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REVIEW 2 major objections 5 minor 80 references

In-plane oxygen vacancies flip the Hall sign in bilayer nickelate films by selectively killing the d_x2-y2 transport channel.

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2026-07-11 21:31 UTC pith:NKJN6UIM

load-bearing objection Solid microscopic account of the nickelate Hall sign flip: in-plane vacancies, not rigid-band doping, select the d_x2-y2 channel; scalar RTA is the softest step but does not sink the claim. the 2 major comments →

arxiv 2607.04122 v1 pith:NKJN6UIM submitted 2026-07-05 cond-mat.supr-con cond-mat.str-el

Hall Coefficient Sign Reversal Driven by Orbital-Selective Oxygen-Vacancy Scattering in Nickelate Films

Jian-Jian Miao , Yue Liu , Yue Zhao , Yichen Hua , Changming Yue , Wei-Qiang Chen This is my paper
classification cond-mat.supr-con cond-mat.str-el PACS 74.25.F-74.70.-b72.10.Fk71.27.+a
keywords bilayer nickelatesHall coefficientoxygen vacanciesorbital-selective scatteringT-matrixBoltzmann transportquasiparticle Fermi surface
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.

Hall measurements on superconducting bilayer nickelate films show the Hall coefficient reversing sign when oxygen vacancies are introduced, and that change cannot be explained by simply adding electrons. This paper builds a correlated multi-orbital quasiparticle band structure and then treats oxygen vacancies as real scatterers with a T-matrix inside Boltzmann transport. Multiband compensation alone leaves the Hall coefficient negative. In-plane vacancies, however, scatter the d_x2-y2-dominated pocket much more strongly than the d_z2 channel, so the signed mean-free-path areas cancel and the Hall coefficient crosses through zero; inner-apical vacancies do the opposite and make it more negative. The result supplies a concrete, orbital-resolved reason why oxygen stoichiometry controls normal-state transport in these films and why different samples can show positive, near-zero or negative Hall responses.

Core claim

Multiband compensation is not enough: in-plane oxygen vacancies selectively suppress the transport channel dominated by the d_x2-y2 orbital and thereby drive the Hall coefficient through zero, whereas inner-apical vacancies make the Hall coefficient more negative. Pocket-resolved and orbital-selective oxygen-vacancy scattering is therefore the microscopic origin of the observed Hall sign reversal.

What carries the argument

A DFT+CDMFT quasiparticle Hamiltonian for the four Ni orbitals, combined with a first-principles T-matrix for the local vacancy potential and Ong’s geometric formula for the weak-field Hall conductivity (signed area swept by the mean-free-path contour). The machinery converts orbital-selective scattering rates into pocket-resolved Hall contributions that can cancel.

Load-bearing premise

The calculation assumes that a simple, band- and momentum-dependent transport lifetime obtained from Matthiessen’s rule with a single hand-chosen clean-limit lifetime is enough to set the relative weights of the pocket Hall areas.

What would settle it

Measure Hall coefficient versus controlled oxygen-vacancy concentration on films whose vacancy site preference (in-plane versus inner-apical) has been independently fixed by diffraction or spectroscopy; a pure in-plane series should reverse sign while a pure apical series should not.

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.

Referee Report

2 major / 5 minor

Summary. The manuscript argues that Hall-coefficient sign reversals observed in superconducting bilayer nickelate films cannot be explained by rigid-band electron doping from oxygen vacancies alone. Starting from a DFT+CDMFT quasiparticle Hamiltonian that reproduces the ARPES Fermiology (three pockets α, β, γ with distinct d_x2−y2 / d_z2 weights), the authors evaluate the weak-field Hall coefficient via Ong’s geometric formula in a semiclassical Boltzmann framework. They construct microscopic single-vacancy scattering potentials from DFT for inner-apical and in-plane oxygen sites, compute band- and momentum-dependent transport rates with a T-matrix, and mix them with a vacancy-free background via Matthiessen’s rule. Rigid-band doping makes R_H less negative but never flips its sign; in-plane vacancies selectively suppress the α / d_x2−y2 channel and drive R_H through zero, while inner-apical vacancies make R_H more negative. The claimed microscopic origin is therefore pocket-resolved, orbital-selective oxygen-vacancy scattering.

