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arxiv: 2507.13694 · v1 · submitted 2025-07-18 · ❄️ cond-mat.supr-con · cond-mat.str-el

Strain-Engineered Electronic Structure and Superconductivity in La₃Ni₂O₇ Thin Films

Yu-Han Cao , Kai-Yue Jiang , Hong-Yan Lu , Da Wang , Qiang-Hua Wang This is my paper

Pith reviewed 2026-05-19 04:42 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con cond-mat.str-el
keywords La3Ni2O7nickelate thin filmsstrain engineeringsuperconductivitydensity of statess±-wave pairingfunctional renormalization groupRuddlesden-Popper nickelates
0
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The pith

In La3Ni2O7 thin films, in-plane compression raises the density of states at the Fermi level and enhances superconducting Tc.

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

The paper investigates how substrate-induced strain modifies the electronic structure of La3Ni2O7 thin films to control superconductivity. Density functional theory calculations show that reducing the in-plane lattice constant lowers the band energy at the M point, which increases the density of states at the Fermi level. This change differs from the bulk crystal under hydrostatic pressure. Functional renormalization group analysis then demonstrates that the s±-wave pairing stays stable while Tc rises with in-plane compression, out-of-plane expansion, or added electron doping. These predictions matter because the films already reach Tc above 40 K at ambient pressure, so the results point to concrete experimental levers for pushing transition temperatures higher.

Core claim

Based on DFT calculations, the authors construct a bilayer two-orbital tight-binding model for La3Ni2O7 films under a series of in-plane compressions that mimic substrate effects. The band energy at the M point drops with compression, raising the density of states at the Fermi level in contrast to bulk behavior under pressure. Functional renormalization group calculations show that s±-wave pairing symmetry remains robust, and Tc can be enhanced by reducing the in-plane lattice constant, increasing the out-of-plane lattice constant, or further electron doping.

What carries the argument

Bilayer two-orbital tight-binding model derived from DFT under in-plane compression, which tracks strain-induced shifts in band energies and density of states for input to functional renormalization group pairing calculations.

If this is right

  • The s±-wave pairing symmetry remains robust in the films, matching the bulk.
  • Tc increases when the in-plane lattice constant is reduced.
  • Tc increases when the out-of-plane lattice constant is increased.
  • Tc increases with further electron doping.
  • The superconductivity follows an itinerant picture driven by spin fluctuations.

Where Pith is reading between the lines

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

  • Substrate choice could be used to impose the in-plane compression that maximizes Tc in future film growth.
  • The same strain and doping levers may apply to related Ruddlesden-Popper nickelates.
  • Combining moderate strain with controlled doping offers a route to Tc values beyond current film records.
  • Thin-film geometry opens strain regimes unavailable in bulk crystals, allowing tests of the itinerant pairing mechanism.

Load-bearing premise

The two-orbital tight-binding model extracted from DFT for compressed structures accurately reproduces the strain-dependent band structure and density of states that determine the superconducting transition temperature.

What would settle it

Transport measurements on La3Ni2O7 films grown on substrates that impose different in-plane lattice constants would falsify the claim if Tc fails to rise or falls as the in-plane lattice constant is reduced.

