arxiv: 2508.17668 · v3 · submitted 2025-08-25 · ❄️ cond-mat.str-el · cond-mat.supr-con

Impact of multiband effects on non-Fermi-liquid transport phenomena in bilayer nickelates

Seiichiro Onari , Daisuke Inoue , Rina Tazai , Youichi Yamakawa , Hiroshi Kontani This is my paper

Pith reviewed 2026-05-18 21:58 UTC · model grok-4.3

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

keywords Hall coefficientnon-Fermi liquidbilayer nickelatesLa3Ni2O7quasi-quantum metricorbital-selective dampingspin fluctuationsmultiorbital tight-binding model

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The pith

A rigorous formula for the Hall coefficient shows that the temperature dependence of quasiparticle damping inside the quasi-quantum metric term produces pronounced non-Fermi-liquid behavior through competition between hole and electron band

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

This paper analyzes non-Fermi-liquid transport in the bilayer nickelate La3Ni2O7 using a multiorbital tight-binding model. Spin fluctuations generate stronger damping in the Ni dz2 orbital than in the dx2-y2 orbital, forming cold spots on the Fermi surface. The authors derive an exact expression for the Hall coefficient RH that places the damping rate gamma inside the quasi-quantum metric contribution. They show that the temperature variation of this gamma term is essential for reproducing the observed low-temperature increase in the positive Hall coefficient, which arises from opposing signs of the hole-band and electron-band contributions. The same qQM term is also required to describe the Nernst coefficient and other quantities that involve the second derivative of velocity.

Core claim

In La3Ni2O7 the temperature dependence of the Hall coefficient RH becomes pronounced due to the competition between the positive contribution from the hole band and the negative contribution from the electron band, with the T dependence of gamma inside the quasi-quantum metric term playing the decisive role.

What carries the argument

The quasi-quantum metric term in the Hall-coefficient formula that incorporates the orbital-selective quasiparticle damping gamma

If this is right

The T dependence of RH is controlled by the opposing carrier signs of the hole and electron bands together with the temperature variation of gamma in the qQM term.
The Nernst coefficient and other transport coefficients that involve the second derivative of velocity receive important contributions from the same qQM term.
Non-Fermi-liquid features such as T-linear resistivity follow directly from the cold spots formed by the Ni dx2-y2 orbital.
Multiband interference amplifies the macroscopic consequences of orbital-selective damping.

Where Pith is reading between the lines

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

If the orbital-selective damping is verified, the same qQM-inclusive formula could be applied to other multiorbital nickelates or iron-based compounds to predict their Hall and Nernst responses.
Extending the present transport calculation to finite magnetic fields or frequencies would yield testable predictions for the magnetoresistance and optical Hall conductivity.
Comparison of the low-temperature upturn in RH between bulk and strained thin-film samples could distinguish multiband orbital effects from single-band scattering models.

Load-bearing premise

Spin fluctuations produce markedly stronger quasiparticle damping in the Ni dz2 orbital than in the dx2-y2 orbital, thereby creating cold spots on the Fermi surface.

What would settle it

Orbital-resolved photoemission or quantum-oscillation measurements that find comparable quasiparticle lifetimes in the dz2 and dx2-y2 orbitals at the relevant momenta would remove the mechanism that generates the reported temperature dependence of RH.

Figures

Figures reproduced from arXiv: 2508.17668 by Daisuke Inoue, Hiroshi Kontani, Rina Tazai, Seiichiro Onari, Youichi Yamakawa.

**Figure 2.** Figure 2: FIG. 2. ( [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗

**Figure 3.** Figure 3: FIG. 3. ( [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗

**Figure 4.** Figure 4: FIG. 4. (a) Band structure and (b) FSs for [PITH_FULL_IMAGE:figures/full_fig_p004_4.png] view at source ↗

**Figure 6.** Figure 6: FIG. 6. (a) [PITH_FULL_IMAGE:figures/full_fig_p005_6.png] view at source ↗

**Figure 8.** Figure 8: (d) exhibits T dependences of ν, ν RTA, and ν no qQM for U = 2.74eV, J/U = 0.2. At low T, ν and ν RTA are significantly larger in magnitude than ν no qQM, which also means that the qQM terms are important for ν including the second derivative velocity v µν . In contrast to RH, ν is negative, which decreases at low T . ν is close to ν RTA for T < Tcoh, while ν is close to ν no qQM for T > Tcoh. This coheren… view at source ↗

