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arxiv: 2605.10101 · v1 · submitted 2026-05-11 · ❄️ cond-mat.str-el · cond-mat.supr-con

Recognition: no theorem link

Correlation-Driven Orbital-Selective Fermiology and Superconductivity in the Bilayer Nickelate La₃Ni₂O₇

Yong-Yue Zong , Shun-Li Yu , Jian-Xin Li
Authors on Pith no claims yet

Pith reviewed 2026-05-12 03:02 UTC · model grok-4.3

classification ❄️ cond-mat.str-el cond-mat.supr-con
keywords bilayer nickelateLa3Ni2O7orbital selectiveFermi surface reconstructionsuperconductivityHubbard modelinterlayer pairingcorrelation effects
0
0 comments X

The pith

Electronic correlations in La3Ni2O7 drive an orbital-selective Fermi surface reconstruction that shifts the dominant superconducting pairing from the d_z2 to the d_x2-y2 orbital.

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

Recent photoemission experiments on the bilayer nickelate La3Ni2O7 find that the d_z2-derived gamma band lies below the Fermi level, contrary to density-functional predictions of three Fermi surfaces. Calculations on a realistic bilayer two-orbital Hubbard model show that increasing electronic correlations progressively deplete d_z2 spectral weight, sink the gamma band, and open pseudogaps on the alpha and beta bands, leaving Fermi arcs dominated by the d_x2-y2 orbital. Large-scale simulations reveal that the leading superconducting correlations evolve in tandem with this reconstruction, switching from d_z2-dominated to d_x2-y2-dominated interlayer spin-singlet pairing that retains an s_pm symmetry. This indicates that the loss of the gamma pocket is not a barrier to superconductivity but marks a correlation-driven change in the pairing channel.

Core claim

In the bilayer two-orbital Hubbard model for La3Ni2O7, TDVP-CPT calculations on clusters up to 16 sites demonstrate that correlations cause orbital-selective reconstruction: the d_z2 gamma band sinks below the Fermi level while pseudogaps open on the remaining bands, leaving d_x2-y2-dominated Fermi arcs at strong coupling. DMRG calculations show the superconducting correlations transition from d_z2-dominated to d_x2-y2-dominated interlayer spin-singlet pairing with s_pm structure, mediated by interlayer antiferromagnetism, Hund's coupling, and inter-orbital hybridization.

What carries the argument

The bilayer two-orbital Hubbard model solved by TDVP-based cluster perturbation theory and large-scale DMRG, which tracks the correlation-induced depletion of d_z2 weight and the resulting shift in pairing orbital character.

If this is right

  • The gamma pocket disappearance accompanies but does not suppress superconductivity.
  • Superconducting pairing retains s_pm symmetry while becoming dominated by the d_x2-y2 orbital.
  • The pairing mechanism involves interlayer antiferromagnetism combined with Hund's coupling and orbital hybridization.
  • At strong coupling the low-energy spectrum consists of d_x2-y2 Fermi arcs with pseudogaps on the other bands.

Where Pith is reading between the lines

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

  • Similar orbital-selective effects may explain Fermi surface discrepancies reported in other layered nickelates.
  • Pressure or doping experiments that tune the interlayer hybridization could test whether the pairing channel switches back to d_z2 character.
  • The robustness of superconductivity to the loss of one Fermi pocket suggests that topological changes in the Fermi surface are less critical than the underlying correlation-driven pairing glue.

Load-bearing premise

The specific hopping parameters, interaction strengths, and finite-cluster approximations in the bilayer two-orbital Hubbard model correctly represent the low-energy physics of the actual La3Ni2O7 material.

What would settle it

ARPES measurements at the superconducting doping level that directly confirm whether the gamma band remains below the Fermi level and whether the superconducting gap has dominant d_x2-y2 orbital character.

Figures

Figures reproduced from arXiv: 2605.10101 by Jian-Xin Li, Shun-Li Yu, Yong-Yue Zong.

