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arxiv: 2605.19297 · v1 · pith:CGZOU7HZnew · submitted 2026-05-19 · ❄️ cond-mat.supr-con · cond-mat.mtrl-sci· cond-mat.str-el

Nearly perfect Fermi surface nesting in hole-doped La₃Ni₂O₇ enables bulk superconductivity without pressure or strain

Chengliang Xia , Jiale Chen , Hongquan Liu , Hanghui Chen This is my paper

Pith reviewed 2026-05-20 02:56 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con cond-mat.mtrl-scicond-mat.str-el
keywords nickelatessuperconductivityFermi surface nestinghole dopingLa3Ni2O7spin fluctuationsambient pressure
0
0 comments X

The pith

Hole doping near x=0.4 shapes the gamma pocket in La3Ni2O7 into a diamond that nests almost perfectly with Q=(π,π), driving spin fluctuations strong enough for bulk superconductivity at ambient pressure.

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

The authors combine density-functional theory, dynamical mean-field theory, and random-phase approximation to study hole-doped bulk La_{3-x}Sr_xNi_2O_7 at ambient pressure. They show that strontium substitution adds holes that create and enlarge a nickel d_{3z^2-r^2} gamma pocket on the Fermi surface. As doping approaches x=0.4 this pocket stretches from circular to diamond-shaped and covers half the Brillouin zone, producing near-perfect nesting at the wavevector Q=(π,π). The improved nesting strongly amplifies antiferromagnetic spin fluctuations, which in turn raise the leading superconducting eigenvalue to a value where superconductivity should appear without external pressure or strain.

Core claim

Hole doping induces a Ni-d_{3z^2-r^2}-derived γ pocket on the Fermi surface, and serves as a tuning parameter for both its size and shape. As x approaches 0.4, the γ pocket evolves from circular to diamond-shaped and expands to span half of the Brillouin zone, resulting in nearly perfect Fermi surface nesting with the optimal nesting vector Q=(π,π). This strongly enhances antiferromagnetic spin fluctuations and substantially increases the leading superconducting eigenvalue to a level at which superconductivity becomes experimentally observable.

What carries the argument

The γ pocket whose size and diamond-like shape are tuned by hole doping to produce nearly perfect nesting at Q=(π,π)

If this is right

  • Bulk superconductivity in La3Ni2O7 becomes possible at ambient pressure near 40 percent hole doping.
  • The optimal nesting vector Q=(π,π) selects antiferromagnetic spin fluctuations as the dominant pairing glue.
  • The superconducting critical temperature should rise sharply once the gamma pocket reaches its diamond shape at x=0.4.
  • Specific-heat and superfluid-density measurements on bulk samples become feasible without pressure cells.

Where Pith is reading between the lines

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

  • The same doping route may produce ambient-pressure superconductivity in other Ruddlesden-Popper nickelates with similar bilayer structures.
  • Thin-film studies could test whether the predicted diamond shape survives interface effects and still yields superconductivity.
  • Direct measurement of the spin susceptibility peak at Q=(π,π) by neutron scattering would provide an independent check on the nesting strength.

Load-bearing premise

The random-phase approximation applied to dynamical-mean-field-theory Green's functions accurately captures the leading superconducting instability without vertex corrections or higher-order diagrams.

What would settle it

Growing bulk La_{3-x}Sr_xNi_2O_7 crystals at x near 0.4 and finding no superconductivity or a critical temperature far below the calculated eigenvalue at ambient pressure and zero strain would falsify the nesting-driven mechanism.

Figures

Figures reproduced from arXiv: 2605.19297 by Chengliang Xia, Hanghui Chen, Hongquan Liu, Jiale Chen.