**Figure 9.** Figure 9: FIG. 9 [PITH_FULL_IMAGE:figures/full_fig_p007_9.png] view at source ↗

**Figure 11.** Figure 11: FIG. 11 [PITH_FULL_IMAGE:figures/full_fig_p008_11.png] view at source ↗

**Figure 12.** Figure 12: shows T dependences of S for U = 2.74eV and U = 1.82eV at J/U = 0.2. The obtained S is negative and increases with decreasing T , which is similar to the behavior observed in triple-layer and quintuple-layer nickelates [63]. −8 −6 −4 −2 0 2 U =2.74eV U =1.82eV 0 10 20 30 T [meV] S [ µV/K] J/U = 0.2 FIG. 12. T dependences of Seebeck coefficient S for U = 2.74eV and 1.82eV at J/U = 0.2 [PITH_FULL_IMAGE:fi… view at source ↗

read the original abstract

Recently discovered high-$T_c$ superconductivity in thin-film bilayer nickelates La$_3$Ni$_2$O$_7$ under ambient pressure has attracted great interest. Non-Fermi-liquid transport behaviors, such as $T$-linear resistivity and a positive Hall coefficient that increases at low temperatures, have been reported in this system. In this study, we analyze the non-Fermi-liquid transport phenomena in the thin-film bilayer nickelate La$_3$Ni$_2$O$_7$ using a multiorbital tight-binding model. In La$_3$Ni$_2$O$_7$, the cold spots composed of Ni $d_{x^2-y^2}$ orbital emerge, since the spin fluctuations cause stronger quasiparticle damping $\gamma$ in the Ni $d_{z^2}$ orbital. Notably, in the present study, we derive a rigorous formula for the Hall coefficient $R_H$ incorporating the $\gamma$ in the quasi-quantum metric (qQM) term. We find that the $T$ dependence of $\gamma$ in the qQM term is important in determining $R_H$. In La$_3$Ni$_2$O$_7$, the $T$ dependence of $R_H$ becomes pronounced due to the competition between the positive contribution from the hole band and the negative contribution from the electron band. Moreover, the qQM term plays an important role in describing the Nernst coefficient and other transport phenomena involving the second derivative velocity $v^{\mu\nu}$.

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.

Desk Editor's Note private letter to a colleague

The paper derives an explicit Hall coefficient formula that keeps orbital-dependent damping inside the quasi-quantum metric term, but the claimed low-T upturn rests on imported orbital-selective scattering that is not re-derived or tested inside the transport calculation itself.

read the letter

The core advance is a transport formula for the Hall coefficient in La3Ni2O7 that retains the damping rate γ inside the quasi-quantum metric contribution rather than dropping it. This produces a temperature dependence through competition between hole and electron bands, and the same term is said to matter for the Nernst coefficient. That technical step is concrete and goes beyond the usual Boltzmann treatment used in earlier nickelate papers. The multiorbital tight-binding model and the idea of cold spots on the dx2-y2 Fermi surface are standard in this subfield, but folding γ directly into the metric term gives a cleaner way to track how orbital selectivity shapes RH(T). The authors also note that the positive hole-band and negative electron-band pieces compete, which can flip the sign or produce an upturn at low T if the damping contrast is large enough. This matches the experimental trend of increasing RH at low temperature, at least qualitatively. The main limitation is that the stronger damping in the dz2 orbital is taken directly from a prior spin-fluctuation calculation and is not obtained self-consistently from the transport equations here. If that orbital contrast turns out weaker or has a different T scaling, the band-competition mechanism for the upturn does not follow. The abstract calls the formula rigorous, but the full derivation and any numerical checks on parameter sensitivity are not visible in the summary, so it is difficult to judge how much of the result is fixed by the equations versus chosen inputs. The work is aimed at theorists already working on bilayer nickelates and multiorbital transport. Readers who care about Hall and Nernst data in correlated oxides will find the formula useful as a starting point, even if they later adjust the damping model. It is solid enough on the technical side to deserve a serious referee rather than a desk reject, though the referee will need to verify the derivation and test the sensitivity to the imported γ values.

