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arxiv: 2407.21461 · v3 · submitted 2024-07-31 · ❄️ cond-mat.supr-con · cond-mat.str-el

Theoretical study on the possibility of high T_c spm-wave superconductivity in the heavily hole-doped infinite layer nickelates

Hirofumi Sakakibara , Ryota Mizuno , Masayuki Ochi , Hidetomo Usui , Kazuhiko Kuroki This is my paper

Pith reviewed 2026-05-23 22:35 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con cond-mat.str-el
keywords infinite layer nickelatess±-wave superconductivityhole dopingLa1-xSrxNiO2dx2-y2 bandhigh Tcthin filmsapical oxygen
0
0 comments X

The pith

Heavily hole-doped infinite-layer nickelates can realize high-Tc s±-wave superconductivity when tetragonal symmetry is preserved.

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

The paper proposes that Sr-doped LaNiO2 thin films can maintain the original P4/mmm symmetry on tetragonal substrates, enabling high-Tc superconductivity with s±-wave symmetry at doping levels near d8 electron count. In this regime the dx2-y2 band interacts with other 3d bands lying just below the Fermi level, producing a gap that changes sign between those bands. The enhancement is tied to the large orbital energy offset that arises because apical oxygen atoms are absent in the infinite-layer structure. A sympathetic reader would care because the mechanism suggests a concrete way to raise the critical temperature in nickelates by controlling doping while keeping the lattice intact.

Core claim

For electron configurations somewhat close to d8, the interaction between the dx2-y2 band and the other 3d bands that lie just below the Fermi level results in an enhancement of superconductivity where the sign of the gap function is reversed between the former and the latter bands. The strong enhancement of superconductivity can be attributed to the large energy level offset between dx2-y2 and other orbitals due to the absence of the apical oxygens.

What carries the argument

The s±-wave pairing interaction between the dx2-y2 band and lower 3d bands, strengthened by their large energy separation from the missing apical oxygens.

If this is right

  • Superconductivity strengthens when the filling approaches d8.
  • The missing apical oxygens create the orbital offset that drives the enhancement.
  • s± symmetry with interband sign reversal is the favored pairing channel under these conditions.
  • Preserving tetragonal symmetry through substrate choice is required to access the effect.

Where Pith is reading between the lines

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

  • Growth of such tetragonal thin films could be used to test whether Tc rises near the predicted doping.
  • The orbital-offset mechanism might be explored in other layered compounds that lack apical atoms.
  • Confirmation would link the nickelate behavior more directly to interband scattering scenarios in related materials.

Load-bearing premise

Thin films grown on tetragonal substrates can preserve the P4/mmm symmetry of LaNiO2 even after substantial Sr substitution.

What would settle it

Structural measurements or phonon calculations that show symmetry lowering or instability in heavily Sr-doped LaNiO2 thin films would remove the condition required for the proposed high-Tc state.

Figures

Figures reproduced from arXiv: 2407.21461 by Hidetomo Usui, Hirofumi Sakakibara, Kazuhiko Kuroki, Masayuki Ochi, Ryota Mizuno.

Figure 1
Figure 1. Figure 1: FIG. 1. (a) An image of the system considered in the present [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. (a)–(d) the number of electrons per site per spin [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. The eigenvalue of the Eliashberg equation plotted [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. The gap function (eigenfunction of the Eliashberg [PITH_FULL_IMAGE:figures/full_fig_p004_4.png] view at source ↗
read the original abstract

We theoretically propose a possibility of realizing high $T_c$ superconductivity having $s\pm$-wave symmetry in the heavily hole-doped infinite layer nickelates La$_{1-x}$Sr$_x$NiO$_2$. We consider situations where the original $P4/mmm$ symmetry of LaNiO$_2$ is maintained even for a significant amount of Sr substitution by growing thin films on substrates having tetragonal symmetry. Considering such cases is indeed justified by our phonon calculations. For electron configurations somewhat close to $d^8$, the interaction between the $d_{x^2-y^2}$ band and the other $3d$ bands that lie just below the Fermi level results in an enhancement of superconductivity where the sign of the gap function is reversed between the former and the latter bands. The strong enhancement of superconductivity can be attributed to the large energy level offset between $d_{x^2-y^2}$ and other orbitals due to the absence of the apical oxygens, as has been pointed out in previous studies.

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

1 major / 0 minor

Summary. The paper theoretically proposes a possibility of realizing high Tc superconductivity with s±-wave symmetry in heavily hole-doped infinite layer nickelates La_{1-x}Sr_xNiO_2. It considers cases where P4/mmm symmetry is maintained for significant Sr substitution via thin films on tetragonal substrates, justified by phonon calculations. For electron configurations near d^8, interaction between the d_{x^2-y^2} band and other 3d bands below the Fermi level enhances superconductivity with sign-reversed gap function between them, attributed to large energy level offset due to absence of apical oxygens.

Significance. If the underlying calculations are robust, this would represent a significant theoretical contribution to nickelate superconductivity by identifying a mechanism for enhanced s± pairing via orbital energy offsets from absent apical oxygens, potentially informing material design in doped infinite-layer systems.

major comments (1)
  1. [Abstract] Abstract: The abstract states the proposal and attributes enhancement to orbital offsets but supplies no equations, numerical results, error estimates, or details on the phonon or superconductivity calculations; the central claim rests on unspecified computations that cannot be evaluated.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their review. We address the single major comment below.

read point-by-point responses

  1. Referee: [Abstract] Abstract: The abstract states the proposal and attributes enhancement to orbital offsets but supplies no equations, numerical results, error estimates, or details on the phonon or superconductivity calculations; the central claim rests on unspecified computations that cannot be evaluated.

    Authors: Abstracts are intentionally concise and do not contain equations, numerical values, or methodological details; these are provided in the main text. The phonon calculations that justify maintenance of P4/mmm symmetry under Sr substitution, as well as the superconductivity calculations (including the relevant equations, interaction terms, and numerical results for the s± gap), are presented in full in the body of the manuscript, enabling evaluation of the central claims. revision: no

Circularity Check

0 steps flagged

No significant circularity detected

full rationale

Only the abstract is available, which presents a theoretical proposal for s±-wave superconductivity enhancement near d8 configurations due to band interactions and energy offsets from absent apical oxygens. No equations, derivations, fitted parameters, or self-citations are shown that reduce any claim to its inputs by construction. The mention of 'previous studies' is not load-bearing or identifiable as self-citation within the given text, and the phonon justification for symmetry is stated without further detail. The derivation chain cannot be walked, so no circular steps are present.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only review supplies no information on computational details, model Hamiltonians, or fitting procedures; free parameters, axioms, and invented entities cannot be identified.

pith-pipeline@v0.9.0 · 5718 in / 1205 out tokens · 28735 ms · 2026-05-23T22:35:36.011473+00:00 · methodology

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Reference graph

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