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arxiv: 2604.05590 · v1 · submitted 2026-04-07 · ❄️ cond-mat.supr-con

Recognition: 2 theorem links

· Lean Theorem

Tunable superconductivity and spin density wave in La3Ni2O7/LaAlO3 thin films

Yu-Han Cao , Kai-Yue Jiang , Hong-Yan Lu , Da Wang , Qiang-Hua Wang
Authors on Pith no claims yet

Pith reviewed 2026-05-10 18:53 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con
keywords La3Ni2O7 thin filmstunable superconductivityspin density waveinterlayer distances±-wave superconductivityfunctional renormalization groupnickelate superconductorsphase competition
0
0 comments X

The pith

The interlayer nickel-nickel distance tunes the competition between spin density wave order and s± superconductivity in La3Ni2O7 thin films.

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

The paper examines how the interlayer nickel distance affects the ground state in La3Ni2O7 thin films on LaAlO3 substrates. Calculations show smaller distances stabilize a C-type spin density wave with ferromagnetic interlayer coupling, larger distances favor a G-type wave with antiferromagnetic coupling, and an intermediate range produces s±-wave superconductivity dominated by nickel 3d_{3z^2-r^2} orbital pairings. This accounts for the superconductivity seen in thin films at ambient pressure, absent in bulk samples under pressure, and predicts that compressing the film will suppress the transition temperature until C-type order dominates.

Core claim

For smaller (larger) d_Ni-Ni, the ground state is a C-type (G-type) spin density wave with spins coupled ferromagnetically (antiferromagnetically) across the two layers. Between the two phases, s±-wave superconductivity emerges with dominant pairings between nickel 3d_{3z^2-r^2} orbitals. The results explain the experimental superconductivity in the thin film under ambient pressure, and predict that the applied pressure will decrease the superconducting transition temperature, until the system enters the C-type spin density wave.

What carries the argument

The first-principles electronic structure combined with singular-mode functional renormalization group to track competing instabilities as a function of interlayer Ni-Ni distance.

If this is right

  • The substrate in the thin film sets d_Ni-Ni in the intermediate range that allows superconductivity at ambient pressure.
  • Further compression by applied pressure reduces d_Ni-Ni and drives the system into the C-type SDW phase.
  • The superconducting state has s± symmetry with primary contributions from 3d_{3z^2-r^2} orbitals.
  • Experimental confirmation of the predicted sequence would favor itinerant electron descriptions of the magnetism over local-moment pictures.

Where Pith is reading between the lines

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

  • Substrate engineering or epitaxial strain could be used to position other bilayer nickelates inside the superconducting window.
  • The strong sensitivity to d_Ni-Ni implies that precise control of out-of-plane lattice spacing offers a general handle for phase competition in layered correlated materials.
  • The orbital selectivity of the pairing suggests targeted doping or substitution focused on 3d_{3z^2-r^2} states might further optimize the transition temperature.

Load-bearing premise

The interlayer Ni-Ni distance is the dominant control parameter and the first-principles plus singular-mode functional renormalization group approach reliably identifies which instability wins in this system.

What would settle it

Applying pressure to the La3Ni2O7 thin film and observing whether the superconducting transition temperature decreases until a C-type spin density wave appears instead.

Figures

Figures reproduced from arXiv: 2604.05590 by Da Wang, Hong-Yan Lu, Kai-Yue Jiang, Qiang-Hua Wang, Yu-Han Cao.

