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arxiv: 2605.24565 · v2 · pith:NOQX6XN4new · submitted 2026-05-23 · ❄️ cond-mat.supr-con · cond-mat.mtrl-sci· cond-mat.str-el

Theoretical study of superconductivity in freestanding infinite-layer nickelate membranes under pressure: mitigation of excess correlation enhances T_c

Mahiru Seki , Reo Kono , Naotaka Tanaka , Kensei Ushio , Daiki Nakaoka , Masayuki Ochi , Kazuhiko Kuroki , Hirofumi Sakakibara This is my paper

Pith reviewed 2026-06-30 12:08 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con cond-mat.mtrl-scicond-mat.str-el
keywords infinite-layer nickelatessuperconductivityelectron correlationspressureFLEX approximationseven-orbital modelnickelate membranesphonon stability
0
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The pith

Pressure increases the superconducting transition temperature in infinite-layer nickelate membranes by mitigating excessively strong electron correlations.

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

The paper builds a seven-orbital effective model from first-principles calculations for freestanding Nd0.85Sr0.15NiO2 membranes. Solving this model with the fluctuation exchange approximation shows that it reproduces the monotonic increase in Tc with pressure seen in experiments. This rise occurs because pressure reduces the strong electron correlations that arise from the exceptionally low valence of the nickel atoms. The work also confirms the dynamical stability of the crystal structure under pressure using phonon calculations.

Core claim

The seven-orbital model, when treated in the FLEX approximation, accounts for the observed pressure-induced enhancement of superconductivity through the alleviation of strong electron correlations induced by the low Ni valence.

What carries the argument

Seven-orbital effective model from first-principles, solved in the fluctuation exchange (FLEX) approximation, which captures the pressure dependence of electron correlations and superconductivity.

If this is right

  • The superconducting Tc rises monotonically with applied pressure.
  • Electron correlations weaken as pressure increases due to changes in Ni valence effects.
  • The crystal structure of the membrane remains dynamically stable under the pressures studied.
  • No additional adjustable parameters are needed to match the experimental Tc trend.

Where Pith is reading between the lines

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

  • Similar correlation-mitigation mechanisms could be explored in other nickelate or cuprate systems under strain or pressure.
  • Experimental measurements of the effective mass or spectral function under pressure could test the correlation reduction.
  • The model might predict optimal pressures for maximizing Tc in related compounds.

Load-bearing premise

The first-principles derived seven-orbital model solved in the FLEX approximation quantitatively reproduces the pressure dependence of Tc.

What would settle it

A measurement showing that Tc does not increase monotonically with pressure in the freestanding membranes, or that the correlation strength does not decrease as predicted.

Figures

Figures reproduced from arXiv: 2605.24565 by Daiki Nakaoka, Hirofumi Sakakibara, Kazuhiko Kuroki, Kensei Ushio, Mahiru Seki, Masayuki Ochi, Naotaka Tanaka, Reo Kono.

Figure 1
Figure 1. Figure 1: FIG. 1. (a) Schematic diagram showing the gist of this study, [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Band structure with respect to the Fermi level ( [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5 [PITH_FULL_IMAGE:figures/full_fig_p004_5.png] view at source ↗
read the original abstract

We theoretically investigate a freestanding membrane of infinite-layer nickelate Nd$_{0.85}$Sr$_{0.15}$NiO$_2$ under pressure by constructing a seven-orbital effective model based on first-principles calculations. By performing the fluctuation exchange (FLEX) approximation, we demonstrate that the seven-orbital model explains a monotonic increase in $T_c$ reported in a recent experiment. This enhancement of superconductivity is attributed to the mitigation of excessively strong electron correlations caused by exceptionally low valence of Ni atom. Furthermore, we examine the dynamical stability of the crystal structure under pressure through phonon calculation.

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

2 major / 2 minor

Summary. The manuscript constructs a seven-orbital effective model for freestanding infinite-layer Nd_{0.85}Sr_{0.15}NiO_2 membranes under pressure from first-principles DFT calculations. Solving the model in the fluctuation-exchange (FLEX) approximation yields a monotonic increase in superconducting T_c with pressure that matches recent experiments; the enhancement is attributed to mitigation of strong electron correlations arising from the exceptionally low Ni valence. Phonon calculations are also performed to confirm dynamical stability of the structure.