Figure 1
Figure 1. Figure 1: (a) shows the crystal structure of La3−xSrxNi2O7 under ambient pressure. It crystallizes in the orthorhombic Amam structure (space group No. 63), characterized by strong oxygen octahedral rotations [46, 47]. The structural distortions result in an in-plane √ 2 × √ 2 expansion of the unit cell. Throughout the calculations, we focus on the folded Brillouin zone corresponding to the Amam unit cell. In panels … view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. (a)-(b) DMFT-calculated spectral function based on the bilayer two-orbital model for [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. (a) The leading superconducting eigenvalue for La [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. The “dressed” orbital-resolved spin susceptibility [PITH_FULL_IMAGE:figures/full_fig_p008_4.png] view at source ↗
read the original abstract

The discovery of high-temperature superconductivity in Ruddlesden-Popper nickelates has drawn great attention. However, unlike cuprates and iron-based superconductors, Ruddlesden-Popper nickelates exhibit superconductivity either under high pressure in bulk samples or under compressive strain in thin films. Genuine bulk superconductivity under ambient pressure has remained elusive in these materials, precluding key measurements such as specific heat and superfluid density. In this work, we combine density-functional-theory, dynamical-mean-field-theory, and random-phase-approximation to solve the superconducting gap equation for bulk hole-doped bilayer nickelate La$_{3-x}$Sr$_x$Ni$_2$O$_7$ at ambient pressure. We find that hole doping induces a Ni-$d_{3z^2-r^2}$-derived $\gamma$ pocket on the Fermi surface, and serves as a tuning parameter for both its size and \textit{shape}. As $x$ approaches 0.4, the $\gamma$ pocket evolves from circular to diamond-shaped and expands to span half of the Brillouin zone, resulting in nearly perfect Fermi surface nesting with the optimal nesting vector $\textbf{Q} = (\pi, \pi)$. This, in turn, strongly enhances antiferromagnetic spin fluctuations and substantially increases the leading superconducting eigenvalue to a level at which superconductivity becomes experimentally observable. Our work provides both a robust mechanism and an experimentally feasible route to inducing the long-sought bulk superconductivity in La$_3$Ni$_2$O$_7$ without pressure or strain.

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 combines DFT, DMFT, and RPA to solve the superconducting gap equation for bulk hole-doped La_{3-x}Sr_x Ni_2 O_7 at ambient pressure. It claims that as x approaches 0.4 the Ni-d_{3z^2-r^2}-derived γ pocket evolves from circular to diamond-shaped, expands to span half the Brillouin zone, produces nearly perfect Fermi-surface nesting with Q = (π, π), strongly enhances antiferromagnetic spin fluctuations, and raises the leading superconducting eigenvalue to a value at which bulk superconductivity becomes experimentally observable without pressure or strain.

Significance. If the central computational result holds, the work supplies both a concrete doping route and a mechanistic explanation for achieving the long-sought ambient-pressure bulk superconductivity in bilayer nickelates. This would be significant because it removes the experimental barrier posed by high-pressure or strained samples and opens the door to thermodynamic and superfluid-density measurements that have so far been inaccessible.

major comments (2)
  1. [section describing the RPA gap-equation solution (following the DMFT self-energy calculation)] The central claim that the leading eigenvalue reaches an experimentally observable magnitude rests on the RPA spin susceptibility constructed from the DMFT Green's function (the step that feeds χ(q,ω) into the linearized gap equation). In the strong-correlation regime relevant to these nickelates, omission of vertex corrections to both the susceptibility and the pairing kernel is known to overestimate pairing strength in related cuprate and iron-based calculations; the manuscript provides no sensitivity test or discussion of this approximation, which directly affects whether the reported eigenvalue is large enough to support the claim of observable bulk Tc.
  2. [results section on Fermi-surface evolution and nesting (near the discussion of x ≈ 0.4)] The doping value x = 0.4 is identified after scanning to optimize the nesting vector and eigenvalue. While the evolution of the γ-pocket shape with doping is clearly shown, the absence of an independent experimental anchor (e.g., ARPES Fermi-surface data at that doping) or a parameter-free derivation means the quantitative link from nesting to observable superconductivity carries a circularity burden that should be addressed before the prediction can be considered robust.
minor comments (2)
  1. [abstract] The abstract states that the eigenvalue increases 'to a level at which superconductivity becomes experimentally observable' but does not quote the numerical value of the leading eigenvalue or the corresponding estimated Tc; adding this number would make the claim more precise.
  2. [figure captions] Figure captions and axis labels should explicitly indicate the Brillouin-zone path and the doping values used for each panel to improve readability.

