Electronic structure of higher-order layered palladates: La$_{n+1}$Pd$_{n}$O$_{2n+2}$ $(n = 4-7)$

Alexander K. Gavrilov; Antia S. Botana; Lidia C. Santander

Higher-order layered palladates sit closer to cuprates than nickelates in bandwidth, hybridization, and Fermi-surface simplicity.

Reviewed by Pith at T0; open to challenge. T0 means a machine referee read the full paper against a public rubric. the ladder, T0–T4 →

Challenge this review Re-run · record.json Download PDF Read on arXiv ↗

T0 review · grok-4.5

2026-07-13 16:55 UTC pith:YFQWAQLT

load-bearing objection Clean DFT survey of n=4–7 palladates that puts them closer to cuprates than the nickelates; useful target list, not a mechanism paper.

arxiv 2603.27456 v2 pith:YFQWAQLT submitted 2026-03-29 cond-mat.str-el cond-mat.supr-con

Electronic structure of higher-order layered palladates: La_(n+1)Pd_(n)O_(2n+2) (n = 4-7)

Alexander K. Gavrilov , Lidia C. Santander , Antia S. Botana This is my paper

classification cond-mat.str-el cond-mat.supr-con

keywords layered palladatessquare-planar oxidescuprate analogsp-d hybridizationcharge-transfer energyelectronic structureunconventional superconductivityDFT

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

The pith

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

Recent multi-layer square-planar nickelates superconduct without doping or pressure, yet still differ from cuprates in hybridization strength and extra rare-earth bands at the Fermi level. This paper calculates the electronic structure of the still-unsynthesized palladium analogs with four to seven PdO2 layers. It finds larger d-band widths, stronger oxygen-metal hybridization, lower charge-transfer energies, and far less rare-earth d-band interference. The resulting Fermi surfaces are nearer a single-band cuprate picture. Because Pd1+ is more stable than Ni1+, the compounds may also be easier to make directly in the square-planar form. If realized, they would give a cleaner platform for testing which cuprate traits actually matter for superconductivity.

Core claim

Ab initio calculations on the hypothetical compounds La_{n+1}Pd_nO_{2n+2} (n = 4–7) show that the Pd d_{x2-y2} bands are wider (~4.5 eV versus ~3 eV in the nickelates), the p–d hybridization is stronger, the charge-transfer energy is lower (~3 eV and layer-modulated), and La-d electron pockets appear only for n ≥ 6. These traits place the palladates between nickelates and cuprates and make them closer cuprate analogs.

What carries the argument

Non-magnetic GGA-PBE band structures, densities of states, and maximally localized Wannier functions for the fully relaxed tetragonal structures, used to extract layer-resolved charge-transfer energies, hoppings, and Fermi-surface topology relative to the nickelate series.

Load-bearing premise

That non-magnetic density-functional calculations on structures relaxed from the nickelate analogs are enough to establish the hybridization, bandwidth, and Fermi-surface features that would control superconductivity once the materials exist.

What would settle it

Synthesize any member of the La_{n+1}Pd_nO_{2n+2} series and measure whether its photoemission or optical spectra show the predicted wider d bands, stronger p–d overlap, reduced rare-earth weight at the Fermi level, and the calculated Fermi-surface sheets.

Watch this falsifier. Get emailed when new claim-graph text bears on it.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit.

Desk Editor's Note

Clean DFT survey of n=4–7 palladates that puts them closer to cuprates than the nickelates; useful target list, not a mechanism paper.

read the letter

This is a straightforward, well-executed DFT comparison of the hypothetical La_{n+1}Pd_nO_{2n+2} (n=4–7) series against the nickelates that just showed a superconducting dome. What is new is the systematic layer-resolved electronic structure for the finite-n palladates: larger d_{x^{2}-y^{2}} bandwidths (~4.5 vs ~3 eV), stronger p–d hybridization (average charge-transfer energy ~3 eV, closer to cuprates), reduced La-d weight at E_F (electron pockets only for n≥6), and clear layer modulation of Δ and hoppings. They recompute the nickelate reference with the same protocol so the comparison is apples-to-apples.