Significance. If the reported FLEX results are shown to emerge without post-hoc tuning of interaction parameters to the experimental T_c(P) trend, the work would provide a useful microscopic account of pressure-enhanced superconductivity in infinite-layer nickelates, linking the effect directly to valence-controlled correlation strength. The first-principles downfolding step is a methodological strength that could be built upon in related systems.

major comments (2)
  1. [FLEX results] FLEX results (presumably §4 or equivalent): the central claim that the seven-orbital model 'explains' the experimental monotonic T_c increase requires explicit demonstration that the pressure-dependent hoppings and interaction matrix elements (U, J) are taken directly from the first-principles calculation at each pressure with no subsequent adjustment of any parameter to reproduce the observed T_c trend. Without this, the attribution to correlation mitigation from low Ni valence cannot be verified as independent of data selection.
  2. [Model construction] Model construction (§3 or equivalent, Hamiltonian definition): the downfolding procedure to the seven-orbital model must specify how the interaction matrix elements are computed and whether they remain fixed or vary with pressure in a manner that quantitatively reduces the effective correlation strength; the current presentation leaves open whether the T_c enhancement is a robust prediction or sensitive to the precise choice of interaction parameters relative to bandwidth.
minor comments (2)
  1. The abstract and introduction should state the pressure range explicitly and report the quantitative level of agreement (e.g., slope of T_c vs P) between FLEX and experiment rather than only the monotonic trend.
  2. Figure captions for the T_c(P) plots should include the experimental data points for direct visual comparison and note any error bars or uncertainties in the FLEX T_c values.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading of our manuscript and the constructive comments. We address the major points below and will revise the manuscript to improve clarity on the parameter determination and its pressure dependence.

read point-by-point responses

  1. Referee: [FLEX results] FLEX results (presumably §4 or equivalent): the central claim that the seven-orbital model 'explains' the experimental monotonic T_c increase requires explicit demonstration that the pressure-dependent hoppings and interaction matrix elements (U, J) are taken directly from the first-principles calculation at each pressure with no subsequent adjustment of any parameter to reproduce the observed T_c trend. Without this, the attribution to correlation mitigation from low Ni valence cannot be verified as independent of data selection.

    Authors: We agree that an explicit demonstration is required for the claim to be fully convincing. All hoppings and interaction matrix elements (U, J) in our calculations are obtained directly from the first-principles DFT calculations performed at each pressure, via Wannier downfolding for the hoppings and a first-principles method for the interactions, with no subsequent adjustment or fitting of any parameter to match the experimental T_c(P) trend. The monotonic rise in T_c emerges as a direct consequence of these pressure-dependent parameters. In the revised manuscript we will add an explicit statement and supporting data (e.g., a table of key parameters versus pressure) confirming the absence of post-hoc tuning. revision: yes

  2. Referee: [Model construction] Model construction (§3 or equivalent, Hamiltonian definition): the downfolding procedure to the seven-orbital model must specify how the interaction matrix elements are computed and whether they remain fixed or vary with pressure in a manner that quantitatively reduces the effective correlation strength; the current presentation leaves open whether the T_c enhancement is a robust prediction or sensitive to the precise choice of interaction parameters relative to bandwidth.

    Authors: We acknowledge that the presentation in the current version leaves this point insufficiently clear. The interaction matrix elements are computed from the DFT results at each pressure and therefore vary with pressure; this variation, together with the pressure-induced bandwidth increase, quantitatively reduces the effective correlation strength (U/W). In the revised manuscript we will expand the model-construction section to detail the procedure used to obtain the interaction parameters and will add a discussion (with supporting figures if appropriate) of their pressure dependence, thereby demonstrating that the T_c enhancement is a robust outcome of the first-principles parameters. revision: yes

Circularity Check

0 steps flagged

No significant circularity: first-principles model to FLEX solution is independent of the experimental Tc trend.

full rationale

The derivation proceeds by downfolding DFT to a seven-orbital Hamiltonian (pressure-dependent hoppings and interactions fixed by the first-principles step), then solving that Hamiltonian in the FLEX approximation. The resulting Tc(P) monotonic rise is presented as an explanation of the experimental trend, attributed to reduced Ni correlations from the fixed low valence. No quoted step shows a parameter fitted to Tc data and then relabeled as a prediction, no self-citation chain that supplies the central uniqueness or ansatz, and no self-definitional loop. The match to experiment functions as an external benchmark rather than an input that forces the output by construction. This is the normal, non-circular case for an ab-initio + diagrammatic calculation.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on a first-principles-derived seven-orbital model whose interaction parameters are not enumerated in the abstract; FLEX is an approximation whose validity for this regime is assumed. No explicit free parameters or invented entities are stated.

axioms (2)
  • domain assumption First-principles calculations yield a reliable seven-orbital effective Hamiltonian for the pressurized membrane.
    Invoked in the construction of the model from DFT-like calculations.
  • domain assumption FLEX approximation captures the superconducting instability and its pressure dependence in this correlated system.
    Central methodological choice stated in the abstract.

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discussion (0)

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