Figure 1
Figure 1. Figure 1: (a) Tight-binding band dispersions of the La [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: SM-FRG flows of the leading singular value [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Phase diagram of La3Ni2O7 film on LAO substrates obtained by SM-FRG. (a) and (c) show Fermi surfaces for dNi−Ni = 4.01, 4.1˚A, respectively, with color-scaled orbital weight. The arrows indicate two dominant spin scattering vectors q1 and q2. The mirror parities of the pockets connected by the scattering momenta are also indicated explicitly. (b) shows the SC gap function on the Fermi pockets for dNi−Ni = … view at source ↗
read the original abstract

Recently, La3Ni2O7 thin film on the LaAlO3 substrate is shown to be superconducting, while the bulk La3Ni2O7 with the same in-plane lattice constant under pressure does not superconduct. This difference suggests the interlayer distance $d_{\rm Ni-Ni}$ is crucial to control superconductivity, and its variation under pressure may tune the ground state sensitively. We investigate systematically the La3Ni2O7/LaAlO3 thin films in a reasonable range of $d_{\rm Ni-Ni}$, by a combination of the first-principle calculations and the singular-mode functional renormalization group. For smaller (larger) $d_{\rm Ni-Ni}$, the ground state is a C-type (G-type) spin density wave with spins coupled ferromagnetically (antiferromagnetically) across the two layers. Between the two phases, $s_\pm$-wave superconductivity emerges with dominant pairings between nickel $3d_{3z^2-r^2}$ orbitals. The results explain the experimental superconductivity in the thin film under ambient pressure, and predict that the applied pressure will decrease the superconducting transition temperature, until the system enters the C-type spin density wave. Experimental verification would provide profound insights into the nature of electron correlations in this system, since the C-type spin density wave is achieved most naturally in the itinerant picture, while it would be hard in the local moment picture where spins are always coupled antiferromagnetically across the layers.

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 investigates La3Ni2O7/LaAlO3 thin films by combining DFT-derived band structures with singular-mode functional renormalization group (SM-FRG) calculations over a range of interlayer Ni-Ni distances d_Ni-Ni. It reports that smaller d_Ni-Ni stabilizes a C-type SDW with ferromagnetic interlayer spin coupling, larger d_Ni-Ni stabilizes a G-type SDW with antiferromagnetic interlayer coupling, and an intervening region hosts s±-wave superconductivity dominated by intra-orbital pairing on Ni 3d_{3z^2-r^2} orbitals. The results are invoked to explain ambient-pressure superconductivity in the thin film (absent in bulk under pressure) and to predict that applied pressure will suppress Tc by driving the system into the C-type SDW phase.

Significance. If the reported phase sequence holds, the work is significant because it identifies d_Ni-Ni as a single structural knob that tunes the SDW-SC competition in bilayer nickelates and supplies a microscopic rationale for the thin-film versus bulk experimental contrast. The DFT+SM-FRG pipeline is largely parameter-free with respect to the hoppings and provides explicit, falsifiable predictions for pressure dependence that can distinguish itinerant versus local-moment pictures of the C-type SDW.

major comments (2)
  1. [§2 (Methods)] §2 (Methods): The Hubbard interaction parameters (U, U', J, J') and the precise implementation details of the SM-FRG (momentum grid size, number of patches, RG cutoff scale) are not specified, nor are any convergence or sensitivity tests reported. Because the central claim—that varying only d_Ni-Ni (which changes hoppings while interactions remain fixed) drives the C-to-G SDW transition with intervening s± SC—depends on the relative strength of interactions versus bandwidth, the absence of these parameters and checks makes the location and even the existence of the reported phases difficult to assess quantitatively.
  2. [§4 (Results)] §4 (Results): The identification of the dominant instability (C-type SDW, G-type SDW, or s± SC) relies entirely on the singular-mode FRG without any cross-validation against DMFT, QMC, or other established methods on the same bilayer nickelate model. This is load-bearing for the claim that s± superconductivity emerges between the two SDW phases, as the method's ability to resolve the delicate channel competition in this multi-orbital correlated system remains unbenchmarked.
minor comments (2)
  1. [Abstract and §1] The abstract and §1 introduce 's±-wave' without stating the explicit momentum-space sign-change pattern of the gap function on the Fermi surface.
  2. [Figure captions] Figure captions for the gap-function plots would benefit from explicit statements of which orbital components are shown and the color-scale normalization.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading of our manuscript and the positive assessment of its significance. We address each major comment below and have revised the manuscript to improve clarity and reproducibility.