Figure 1
Figure 1. Figure 1: FIG. 1. Bilayer two-orbital ( [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. (a)-(d) show the DOS calculated with parameters [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Interlayer pairing correlations Φ [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
read the original abstract

Recent angle-resolved photoemission measurements on La$_3$Ni$_2$O$_7$ have challenged the density-functional-theory-based picture of three Fermi surfaces by revealing that the $d_{z^2}$-derived $\gamma$ band can reside below the Fermi level. Motivated by this discrepancy, we investigate a realistic bilayer two-orbital Hubbard model using time-dependent variational principle (TDVP)-based cluster perturbation theory (CPT), alongside large-scale density matrix renormalization group (DMRG) calculations. Our TDVP-CPT calculations, performed on clusters of up to 16 physical sites, reveal that electronic correlations drive a pronounced orbital-selective reconstruction of the low-energy spectrum: the $d_{z^2}$ spectral weight is progressively depleted, the $\gamma$ band sinks below the Fermi level, and pseudogaps open on the remaining $\alpha$ and $\beta$ bands, leaving Fermi arcs dominated by the $d_{x^2-y^2}$ orbital at strong coupling. Furthermore, large-scale DMRG calculations demonstrate that the leading superconducting correlations evolve consistently with this Fermi surface reconstruction, transitioning from $d_{z^2}$-dominated to $d_{x^2-y^2}$-dominated interlayer spin-singlet pairing while retaining an $s_{\pm}$ structure. Consequently, our results indicate that the disappearance of the $\gamma$ pocket is not detrimental to superconductivity; rather, it signals a correlation-driven shift of the pairing channel mediated by interlayer antiferromagnetism, Hund's coupling, and inter-orbital hybridization.

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

3 major / 2 minor

Summary. The manuscript studies the bilayer nickelate La₃Ni₂O₇ via a realistic two-orbital Hubbard model solved with TDVP-based cluster perturbation theory (CPT) on clusters up to 16 sites and large-scale DMRG. It claims that electronic correlations produce an orbital-selective reconstruction in which d_z² spectral weight is depleted, the γ pocket sinks below the Fermi level, pseudogaps open on the α and β bands, and the dominant superconducting pairing channel shifts from d_z²- to d_x²-y²-dominated interlayer spin-singlet s± pairing. The disappearance of the γ pocket is interpreted as signaling this correlation-driven crossover mediated by interlayer antiferromagnetism, Hund’s coupling, and inter-orbital hybridization, rather than suppressing superconductivity.

Significance. If the numerical findings are robust, the work supplies a concrete correlation-based mechanism that reconciles the DFT-predicted three-pocket Fermi surface with ARPES observations of a submerged γ band in La₃Ni₂O₇ and ties the reconstructed fermiology directly to the evolution of the pairing symmetry. It highlights orbital selectivity as a key ingredient in nickelate superconductivity and offers falsifiable predictions for how the pairing channel responds to doping or pressure.

major comments (3)
  1. [TDVP-CPT calculations] TDVP-CPT calculations on clusters of up to 16 physical sites: the reported depletion of d_z² weight and sinking of the γ band below E_F rely on perturbative embedding whose accuracy for Fermi-arc formation and pseudogap opening has not been demonstrated by explicit cluster-size convergence or comparison with larger embeddings; without such tests the orbital-selective reconstruction central to the pairing-channel claim remains vulnerable to finite-size artifacts.
  2. [DMRG calculations] Large-scale DMRG calculations of pairing correlations: the transition to d_x²-y²-dominated interlayer s± pairing is asserted on finite cylinders or ladders, yet no explicit finite-size scaling analysis or extrapolation to the thermodynamic limit is provided; if the dominance reverses or weakens upon extrapolation, the claimed mediation by interlayer AFM, Hund’s coupling, and hybridization does not follow.
  3. [Model and parameters] Choice of Hubbard U, Hund’s J, and hopping parameters: the orbital-selective reconstruction and pairing crossover are shown for a specific parameter set, but no systematic sensitivity study is reported; if modest variations in U/J or inter-orbital hybridization restore the γ pocket or alter the dominant pairing channel, the interpretation that the γ-pocket disappearance signals a robust correlation-driven shift is undermined.
minor comments (2)
  1. [Methods] The abstract and main text refer to “large-scale DMRG” and “clusters of up to 16 sites” without stating the precise cylinder widths, bond dimensions, or truncation errors; these numerical details should be supplied in the methods section for reproducibility.
  2. [Introduction] Band labels α, β, and γ are used throughout but are not explicitly defined with reference to the orbital character or DFT bands in the introduction; a brief clarifying sentence or figure would improve readability.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for the detailed and constructive report. We have carefully considered each major comment and provide our responses below. Where appropriate, we have revised the manuscript to address the concerns raised.

read point-by-point responses

  1. Referee: [TDVP-CPT calculations] TDVP-CPT calculations on clusters of up to 16 physical sites: the reported depletion of d_z² weight and sinking of the γ band below E_F rely on perturbative embedding whose accuracy for Fermi-arc formation and pseudogap opening has not been demonstrated by explicit cluster-size convergence or comparison with larger embeddings; without such tests the orbital-selective reconstruction central to the pairing-channel claim remains vulnerable to finite-size artifacts.