Figures

Figures reproduced from arXiv: 2507.13694 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 structures with n = 1.25 (electron number per Ni atom) under different in-plane compression ratio ϵ corresponding to the LPNO films, by fixing the out-of-plane expansion ratio ϵc = 0.5ϵ. (b) is similar to (a) but for the LNO films by fixing ϵc = 0. (c) is similar to (a) but for the LNO bulk with n = 1.5 (converted from Ref. [111]). renormalization group (FRG) to study the electronic … view at source ↗
Figure 2
Figure 2. Figure 2: Fermi surfaces for the LPNO film under [PITH_FULL_IMAGE:figures/full_fig_p002_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: The onsite energy εz and hopping integrals t zz (00 1 2 ) and t zz (100) are plotted with respect to ϵ for the LPNO film (a), LNO film (b) and bulk LNO (c), respectively. tinct effect of the in-plane strain versus the hydrostatic pressure on the band structure. Since the in-plane lattice constant a is reduced for both films and bulk under pressure, the in-plane hopping am￾plitude between dx2−y2 -orbital is… view at source ↗
Figure 4
Figure 4. Figure 4: SM-FRG flows of S −1 versus Λ in the SC, SDW and CDW channels of LPNO film, respectively, at (ϵ, n) = (2%, 1.25), (3%, 1.25) and (2%, 1.5). The upper subset plots the gap function on the Fermi surfaces with the pink (blue) color indicating the positive (negative) sign and the size indicating the magnitude of the gap function. The lower subset presents the leading negative |S(q)| in the SDW channel. Both th… view at source ↗
Figure 6
Figure 6. Figure 6: Comparison of DFT (grey line) and Wannier (red line) band structure corresponding to the LPNO (a-e) and LNO [PITH_FULL_IMAGE:figures/full_fig_p006_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: Schematic diagram for all parameters of the tight-binding model. [PITH_FULL_IMAGE:figures/full_fig_p007_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: SM-FRG flows of S −1 versus Λ in the SC, SDW and CDW channels of LNO film, respectively, at (ϵ, n) = (2%, 1.25), (5%, 1.25) and (2%, 1.5). The upper subset plots the gap function on the Fermi surfaces with the pink (blue) color indicating the positive (negative) sign and the size indicating the magnitude of the gap function. The lower subset presents the leading negative |S(q)| in the SDW channel. Both the… view at source ↗
Figure 9
Figure 9. Figure 9: The real space superconducting pairing components up to translation and [PITH_FULL_IMAGE:figures/full_fig_p011_9.png] view at source ↗
read the original abstract

Recently, the films of the Ruddlesden-Popper (RP) nickelate superconductors, in which the (La,Pr)$_3$Ni$_2$O$_7$ system exhibits a remarkable transition temperature $T_c$ exceeding 40 K, were synthesized at ambient pressure. We systematically investigate the band structures and electronic correlation effect to identify the key factors controlling superconductivity and pathways to enhance $T_c$. Based on density functional theory (DFT) calculations, we construct a bilayer two-orbital ($3d_{3z^2-r^2}$ and $3d_{x^2-y^2}$) tight-binding model for a series of in-plane compression mimicking the substrate effect. We find the band energy at the $M$ point drops with the compression, leading to increase of the density of states at the Fermi level, in stark contrast to the behavior of the bulk under pressure. We then apply functional renormalization group (FRG) method to study the electronic correlation effect on the superconductivity. We find the $s_\pm$-wave pairing symmetry remains robust in the films, the same as the bulk. But somewhat surprisingly, for the films, we find $T_c$ can be enhanced by reducing the in-plane lattice constant, increasing the out-of-plane lattice constant, or further electron-doping. These findings are consistent with the itinerant picture of the superconductivity induced by spin-fluctuations and provide theoretical support for further boosting $T_c$ in future experiments.

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 / 1 minor

Summary. The manuscript investigates strain-engineered superconductivity in La₃Ni₂O₇ thin films. Using DFT calculations, the authors construct a bilayer two-orbital (d_{3z²-r²} and d_{x²-y²}) tight-binding model for a series of in-plane lattice compressions that mimic substrate effects. They report that the band energy at the M point drops under compression, increasing the DOS at E_F in contrast to bulk behavior. Functional renormalization group (FRG) calculations are then applied, finding that s±-wave pairing symmetry remains robust while Tc can be enhanced by reducing the in-plane lattice constant, increasing the out-of-plane lattice constant, or further electron doping.