Significance. If correct, the work supplies a concrete, falsifiable microscopic mechanism for the oxygen-stoichiometry dependence of R_H in ambient-pressure bilayer nickelate films, and it cleanly separates doping from scattering—something that has been missing in the experimental literature. Strengths include: (i) a first-principles vacancy potential (Supplemental Material D, Tables VII–VIII) rather than phenomenological impurity parameters; (ii) an explicit demonstration that rigid-band doping alone never produces a sign change (Fig. 2, Table II); (iii) pocket- and orbital-resolved decompositions (Tables I–II, Fig. 4, Table IX); and (iv) documented robustness of the qualitative trend to τ0 over 10–500 fs and to small Δαβ and η (Supplemental Material C, F). These elements make the paper a useful framework for interpreting Hall data together with structural probes of oxygen defects.

major comments (2)
  1. Main text Eqs. (7)–(8) and Supplemental Material E, Eqs. (E.20) vs (E.24): the sign reversal is obtained only after collapsing the T-matrix scattering probability into a scalar transport time τ_mk via the projection (1−v̂·v̂′) and then mixing channels with Matthiessen’s rule and a hand-inflated vacancy-free τ0 = 50 fs (nominal resistivity calibration ~5.8 fs). Because each Ong area A_ℓ^u scales with products of τ, residual momentum/orbital anisotropy or inter-pocket vertex structure retained in the full vector mean-free-path equation (E.20) could reweight α versus β and move or eliminate the zero crossing. Supplemental Material F shows only that n*_vac shifts with τ0 while the qualitative trend survives; it does not test the scalar approximation itself. A limited numerical check of (E.20) for at least one vacancy type, or a sharper argument that the orbital selectivity already present in
  2. Main text discussion of the half-dome experiment [67] and Fig. 3: the paper asserts that in-plane vacancies drive the experimentally observed sign reversal, and cites evidence that vacancies preferentially occupy in-plane sites [7]. It does not, however, report a quantitative comparison of the predicted n*_vac (and its dependence on the a%/b% distribution) with the oxygen-vacancy concentrations at which R_H crosses zero in Ref. [67], nor does it estimate how sensitive that crossing is to residual inelastic/incoherent scattering beyond the inflated τ0. Without that comparison, the claim that the calculated mechanism is the microscopic origin of the measured sign reversal remains only semi-quantitative.
minor comments (5)
  1. Fig. 1 caption and main text: the relative orbital weight is defined as P_x = 1−2W_x in the figure caption but as P^x_mk = 1−2W^x_mk with W^x = |ϕ_{x+}|^2+|ϕ_{x−}|^2 in the text; the factor of 2 is nonstandard and should be clarified so that the color scale is unambiguous.
  2. Table I vs Table IX and Supplemental Material C: units and the out-of-plane lattice constant c enter the absolute conductivities; a brief statement that R_H is independent of the overall scale of τ0 in the vacancy-free limit (already used) but that absolute σ_xx is used only for the τ0 calibration would help readers who recompute the tables.
  3. Supplemental Material A: the ad-hoc inter-pocket coupling Δαβ = 15 meV is introduced to separate α and β; Tables V–VI show weak sensitivity of vacancy-free R_H, but a one-sentence remark in the main text that the Hall results are insensitive to this gap would reassure readers who notice the half-unit-cell starting point.
  4. References and experimental context: several very recent film-transport and oxygen-defect papers are cited; a short explicit mapping of which samples are oxygen-rich / stoichiometric / deficient relative to the five distributions in Fig. 3 would improve readability for experimental groups.
  5. Notation: the same symbol n_vac is used for concentration in the rigid-band plot (Fig. 2) and in the scattering calculation; stating once that the rigid-band n_vac is only a doping proxy (two electrons per vacancy) would avoid confusion.

Circularity Check

1 steps flagged

No construction-level circularity: Hall sign reversal is a computed consequence of independent DFT vacancy potentials and multiband Boltzmann transport, not forced by the τ0 calibration or self-cited Fermiology.

specific steps
  1. self citation load bearing [Quasiparticle model section; Eq. (1); Ref. [68]]
    "We start from the correlated multi-orbital model of the bilayer nickelate film obtained from DFT+CDMFT [68], which reproduces the ARPES Fermiology of superconducting nickelate heterostructures [16]."

    The three-pocket Fermiology and orbital weights that supply the competing Hall channels are imported from the authors’ own prior DFT+CDMFT paper. This is a standard electronic-structure input (also checked against ARPES), not a uniqueness claim or a definition of RH, so it is only a minor self-citation, not a construction that forces the vacancy-driven sign reversal.

full rationale

The derivation chain is self-contained as a first-principles-plus-Boltzmann calculation. The quasiparticle Hamiltonian is taken from the authors’ prior DFT+CDMFT work and is further anchored to ARPES Fermiology; that is ordinary use of an electronic-structure input, not a uniqueness theorem or a result defined in terms of RH. Vacancy-free RH is independent of the constant τ0 and is only a consistency check against stoichiometric-film data. Rigid-band doping is shown not to flip the sign. The load-bearing mechanism—in-plane versus inner-apical orbital-selective T-matrix scattering—comes from DFT-derived local vacancy potentials (Δεx, Δεz, hoppings) that are not fitted to Hall data. τ0 is calibrated to longitudinal resistivity and then inflated, but RH(nvac) trends (in-plane drives through zero; apical does not) are reported across a wide τ0 window (10–500 fs), so the sign-reversal claim is not statistically forced by that single number. Scalar RTA/Matthiessen is a soft approximation, not a circular reduction. Score 1 only for the minor, non-load-bearing self-citation of the QP model as the starting FS.