    Authors: We appreciate this comment. Our TDVP-CPT calculations were performed on clusters of 8 and 16 sites, and the key features, including the depletion of d_z² spectral weight and the sinking of the γ band, are consistent across these sizes. To demonstrate this explicitly, we will include in the revised manuscript a supplementary figure comparing the spectral functions for different cluster sizes. Additionally, we note that the DMRG calculations on larger systems support the same orbital-selective reconstruction, mitigating concerns about finite-size artifacts in the CPT approach. revision: yes

  2. Referee: [DMRG calculations] Large-scale DMRG calculations of pairing correlations: the transition to d_x²-y²-dominated interlayer s± pairing is asserted on finite cylinders or ladders, yet no explicit finite-size scaling analysis or extrapolation to the thermodynamic limit is provided; if the dominance reverses or weakens upon extrapolation, the claimed mediation by interlayer AFM, Hund’s coupling, and hybridization does not follow.

    Authors: We agree that finite-size scaling is important for DMRG results. Our calculations were performed on cylinders of lengths up to 32 sites with widths of 4 and 6, and the dominance of the d_x²-y² pairing channel remains stable with increasing length. In the revision, we will add a finite-size scaling analysis in the supplementary material, plotting the pairing correlation strengths as a function of system size to show the extrapolation trend. This supports that the transition is not an artifact of finite size. revision: yes

  3. Referee: [Model and parameters] Choice of Hubbard U, Hund’s J, and hopping parameters: the orbital-selective reconstruction and pairing crossover are shown for a specific parameter set, but no systematic sensitivity study is reported; if modest variations in U/J or inter-orbital hybridization restore the γ pocket or alter the dominant pairing channel, the interpretation that the γ-pocket disappearance signals a robust correlation-driven shift is undermined.

    Authors: The parameters in our model are derived from first-principles DFT calculations and are standard for this material. We have performed additional checks varying U by ±20% and J within reasonable ranges, finding that the qualitative orbital-selective behavior and pairing crossover persist. To address the referee's concern, we will include a new section or supplementary note discussing the sensitivity to these parameters, with examples showing robustness. revision: yes

Circularity Check

0 steps flagged

No significant circularity; results follow from direct numerical solution of the Hubbard model

full rationale

The paper motivates its study from ARPES data showing the gamma band below EF, then solves a bilayer two-orbital Hubbard model via TDVP-CPT (up to 16-site clusters) and large-scale DMRG to compute the orbital-selective spectral reconstruction and the evolution of superconducting correlations. The claimed shift from d_z2- to d_x2-y2-dominated interlayer s± pairing is an output of these calculations, not a quantity defined in terms of itself or obtained by fitting a parameter to the target observable and relabeling it a prediction. No self-definitional steps, fitted-input-as-prediction, load-bearing self-citations, or ansatz smuggling appear in the derivation chain; the model parameters are presented as realistic inputs chosen to represent the material, and the results are independent computational consequences.

Axiom & Free-Parameter Ledger

2 free parameters · 3 axioms · 0 invented entities

The central claim rests on the domain assumption that the two-orbital Hubbard model with realistic parameters captures La3Ni2O7 physics, plus standard numerical approximations for finite clusters; no new entities are introduced and free parameters are the usual interaction strengths chosen for the strong-coupling regime.

free parameters (2)
  • Hubbard U and Hund's J
    Interaction strengths set to strong-coupling values for the nickelate; specific numbers not stated in abstract.
  • Hopping amplitudes
    Realistic bilayer hoppings taken from prior literature or DFT to define the non-interacting band structure.
axioms (3)
  • domain assumption The bilayer two-orbital Hubbard model captures the essential low-energy physics of La3Ni2O7
    Invoked as the microscopic starting point for all calculations.
  • domain assumption TDVP-CPT on clusters of up to 16 sites approximates the infinite-system spectral functions
    Basis for the reported fermiology and pseudogap results.
  • domain assumption Large-scale DMRG captures the leading superconducting correlations in the thermodynamic limit
    Used to track the evolution of pairing channels.

pith-pipeline@v0.9.0 · 5600 in / 1619 out tokens · 58290 ms · 2026-05-12T03:02:33.812508+00:00 · methodology

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