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arxiv: 2509.20727 · v1 · submitted 2025-09-25 · ❄️ cond-mat.supr-con · cond-mat.str-el

Distinct orbital contributions to electronic and magnetic structures in La₄Ni₃O₁₀

Shilong Zhang , Hengyuang Zhang , Zehao Dong , Jie Li , Qian Xiao , Mengwu Huo , Hsiao-Yu Huang , Di-Jing Huang
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Yayu Wang Yi Lu Zhen Chen Meng Wang Yingying Peng
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Pith reviewed 2026-05-18 14:48 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con cond-mat.str-el
keywords La4Ni3O10nickelatesRIXSorbital selectivityligand holessuperexchangehigh-Tc superconductivityd orbitals
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The pith

Ligand holes in La4Ni3O10 enable orbital-selective RIXS that shows d_x2-y2 states dominate low-energy excitations and are more itinerant than d_z2.

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

The work examines the trilayer Ruddlesden-Popper nickelate La4Ni3O10 to separate the contributions of Ni d_x2-y2 and d_z2 orbitals to its electronic and magnetic properties. X-ray absorption and electron energy loss spectroscopy combined with density functional theory identify ligand holes on planar oxygen p_x,y orbitals that hybridize with d_x2-y2 and on apical oxygen p_z orbitals that hybridize with d_z2. These identifications permit orbital-selective resonant inelastic X-ray scattering at the oxygen K-edge, which finds that d_x2-y2 states carry most of the low-energy charge excitations and move more freely. The same measurements plus Raman data detect a bimagnon at roughly 0.1 eV, fixing the interlayer superexchange J_z at about 50 meV and thereby clarifying how the two orbitals shape the overall structure relevant to pressure-induced superconductivity.

Core claim

In La4Ni3O10, ligand holes reside in the p_x,y orbitals of planar oxygen and the p_z orbitals of apical oxygen, hybridizing respectively with the Ni d_x2-y2 and d_z2 orbitals. This hybridization enables orbital-selective O K-edge RIXS, which demonstrates that d_x2-y2 states dominate low-energy charge excitations and are more itinerant than d_z2 states. The observation of a ~0.1 eV bimagnon in both RIXS and Raman spectroscopy indicates an interlayer superexchange interaction J_z of ~50 meV.

What carries the argument

Ligand holes on planar and apical oxygen p orbitals that permit orbital-selective resonant inelastic X-ray scattering at the oxygen K-edge to distinguish Ni d orbital contributions.

If this is right

  • d_x2-y2 orbitals being more itinerant implies they carry the dominant role in charge transport and in any pressure-induced superconducting pairing.
  • The extracted interlayer J_z of 50 meV supplies a quantitative scale for magnetic coupling between nickel layers in the Ruddlesden-Popper structure.
  • Orbital selectivity clarifies how pressure tunes the relative energies of d_x2-y2 and d_z2 to induce superconductivity in related nickelates.

Where Pith is reading between the lines

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

  • The same ligand-hole assignment could be applied to other layer-number RP nickelates to test whether d_x2-y2 dominance persists across the series.
  • Models of pairing in these materials should weight the more itinerant d_x2-y2 orbital more heavily than d_z2 when constructing effective Hamiltonians.
  • Pressure-dependent RIXS experiments could check whether the bimagnon energy shifts as superconductivity emerges.

Load-bearing premise

The observed X-ray absorption and scattering features can be assigned unambiguously to hybridization between specific oxygen p orbitals and nickel d_x2-y2 or d_z2 states.

What would settle it

A measurement showing either equal itinerancy for d_x2-y2 and d_z2 states in the low-energy excitations or the complete absence of the 0.1 eV bimagnon peak in RIXS and Raman spectra.

Figures

Figures reproduced from arXiv: 2509.20727 by Di-Jing Huang, Hengyuang Zhang, Hsiao-Yu Huang, Jie Li, Meng Wang, Mengwu Huo, Qian Xiao, Shilong Zhang, Yayu Wang, Yi Lu, Yingying Peng, Zehao Dong, Zhen Chen.

Figure 1
Figure 1. Figure 1: (a), using the PI /mmm lattice [40] with a ≈ b ≈ 3.9 ˚A and c ≈ 27.9 ˚A; reciprocal lattice units (r.l.u.) are defined accordingly, and the scattering plane lies in the ac plane. By measuring the X-ray absorption spectra at different incident angles and polarizations, we decom￾posed the absorption spectra of La4Ni3O10 to in-plane ab- and out-of-plane c-directions, as shown in [PITH_FULL_IMAGE:figures/full… view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4 [PITH_FULL_IMAGE:figures/full_fig_p004_4.png] view at source ↗
read the original abstract

High-T$_c$ superconductivity has recently been discovered in Ruddlesden-Popper phase nickelates under pressure, where the low-energy electronic structure is dominated by Ni $d_{x^2 - y^2}$ and $d_{z^2}$ orbitals. However, the respective roles of these orbitals in superconductivity remain unclear. Here, by combining X-ray absorption, electron energy loss spectroscopy, and density functional theory calculations on La$_{4}$Ni$_{3}$O$_{10}$ single crystals, we identify ligand holes in the $p_{x,y}$ orbitals of planar oxygen and the $p_z$ orbitals of apical oxygen, which hybridize with the Ni $d_{x^2-y^2}$ and $d_{z^2}$ orbitals, respectively. These ligand holes enable orbital-selective O K-edge resonant inelastic X-ray scattering (RIXS) study, which reveals that $d_{x^2-y^2}$ states dominate the low-energy charge excitations and are more itinerant. We also observe a $\sim$0.1 eV bimagnon through RIXS and Raman spectroscopy, which leads to an interlayer superexchange interaction J$_z$ of $\sim$50 meV. Our results reveal distinct contributions of Ni $d_{x^2-y^2}$ and $d_{z^2}$ orbitals to the electronic and magnetic structure and provide direct experimental insights to understand the RP-phase nickelate superconductors.