Axiom & Free-Parameter Ledger

4 free parameters · 6 axioms · 0 invented entities

The claim rests on a correlated quasiparticle band structure taken as given, semiclassical Boltzmann transport with scalar RTA, dilute independent vacancies, and a few numerical knobs (especially τ0). No new particles are invented; the load-bearing novelty is the calculated orbital selectivity of real oxygen-vacancy potentials, not a postulated entity.

free parameters (4)
  • vacancy-free transport time τ0
    Nominal calibration from resistivity gives ~5.8 fs; authors adopt τ0 = 50 fs (and scan 10–500 fs) to account for other scattering channels. Sign-change concentration n*_vac shifts with τ0 even though qualitative trends hold.
  • inter-pocket coupling Δαβ
    Ad hoc 15 meV term added so α and β pockets are separable on the mesh; SM shows small effect on R_H but it is still a hand parameter.
  • Dirac-delta broadening η
    η = 5 meV used for Fermi-surface and scattering integrals; SM sensitivity is small but the value is chosen.
  • vacancy distribution fractions a%/b%
    Mixed in-plane/apical percentages are scanned by hand; experiment is cited as preferring in-plane sites, but fractions are free inputs to the transport curves.
axioms (6)
  • domain assumption Low-energy transport is described by the DFT+CDMFT quasiparticle Hamiltonian H_QP with diagonal Z and ReΣ(0) in the bonding basis.
    Eq. (1) and SM A; band structure is imported from prior CDMFT work and treated as fixed input.
  • domain assumption Weak-field Hall response follows semiclassical Boltzmann transport and Ong’s geometric mean-free-path area formula.
    Eqs. (2)–(5) and SM B; neglects quantum interference and current vertex corrections from AF fluctuations discussed later.
  • domain assumption Oxygen-vacancy scattering is elastic, dilute, and independent; total rate follows Matthiessen’s rule with scalar transport times.
    Eqs. (7)–(8) and SM E; interactions between vacancies and inelastic channels are omitted.
  • domain assumption Doping from oxygen removal can be modeled separately by rigid-band chemical-potential shifts.
    Fig. 2 and surrounding text; used to show doping alone does not reverse R_H.
  • domain assumption Single-vacancy DFT-Wannier parameter changes in a 4×4 supercell define the microscopic T-matrix potential.
    SM D; assumes the local potential extracted this way is transferable to the dilute film limit.
  • standard math Standard linear-response and Fermi golden-rule identities for elastic impurity scattering.
    SM E derivation of transport rate from T-matrix and Boltzmann collision integral.

pith-pipeline@v1.1.0-grok45 · 25888 in / 3427 out tokens · 32499 ms · 2026-07-11T21:31:34.002751+00:00 · methodology

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read the original abstract

Hall measurements in superconducting bilayer nickelate films show sign reversals that cannot be explained by rigid-band electron doping alone. We combine a DFT+CDMFT-derived correlated multi-orbital quasiparticle model with a $T$-matrix treatment of oxygen-vacancy scattering in a semiclassical Boltzmann transport framework. We find that multiband compensation is insufficient by itself: in-plane vacancies selectively suppress the transport channel dominated by the $d_{x^2-y^2}$ orbital and drive $R_H$ through zero, whereas inner-apical vacancies make $R_H$ more negative. These results identify pocket-resolved and orbital-selective oxygen-vacancy scattering as the microscopic origin of the Hall coefficient sign reversal and provide a framework for oxygen-stoichiometry-dependent transport in nickelate films.

Figures

Figures reproduced from arXiv: 2607.04122 by Changming Yue, Jian-Jian Miao, Wei-Qiang Chen, Yichen Hua, Yue Liu, Yue Zhao.

Figure 1
Figure 1. Figure 1: FIG. 1. Quasiparticle Fermi surface colored by the relative [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Rigid-band [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 4
Figure 4. Figure 4: resolves the mechanism for the mixed 20/80 dis￾tribution: oxygen-vacancy scattering suppresses both α and β pocket contributions, but the α contribution is reduced more strongly, driving the total Hall coefficient positive. The apparent increase of the γ contribution originates mainly from the reduced longitudinal conduc￾tivities in the denominator of R γ H, rather than from an enhanced pocket-resolved Hal… view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3 [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5 [PITH_FULL_IMAGE:figures/full_fig_p012_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6 [PITH_FULL_IMAGE:figures/full_fig_p014_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7 [PITH_FULL_IMAGE:figures/full_fig_p015_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: shows the same calculation as [PITH_FULL_IMAGE:figures/full_fig_p019_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9 [PITH_FULL_IMAGE:figures/full_fig_p020_9.png] view at source ↗

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