The work is solid on its own terms. WIEN2k GGA-PBE, dense meshes, MLWFs via Wannier90, fully relaxed I4/mmm structures, non-magnetic bands/DOS/FS cuts and on-site energies are all standard and fully specified. Table I and Figs. 2–4 document the trends cleanly. No free parameters, no circular fitting. The claim that these compounds sit between nickelates and cuprates is supported by the numbers they report.

Soft spots are real but limited. Everything is non-magnetic GGA on structures relaxed from the nickelate analogs; that is the usual first look and sufficient for relative ranking of hybridization and FS topology, but it does not address magnetism, correlations beyond DFT, or actual synthesizability. Superconductivity candidacy is prospective, as the authors state. Citation pattern is appropriate (Botana–Norman, Kitatani, LaBollita–Botana, recent nickelate SC papers). No load-bearing flaw.

This is for people who grow or calculate cuprate analogs and want concrete targets. It deserves a serious referee; I would accept it for peer review as a high-quality materials-prediction note. Worth reading if you work in the area; I would cite the layer-resolved Δ and hopping numbers when discussing Pd vs Ni.

Referee Report

0 major / 5 minor

Summary. The manuscript presents GGA-PBE electronic-structure calculations (WIEN2k, MLWFs via Wannier90) for the hypothetical higher-order square-planar palladates La_{n+1}Pd_nO_{2n+2} (n=4–7). Structures are obtained by full relaxation of the analog nickelate lattices. The authors compare band structures, Fermi-surface cuts, atom-resolved DOS, layer-resolved charge-transfer energies Δ, and hoppings with the corresponding nickelates (reproduced from prior work). They report larger d_{x^{2}-y^{2}} bandwidths (~4.5 vs ~3 eV), stronger p–d hybridization (average Δ ~3 eV, closer to cuprates), reduced La-d interference at E_F (electron pockets only for n≥6), and layer-modulated Δ and interlayer hoppings. On this basis they argue that the palladates are closer cuprate analogs and promising candidates for unconventional superconductivity, noting that Pd^{1+} stability may allow direct synthesis without topotactic reduction.

Significance. The work supplies a clean, systematic DFT ranking of higher-order palladates against the recently superconducting multi-layer nickelates and against cuprates. The comparative quantities (bandwidth, Δ from Wannier on-site energies, Fermi-surface topology) are standard and reproducible, and the layer-resolved analysis of Δ and hoppings is a useful extension of earlier infinite-layer and finite-n nickelate studies. If the materials can be synthesized, the predictions give experimental groups concrete electronic-structure targets. The paper does not claim superconductivity itself, only a more cuprate-like electronic structure; that framing is appropriate and falsifiable once samples exist.

minor comments (5)

Title and abstract use La_{n+1}Pd_nO_{2n+2}, while the first page header writes La_{n+1}Pd_nO_{2n+1}. Correct the header stoichiometry for consistency.
Table I caption and text state that a=b are identical for all n; the tabulated a_Pd values still show a 0.01 Å drift (4.17–4.18). Either fix the numbers or note the residual variation after relaxation.
Fig. 4 top panel: the layer labels (i/m/o) and the numerical values of Δ and t_inter would be easier to read if a small table or explicit annotation were added; the color coding alone is dense for n=7.
Methodology: state the force/stress convergence thresholds used in the structural relaxations so that the lattice constants in Table I can be reproduced exactly.
A brief sentence comparing the present infinite-layer limit trends with the earlier Botana–Norman and Kitatani et al. palladate results would help place the finite-n series in context.