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 / 2 minor

Summary. The manuscript combines X-ray absorption, EELS, DFT, orbital-selective O K-edge RIXS, and Raman spectroscopy on La4Ni3O10 single crystals to identify ligand holes in planar p_x,y and apical p_z oxygen orbitals that hybridize with Ni d_x2-y2 and d_z2 states, respectively. It concludes that d_x2-y2 states dominate low-energy charge excitations and are more itinerant, while a ~0.1 eV bimagnon feature observed in RIXS and Raman implies an interlayer superexchange J_z of ~50 meV, thereby establishing distinct orbital contributions to the electronic and magnetic structures of this trilayer Ruddlesden-Popper nickelate.

Significance. If the central claims hold, the work supplies direct experimental evidence for orbital-selective charge dynamics and interlayer magnetic coupling in a parent compound relevant to the recently discovered high-Tc superconductivity in pressurized RP nickelates. The multi-technique approach, including DFT-supported orbital assignments and the bimagnon detection, offers falsifiable inputs for theoretical models of superconductivity in these systems.

major comments (1)
  1. [Abstract and bimagnon discussion] Abstract and the section discussing the bimagnon feature: the statement that the ~0.1 eV bimagnon 'leads to' an interlayer superexchange J_z of ~50 meV is presented without an explicit spin Hamiltonian, calculated two-magnon continuum, or comparison to simulated RIXS/Raman spectra. In a trilayer geometry the bimagnon energy depends on a specific combination of intra-layer J and interlayer J_z; the factor-of-two mapping therefore rests on modeling assumptions that are not shown, rendering this step load-bearing for the claim of distinct orbital roles in the magnetic structure.
minor comments (2)
  1. [Abstract] Abstract: no error bars, raw spectral data, or explicit criteria for feature assignment are provided for the RIXS, Raman, or EELS results, which would aid reproducibility.
  2. [Hybridization and RIXS study] The hybridization paragraph would benefit from a clearer statement of how the ligand-hole identification directly enables the orbital selectivity of the O K-edge RIXS measurements.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the detailed and constructive report. The single major comment raises a valid point about the presentation of the bimagnon analysis. We address it directly below and will strengthen the manuscript accordingly.

read point-by-point responses

  1. Referee: [Abstract and bimagnon discussion] Abstract and the section discussing the bimagnon feature: the statement that the ~0.1 eV bimagnon 'leads to' an interlayer superexchange J_z of ~50 meV is presented without an explicit spin Hamiltonian, calculated two-magnon continuum, or comparison to simulated RIXS/Raman spectra. In a trilayer geometry the bimagnon energy depends on a specific combination of intra-layer J and interlayer J_z; the factor-of-two mapping therefore rests on modeling assumptions that are not shown, rendering this step load-bearing for the claim of distinct orbital roles in the magnetic structure.

    Authors: We agree that an explicit spin Hamiltonian and a clearer derivation of the J_z estimate would improve the manuscript. In the revised version we will add a dedicated paragraph (or subsection) that (i) writes the Heisenberg Hamiltonian for the trilayer NiO2 planes including both intra-layer J and interlayer J_z terms, (ii) recalls the standard two-magnon scattering intensity for RIXS and Raman in the Heisenberg model (with the bimagnon peak position approximately 2J_z when intra-layer J is taken from independent estimates or DFT), and (iii) notes the relevant literature on bimagnon mapping in multilayer cuprates and nickelates that justifies the factor-of-two approximation under the conditions realized in La4Ni3O10. We will also state the assumptions explicitly (e.g., weak intra-layer dispersion contribution to the observed ~0.1 eV feature and the dominance of interlayer exchange in the trilayer geometry). This addition directly addresses the load-bearing nature of the claim while preserving the central conclusion that the observed bimagnon provides evidence for a sizable J_z. We do not believe a full numerical simulation of the two-magnon continuum is required for the present scope, but we will cite the relevant analytic expressions. revision: yes

Circularity Check

0 steps flagged

No significant circularity; experimental observables remain independent of derived J_z value

full rationale

The paper reports direct measurements via XAS, EELS, DFT, orbital-selective RIXS, and Raman spectroscopy. The ~0.1 eV bimagnon feature is presented as an observed experimental quantity that is then interpreted to yield J_z ~50 meV. This interpretation step does not reduce by construction to a parameter fitted from the same dataset, nor does any quoted relation in the abstract define the bimagnon energy in terms of J_z (or vice versa). Orbital dominance claims rest on hybridization identification and RIXS intensity contrasts that are measured independently. No self-citation chains, ansatz smuggling, or renaming of known results appear as load-bearing steps. The derivation chain is self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on standard spectroscopic assignments of ligand holes and conventional superexchange modeling; no free parameters, new particles, or ad-hoc axioms are introduced in the abstract.

axioms (1)
  • domain assumption Standard interpretation of O K-edge XAS/EELS for ligand-hole identification in transition-metal oxides
    Invoked to assign p_x,y and p_z holes to planar and apical oxygen respectively.

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Forward citations

Cited by 1 Pith paper

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

  1. Collective spin excitations in trilayer nickelate La$_4$Ni$_3$O$_{10}$

    cond-mat.supr-con 2026-04 unverdicted novelty 6.0

    Trilayer La4Ni3O10 shows spin excitations with comparable 60 meV bandwidth but substantially suppressed spectral weight relative to bilayer nickelates, indicating weaker electronic correlations and more three-dimensio...

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