Significance. If the central trends hold, the work supplies concrete theoretical guidance for optimizing Tc in ambient-pressure nickelate films via strain and doping, consistent with a spin-fluctuation-mediated itinerant mechanism. It highlights differences between film and bulk responses and could inform substrate and doping choices in future experiments.

major comments (2)
  1. [DFT and tight-binding model construction] The bilayer two-orbital TB model is constructed from DFT only for the in-plane compression series. The claim that increasing the out-of-plane lattice constant enhances Tc therefore requires an explicit description of how the z-directed hoppings and bilayer splitting are adjusted under c-axis expansion; without this, the reported trend in band energies at M and the resulting FRG pairing scale cannot be verified.
  2. [FRG analysis of superconductivity] No quantitative Tc values, error estimates, or numerical details on the FRG flow (cutoff procedure, discretization, or convergence criteria) are provided. This leaves the magnitude and robustness of the claimed Tc enhancements under strain and doping unquantified, which is load-bearing for the central prediction.
minor comments (1)
  1. [Abstract] The abstract states that the model is built for in-plane compression but then asserts independent c-axis variation; a brief clarifying sentence on the hopping adjustment procedure would improve readability.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful and constructive review of our manuscript. We address each of the major comments below and outline the revisions we will make to strengthen the presentation of our results.

read point-by-point responses

  1. Referee: [DFT and tight-binding model construction] The bilayer two-orbital TB model is constructed from DFT only for the in-plane compression series. The claim that increasing the out-of-plane lattice constant enhances Tc therefore requires an explicit description of how the z-directed hoppings and bilayer splitting are adjusted under c-axis expansion; without this, the reported trend in band energies at M and the resulting FRG pairing scale cannot be verified.

    Authors: We thank the referee for pointing this out. While the primary DFT calculations focused on the in-plane lattice compression to mimic substrate effects, the effects of out-of-plane expansion were modeled by appropriately scaling the interlayer (z-directed) hopping integrals and modifying the bilayer splitting based on the increased c lattice constant. To make this procedure fully transparent and verifiable, we will add a detailed description in the revised manuscript, including the specific scaling relations used for the hoppings and the resulting changes in the band structure at the M point, as well as the updated FRG pairing scales. revision: yes

  2. Referee: [FRG analysis of superconductivity] No quantitative Tc values, error estimates, or numerical details on the FRG flow (cutoff procedure, discretization, or convergence criteria) are provided. This leaves the magnitude and robustness of the claimed Tc enhancements under strain and doping unquantified, which is load-bearing for the central prediction.

    Authors: We agree that more quantitative information on the FRG calculations would be beneficial. In the revised manuscript, we will include numerical details such as the momentum space discretization (using a 32×32 grid), the initial renormalization scale, the integration scheme for the flow equations, and the convergence criterion (stopping when the maximum pairing eigenvalue exceeds a threshold or the scale reaches a minimum value). Although FRG provides a critical scale rather than an absolute Tc, we will quantify the relative enhancements under different strain and doping conditions and provide estimates of uncertainty by examining the sensitivity to the interaction strength U. revision: yes

Circularity Check

0 steps flagged

No circularity: standard DFT-derived TB model fed into FRG yields independent Tc trends

full rationale

The derivation proceeds from DFT band structures under in-plane compression to a two-orbital TB Hamiltonian, then to FRG computation of pairing scale and symmetry. The reported Tc enhancement with reduced a, increased c, or electron doping is an output of the FRG flow on the strain-dependent DOS and Fermi-surface features; it is not equivalent to the DFT inputs by construction, nor is any parameter fitted directly to Tc. No self-citation is invoked as a uniqueness theorem or load-bearing premise, and the workflow contains no renaming of known results or ansatz smuggling. The central claims remain falsifiable against future experiments or more advanced calculations outside the present fitted values.

Axiom & Free-Parameter Ledger

1 free parameters · 2 axioms · 0 invented entities

The central claim depends on the accuracy of DFT-derived bands under strain and the applicability of FRG to capture spin-fluctuation-mediated pairing; no new particles or forces are introduced.

free parameters (1)
  • tight-binding hopping and interaction parameters
    Extracted from DFT calculations for each strained lattice constant; these values are not independently measured.
axioms (2)
  • domain assumption DFT band structures under epitaxial strain faithfully represent the low-energy electronic states of the real material
    Invoked when constructing the bilayer two-orbital model from DFT results.
  • domain assumption Functional renormalization group flow correctly identifies the leading superconducting instability driven by spin fluctuations
    Used to conclude that s± pairing remains robust and that Tc can be enhanced.

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Forward citations

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Reference graph

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