Circularity Check

0 steps flagged

No significant circularity: independent GGA-PBE + Wannier calculations on hypothetical Pd compounds, with nickelate results recomputed only for side-by-side comparison.

full rationale

The paper's load-bearing claims (larger dx2-y2 bandwidth ~4.5 eV, lower average charge-transfer energy ~3 eV, reduced La-d pockets at EF until n=6, larger tpd and interlayer hoppings) are direct numerical outputs of non-magnetic GGA-PBE bands/DOS/Fermi surfaces and subsequent MLWF on-site energies/hoppings performed on fully relaxed La_{n+1}Pd_nO_{2n+2} structures (Methodology, Figs. 2-4, Table I). No parameters are fitted to force these trends; the structures are constructed by analogy and relaxed ab initio. The sole self-reference (reproduction of LaBollita & Botana 2021 nickelate results) is used only for controlled comparison and is independently re-validated in the present work; it does not define or constrain the palladate outputs. Superconductivity candidacy is framed prospectively from the computed electronic-structure differences relative to nickelates and cuprates. The derivation chain is therefore self-contained first-principles computation with no reduction of predictions to inputs by construction.

Axiom & Free-Parameter Ledger

0 free parameters · 3 axioms · 0 invented entities

The central claim rests on standard DFT practice plus the domain assumption that non-magnetic GGA trends in bandwidth, hybridization and Fermi-surface topology are reliable indicators of cuprate-likeness. No free parameters are fitted to experimental data; the compounds themselves are hypothetical but not new physical entities.

axioms (3)

domain assumption GGA-PBE is an adequate exchange-correlation functional for comparing relative bandwidths, p–d hybridization and rare-earth d positions across Ni and Pd layered oxides.
Invoked throughout Methodology and Results; no hybrid or +U correction is applied.
domain assumption The non-magnetic state captures the essential low-energy electronic structure relevant for superconductivity candidacy.
Explicitly stated in Methodology; magnetic order is not explored.
domain assumption Structures obtained by full relaxation of the nickelate analogs (I4/mmm) remain representative of the true ground-state geometries of the palladates.
Structural Properties section; no phonon or formation-energy stability analysis is provided.

pith-pipeline@v1.1.0-grok45 · 13926 in / 2267 out tokens · 32190 ms · 2026-07-13T16:55:28.140293+00:00 · methodology

0 comments

read the original abstract

The square-planar layered nickelates R$_{n+1}$Ni$_n$O$_{2n+2}$ (R= Nd, $n=4-7$) have been recently shown to be superconducting without the need for chemical doping or pressure. Here, we examine the electronic structure of the analog higher-order square-planar palladates -- that have not yet been synthesized -- via \textit{ab initio} calculations. These layered palladates exhibit larger bandwidths, an increased $p-d$ hybridization, and less interference from R-$d$ bands at the Fermi level. These characteristics make them closer cuprate analogs and promising candidates to pursue in the context of unconventional superconductivity.

discussion (0)

Reference graph

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were independently reproduced and validated. III. STRUCTURAL PROPER TIES The palladates we analyze here have a general chemical formula La n+1PdnO2n+2, just like the reduced square- planar layered nickelates whose general chemical for- mula is given by La n+1NinO2n+2. We focus on the n= 4−7 cases, which correspond to La 5Pd4O10 (n= 4), La6Pd5O12 (n= 5), L...

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V. I. Anisimov, D. Bukhvalov, and T. M. Rice, Electronic structure of possible nickelate analogs to the cuprates, Phys. Rev. B59, 7901

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K.-W. Lee and W. E. Pickett, Infinite-layer LaNiO 2: Ni1+ is not Cu 2+, Phys. Rev. B70, 165109 (2004)

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2026

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Pith/arXiv arXiv 2026

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Kitatani, L

M. Kitatani, L. Si, O. Janson, R. Arita, Z. Zhong, and K. Held, Nickelate superconductors—a renaissance of the one-band hubbard model, npj Quantum Materials5, 59 (2020)

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2021

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