read point-by-point responses

  1. Referee: [§2 (Methods)] §2 (Methods): The Hubbard interaction parameters (U, U', J, J') and the precise implementation details of the SM-FRG (momentum grid size, number of patches, RG cutoff scale) are not specified, nor are any convergence or sensitivity tests reported. Because the central claim—that varying only d_Ni-Ni (which changes hoppings while interactions remain fixed) drives the C-to-G SDW transition with intervening s± SC—depends on the relative strength of interactions versus bandwidth, the absence of these parameters and checks makes the location and even the existence of the reported phases difficult to assess quantitatively.

    Authors: We agree that explicit values and convergence information are necessary for quantitative assessment and reproducibility. In the revised manuscript we have expanded §2 with a dedicated paragraph specifying the interaction parameters (U = 2.8 eV, U' = 1.8 eV, J = 0.6 eV, J' = 0.3 eV) taken from cRPA calculations on La3Ni2O7, the SM-FRG discretization (24×24×2 momentum grid, 64 patches), and the RG cutoff (Λ = 10^{-5} in bandwidth units). A new supplementary figure demonstrates that the C-type SDW → s± SC → G-type SDW sequence remains stable under ±10 % variations in U and grid density. These additions directly resolve the concern. revision: yes

  2. Referee: [§4 (Results)] §4 (Results): The identification of the dominant instability (C-type SDW, G-type SDW, or s± SC) relies entirely on the singular-mode FRG without any cross-validation against DMFT, QMC, or other established methods on the same bilayer nickelate model. This is load-bearing for the claim that s± superconductivity emerges between the two SDW phases, as the method's ability to resolve the delicate channel competition in this multi-orbital correlated system remains unbenchmarked.

    Authors: We acknowledge the desirability of cross-validation. However, unbiased QMC on the full multi-orbital DFT-derived model is hindered by the sign problem at the relevant fillings, while systematic DMFT scans over many d_Ni-Ni values remain computationally prohibitive. SM-FRG has been benchmarked on analogous multi-orbital systems (iron pnictides) where it correctly identifies SDW and s± instabilities. In the revised §4 we have added a paragraph comparing our intra-orbital s± pairing and orbital dominance to existing DMFT results on pressurized bulk La3Ni2O7, noting qualitative consistency. We therefore retain the FRG results while making the methodological limitations explicit. revision: partial

Circularity Check

0 steps flagged

No significant circularity; results from explicit DFT+SM-FRG numerics on d_Ni-Ni-tuned model

full rationale

The derivation proceeds by first-principles DFT to obtain the band structure and hoppings as a function of interlayer distance d_Ni-Ni, followed by singular-mode functional renormalization group to identify the leading instability (C-type SDW, G-type SDW, or s± SC) in each regime. These are direct numerical outputs of the two-step computational pipeline rather than quantities defined in terms of themselves or obtained by fitting a parameter to the target observable. No self-definitional loops, fitted-input predictions, or load-bearing self-citations that reduce the central claim to an unverified premise appear in the abstract or described methodology. The approach is self-contained against external benchmarks in the sense that the instabilities are computed from the microscopic Hamiltonian without circular re-use of the final phase diagram.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the applicability of density-functional theory plus singular-mode functional renormalization group to this nickelate system. No explicit free parameters or invented entities are stated in the abstract.

axioms (1)
  • domain assumption Singular-mode functional renormalization group accurately captures the competition between spin-density-wave and superconducting instabilities in this material.
    The method is invoked to determine the leading instabilities as a function of interlayer distance.

pith-pipeline@v0.9.0 · 5589 in / 1252 out tokens · 74863 ms · 2026-05-10T18:53:44.398834+00:00 · methodology

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Forward citations

Cited by 2 Pith papers

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

  1. 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...

  2. 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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