explain the data.

Where Pith is reading between the lines

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

  • Methods that introduce electron doping without disorder, such as higher-valence substitution, should be tested experimentally to raise Tc.
  • If the model holds, similar J_perp-driven tuning may apply to other bilayer nickelates under comparable controls.
  • The analogy to overdoped cuprates suggests checking whether the pairing symmetry and gap structure match those seen in cuprates at comparable fillings.

Load-bearing premise

The low-energy physics and pairing mechanism of La3Ni2O7 are captured by this bilayer t-J model with parameters taken from first-principles calculations.

What would settle it

Direct measurement of whether electron doping (via higher-valence substitution of La, without added disorder) raises Tc while hole doping lowers it would confirm or refute the predicted particle-hole asymmetry.

Figures

Figures reproduced from arXiv: 2603.14519 by Fan Yang, Jia-Heng Ji, Ming Zhang, Yu-Bo Liu, Zeyu Chen.

Figure 1
Figure 1. Figure 1: FIG. 1. Schematic diagrams and properties of the models. [PITH_FULL_IMAGE:figures/full_fig_p004_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Mechanism and results on doping in the nickelate [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Mechanism and results on Nd substitution in bulk. [PITH_FULL_IMAGE:figures/full_fig_p007_3.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Mechanism and results on strain-dependence in the [PITH_FULL_IMAGE:figures/full_fig_p009_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. The pairing eigenvalue [PITH_FULL_IMAGE:figures/full_fig_p010_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. (a) The DOS curves under variations in Nd [PITH_FULL_IMAGE:figures/full_fig_p011_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8. Results about [PITH_FULL_IMAGE:figures/full_fig_p012_8.png] view at source ↗
read the original abstract

Recently, a series of experiments have been conducted which control the superconducting T$_\text{c}$ of the bilayer nickelates La$_3$Ni$_2$O$_7$ through tuning the oxygen stoichiometry, the element substitution, the pressure or strain, catching great interests. Here, we provide a unified understanding toward these experiments based on the previously proposed effective $d_{x^2-y^2}$-orbital bilayer $t-J_\parallel-J_\perp$ model with model parameters input from first-principle calculations. This model exhibits a T$_\text{c}$-controlling behavior well analogous to the hole-doped overdoped cuprates, due to near quarter-filling of the $d_{x^2-y^2}$ orbital. For doping dependence, this mode exhibits a particle-hole asymmetry: The hole (electron) doping makes the system more (less) heavily overdoped and suppresses (enhances) T$_\text{c}$.This character well explains the experimental finding that hole doping introduced through increasing oxygen stoichiometry or alkaline-earth Ca$^{2+}$/Sr$^{2+}$ substitution of La suppresses T$_\text{c}$, and the ``half-dome'' behavior in the oxygen-stoichiometry controlling. For interaction dependence, T$_\text{c}$ follows the variation of $J_\perp$, which well explains the enhancement of bulk T$_\text{c}$ under pressure by Sm/Nd substitution of La, the ``right-triangle'' shaped bulk T$_\text{c}$-pressure relation and the enhancement of T$_\text{c}$ with compressive strain in the film. In comparison with weak-coupling theories in which T$_\text{c}$ mainly relies on the density of states and the $d_{z^2}$-orbital dominated pairing mechanism in which T$_\text{c}$ scales with $d_{z^2}$ hole density, our model provides a more natural and unified understanding toward experiments. We propose that electron doping implemented through approaches without inducing disorder, e.g. substitution of La by element with higher valence, can enhance T$_\text{c}$.

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 paper claims that the experimentally observed controls on the superconducting Tc of bilayer nickelate La3Ni2O7 (via oxygen stoichiometry, Ca/Sr substitution, pressure, strain, and Sm/Nd substitution) are unified by an effective d_x2-y2-orbital bilayer t-J∥-J⊥ model whose parameters are taken from prior first-principles calculations. The model exhibits particle-hole asymmetry near quarter filling, with hole doping suppressing Tc and electron doping enhancing it, while Tc tracks J⊥; this is argued to be analogous to overdoped cuprates and to provide a more natural account than weak-coupling DOS-based or d_z2-dominated scenarios. The authors propose electron doping (via higher-valence substitution) as a route to higher Tc.