Simulated Author's Rebuttal

2 responses · 1 unresolved

We thank the referee for the careful and constructive review of our manuscript. We address each major comment below and indicate the revisions we will make.

read point-by-point responses

  1. Referee: The central claim that the leading eigenvalue reaches an experimentally observable magnitude rests on the RPA spin susceptibility constructed from the DMFT Green's function (the step that feeds χ(q,ω) into the linearized gap equation). In the strong-correlation regime relevant to these nickelates, omission of vertex corrections to both the susceptibility and the pairing kernel is known to overestimate pairing strength in related cuprate and iron-based calculations; the manuscript provides no sensitivity test or discussion of this approximation, which directly affects whether the reported eigenvalue is large enough to support the claim of observable bulk Tc.

    Authors: We agree that the RPA approximation, by neglecting vertex corrections, can overestimate the absolute magnitude of the pairing eigenvalue in strongly correlated regimes, as documented in cuprate and iron-pnictide literature. The central physical mechanism in our work—the doping-induced improvement in Fermi-surface nesting of the γ pocket and the consequent sharp rise in the antiferromagnetic spin susceptibility at Q = (π, π)—is already encoded in the DMFT-renormalized single-particle Green's function. While a quantitative correction for vertex effects lies outside the present scope, we will add a dedicated paragraph in the revised manuscript discussing the known limitations of RPA for the absolute eigenvalue and emphasizing that the pronounced relative enhancement near x ≈ 0.4 is driven by the nesting condition itself. A limited sensitivity check varying U and J within physically reasonable windows confirms that the eigenvalue remains well above the threshold for observable Tc. revision: partial

  2. Referee: The doping value x = 0.4 is identified after scanning to optimize the nesting vector and eigenvalue. While the evolution of the γ-pocket shape with doping is clearly shown, the absence of an independent experimental anchor (e.g., ARPES Fermi-surface data at that doping) or a parameter-free derivation means the quantitative link from nesting to observable superconductivity carries a circularity burden that should be addressed before the prediction can be considered robust.

    Authors: The doping x ≈ 0.4 is not chosen arbitrarily; it is the value at which our systematic DFT+DMFT scan shows the γ pocket becoming diamond-shaped, spanning half the Brillouin zone, and producing optimal nesting with Q = (π, π). This constitutes a parameter-free prediction within the chosen methodological framework. We fully acknowledge that direct ARPES confirmation at this doping in bulk samples is currently unavailable. In the revised manuscript we will explicitly state that x ≈ 0.4 is the theoretically predicted optimal doping for ambient-pressure superconductivity and will stress the necessity of future ARPES or quantum-oscillation experiments to test the Fermi-surface topology and thereby validate the nesting mechanism. revision: yes

standing simulated objections not resolved
  • Quantitative evaluation of the effect of vertex corrections on the absolute value of the superconducting eigenvalue, which would require diagrammatic extensions beyond RPA.

Circularity Check

0 steps flagged

Doping scan identifies optimal nesting; central eigenvalue follows from standard RPA-DMFT calculation without definitional reduction

full rationale

The derivation computes the Fermi surface and γ-pocket evolution directly from DFT+DMFT for a range of hole dopings x, then feeds the resulting Green's function into the RPA bubble for χ(q,ω) and solves the linearized gap equation. The statement that x≈0.4 yields near-perfect nesting with Q=(π,π) and a large leading eigenvalue is an output of this sequence rather than an input redefined as a prediction. No self-definitional loop, no parameter fitted to a subset and then relabeled, and no load-bearing self-citation or ansatz smuggling is evident in the provided text. The work remains self-contained against its own computational benchmarks.

Axiom & Free-Parameter Ledger

1 free parameters · 2 axioms · 0 invented entities

The calculation relies on standard approximations in electronic-structure theory whose validity for this correlated system is not independently verified within the abstract.

free parameters (1)
  • doping level x
    x is scanned and tuned to the value 0.4 that maximizes nesting; this choice directly controls the reported eigenvalue increase.
axioms (2)
  • domain assumption RPA spin susceptibility derived from DMFT Green's function accurately determines the superconducting pairing kernel
    Invoked when solving the gap equation; no higher-order vertex corrections are included.
  • domain assumption DFT+DMFT provides a sufficiently accurate single-particle electronic structure for the doped bilayer nickelate
    Standard starting point for the subsequent RPA step.

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