Significance. If the imported t-J model is accepted as the correct low-energy theory, the work supplies a single, parameter-consistent framework that simultaneously rationalizes the half-dome in oxygen stoichiometry, the suppression by hole doping, the right-triangle Tc-pressure curve, and the strain enhancement, while making a concrete, testable prediction for electron doping. The explicit contrast with alternative mechanisms (weak-coupling DOS and d_z2 pairing) is useful for guiding future experiments.

major comments (3)
  1. The manuscript imports the d_x2-y2 bilayer t-J model and its DFT-derived parameters without re-deriving them from the full multi-orbital Hamiltonian or demonstrating that the model reproduces the absolute experimental Tc scale (rather than only trends) and the observed particle-hole asymmetry in quantitative detail. This is the load-bearing assumption; §2 (model definition) and the results sections should contain at least one direct comparison of computed Tc versus measured Tc under the cited experimental conditions.
  2. The claim that Tc follows J⊥ under pressure or strain (and the resulting right-triangle shape) is presented as a direct consequence of the model, but the manuscript does not show the explicit functional dependence or the numerical values of J⊥ extracted from the cited first-principles calculations under the relevant lattice changes. A plot or table of Tc(J⊥) at fixed filling would make the argument self-contained.
  3. The particle-hole asymmetry is asserted to explain the half-dome and the contrasting effects of oxygen stoichiometry versus alkaline-earth substitution, yet no explicit doping-dependent Tc curve or filling values (e.g., deviation from quarter filling) are provided in the text or figures. Without these, the analogy to overdoped cuprates remains qualitative.
minor comments (2)
  1. Notation: the symbols t-J∥-J⊥ and the orbital labels are introduced without a brief reminder of their definitions from the prior reference; a one-sentence recap in the introduction would aid readability.
  2. The proposal for electron doping via higher-valence substitution is stated without discussion of possible disorder or structural side-effects that could mask the predicted Tc increase; a short caveat would strengthen the suggestion.

Simulated Author's Rebuttal

3 responses · 1 unresolved

We thank the referee for the careful review and valuable suggestions. We address each of the major comments below and plan to revise the manuscript to address them where possible.

read point-by-point responses

  1. Referee: The manuscript imports the d_x2-y2 bilayer t-J model and its DFT-derived parameters without re-deriving them from the full multi-orbital Hamiltonian or demonstrating that the model reproduces the absolute experimental Tc scale (rather than only trends) and the observed particle-hole asymmetry in quantitative detail. This is the load-bearing assumption; §2 (model definition) and the results sections should contain at least one direct comparison of computed Tc versus measured Tc under the cited experimental conditions.

    Authors: The effective t-J model and its parameters are taken from our prior first-principles studies, which derive the low-energy model from the multi-orbital Hamiltonian; re-deriving this mapping here would be redundant and beyond the scope of the present work focused on unifying experimental controls. We acknowledge that the model primarily captures trends rather than absolute Tc values, as absolute scales can be affected by factors like inhomogeneity not included in the effective model. In the revision, we will add a table in the results section providing direct comparisons of the model's predicted Tc changes with experimental measurements for oxygen stoichiometry, pressure, and strain cases. We will also specify the quantitative particle-hole asymmetry by reporting the doping levels relative to quarter filling. revision: partial

  2. Referee: The claim that Tc follows J⊥ under pressure or strain (and the resulting right-triangle shape) is presented as a direct consequence of the model, but the manuscript does not show the explicit functional dependence or the numerical values of J⊥ extracted from the cited first-principles calculations under the relevant lattice changes. A plot or table of Tc(J⊥) at fixed filling would make the argument self-contained.

    Authors: We agree that making the J⊥ dependence explicit will strengthen the presentation. In the revised manuscript, we will include a new figure plotting Tc versus J⊥ at fixed filling, using the numerical J⊥ values extracted from the cited DFT calculations for the relevant pressure and strain conditions. This will directly demonstrate how Tc tracks J⊥ and reproduces the right-triangle shape. revision: yes

  3. Referee: The particle-hole asymmetry is asserted to explain the half-dome and the contrasting effects of oxygen stoichiometry versus alkaline-earth substitution, yet no explicit doping-dependent Tc curve or filling values (e.g., deviation from quarter filling) are provided in the text or figures. Without these, the analogy to overdoped cuprates remains qualitative.

    Authors: We will revise the manuscript to include the explicit Tc versus doping curve from our model calculations, along with the specific filling values (deviations from quarter filling) corresponding to the experimental doping levels via oxygen stoichiometry and Ca/Sr substitution. This will quantify the particle-hole asymmetry and make the analogy to overdoped cuprates more concrete. revision: yes

standing simulated objections not resolved
  • Re-deriving the effective model from the full multi-orbital Hamiltonian within this manuscript

Circularity Check

2 steps flagged

Tc scaling with J_perp and doping asymmetry reduce directly to inputs of the prior t-J model

specific steps
  1. fitted input called prediction [Abstract]
    "For interaction dependence, T_c follows the variation of J_⊥, which well explains the enhancement of bulk T_c under pressure by Sm/Nd substitution of La, the ``right-triangle'' shaped bulk T_c-pressure relation and the enhancement of T_c with compressive strain in the film."

    J_⊥ is an input parameter taken from first-principles calculations in the previously proposed model. Declaring that Tc follows J_perp is therefore a direct readout of the model's Hamiltonian rather than a new prediction tested against external data.

  2. self citation load bearing [Abstract]
    "we provide a unified understanding toward these experiments based on the previously proposed effective d_{x^2-y^2}-orbital bilayer t-J_∥-J_⊥ model with model parameters input from first-principle calculations. This model exhibits a T_c-controlling behavior well analogous to the hole-doped overdoped cuprates, due to near quarter-filling of the d_{x^2-y^2} orbital."

    The analogy to overdoped cuprates and the claimed Tc-controlling behavior rest entirely on the validity and parameter choices of the cited prior t-J model; no re-derivation or independent check of the filling or pairing mechanism is performed here.

full rationale

The paper's unified explanations for pressure, strain, and doping dependence of Tc are obtained by running the previously proposed bilayer t-J model (with DFT-fitted parameters) and observing that Tc tracks J_perp and the filling level. Because J_perp and the near-quarter-filling condition are imported as fixed inputs rather than derived or fitted to the new data, statements such as 'Tc follows the variation of J_perp' are tautological within the model's own definitions. The central claim therefore inherits its explanatory power from the prior model's assumptions without independent verification against absolute Tc values or particle-hole asymmetry in the present experiments.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The central claim rests on the validity of a prior effective t-J model and on first-principles parameters whose accuracy is not re-derived here.

free parameters (1)
  • t-J model parameters
    Taken directly from first-principles calculations as stated in the abstract
axioms (1)
  • domain assumption The effective d_x2-y2 bilayer t-J model captures the essential physics of La3Ni2O7
    Invoked as the basis for all explanations; no new derivation provided

pith-pipeline@v0.9.0 · 5710 in / 1335 out tokens · 42142 ms · 2026-05-15T11:00:01.638564+00:00 · methodology

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Forward citations

Cited by 3 Pith papers

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

  1. Interlayer hybridization enables superconductivity in bilayer nickelates

    cond-mat.supr-con 2026-04 unverdicted novelty 6.0

    Superconductivity in bilayer nickelates emerges only when coherent interlayer d_z2-p_z-d_z2 hybridization develops, suppressing static spin-density-wave order and damping spin excitations.

  2. Superconductivity in bilayer La$_3$Ni$_2$O$_7$: A review focusing on the strong-coupling Hund's rule assisted pairing mechanism

    cond-mat.supr-con 2026-04 unverdicted novelty 3.0

    Superconductivity in La3Ni2O7 arises from interlayer Cooper pairs of 3d_x2-y2 electrons driven by effective J_perp from Hund-assisted AFM exchange transfer, while localized 3d_z2 electrons form rung singlets that prod...

  3. Superconductivity in Ruddlesden-Popper nickelates: a review of recent progress, focusing on thin films

    cond-mat.supr-con 2026-04 unverdicted novelty 2.0

    The review covers experimental and theoretical progress on superconductivity in Ruddlesden-Popper nickelates, emphasizing ambient-pressure thin-film results in La3Ni2O7.

Reference graph

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