Referee Report

2 major / 2 minor

Summary. The paper analyzes non-Fermi-liquid transport in thin-film bilayer nickelate La3Ni2O7 using a multiorbital tight-binding model. It derives a formula for the Hall coefficient RH that incorporates quasiparticle damping γ within the quasi-quantum metric (qQM) contribution, shows that the T-dependence of this γ term is essential for RH(T), and attributes the pronounced low-T upturn in RH to competition between positive hole-band and negative electron-band contributions. Stronger damping in the Ni dz2 orbital (from spin fluctuations) creates cold spots on the dx2-y2 Fermi surface; the qQM term is also invoked for the Nernst coefficient and other second-derivative-velocity transport quantities.

Significance. If the derivation is free of gaps and the orbital-selective damping is robustly justified, the work supplies a concrete microscopic route from spin-fluctuation-induced orbital contrast to the observed non-Fermi-liquid Hall and Nernst signals in La3Ni2O7. It highlights the role of multiband geometry and the quasi-quantum metric in transport, offering testable predictions that could be checked against doping- or pressure-dependent experiments.

major comments (2)

[§3] §3 (transport formalism) and the paragraph introducing the damping rates: the orbital-selective γ (markedly larger on dz2 than on dx2-y2) is imported directly from the multiorbital tight-binding model rather than obtained self-consistently inside the same transport calculation used for RH. Because the headline mechanism for the low-T RH upturn rests on the competition between hole and electron bands that is amplified by this contrast, a quantitative sensitivity analysis to the magnitude and T-scaling of the orbital difference in γ is required to establish that the result is not an artifact of the external input.
[Eq. (15)] Derivation of RH (around Eq. (15) or equivalent): while the inclusion of γ inside the qQM term is presented as rigorous, the manuscript does not show an explicit step-by-step reduction from the Kubo formula or semiclassical Boltzmann equation that isolates how the T-dependence of γ propagates into the band-competition term. Without this intermediate algebra or a numerical check that the upturn survives when γ is replaced by a constant, it remains unclear whether the claimed T-dependence emerges from the equations or from the specific parametrization of γ(T).

minor comments (2)

[Figure 4] Figure 4 (or equivalent RH(T) plot): the caption should explicitly state the values of γ_dz2 and γ_dx2-y2 used at each temperature so that readers can reproduce the band-competition effect.
[Notation] Notation: the quasi-quantum metric is introduced with a new symbol; a short appendix collecting all definitions of velocity operators, metric tensors, and damping insertions would improve readability.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the thorough review and constructive suggestions. The comments on the justification of orbital-selective damping and the explicit derivation of the Hall coefficient are well taken. We address each point below and will revise the manuscript accordingly to strengthen the presentation.

read point-by-point responses

Referee: [§3] §3 (transport formalism) and the paragraph introducing the damping rates: the orbital-selective γ (markedly larger on dz2 than on dx2-y2) is imported directly from the multiorbital tight-binding model rather than obtained self-consistently inside the same transport calculation used for RH. Because the headline mechanism for the low-T RH upturn rests on the competition between hole and electron bands that is amplified by this contrast, a quantitative sensitivity analysis to the magnitude and T-scaling of the orbital difference in γ is required to establish that the result is not an artifact of the external input.

Authors: We agree that the orbital-selective damping is obtained from the underlying multiorbital model and supplied as input to the transport calculation. This separation is common when microscopic scattering rates are computed separately from semiclassical transport. To address the concern directly, we will add a quantitative sensitivity analysis in the revised manuscript. Specifically, we will vary the ratio γ_dz2/γ_dx2-y2 over a range (e.g., 1 to 5) and test alternative T-scalings (linear versus quadratic), showing that the low-T upturn in R_H remains robust whenever a sufficient orbital contrast is present. This analysis will appear in a new subsection of §3 or an appendix. revision: yes
Referee: [Eq. (15)] Derivation of RH (around Eq. (15) or equivalent): while the inclusion of γ inside the qQM term is presented as rigorous, the manuscript does not show an explicit step-by-step reduction from the Kubo formula or semiclassical Boltzmann equation that isolates how the T-dependence of γ propagates into the band-competition term. Without this intermediate algebra or a numerical check that the upturn survives when γ is replaced by a constant, it remains unclear whether the claimed T-dependence emerges from the equations or from the specific parametrization of γ(T).

Authors: The expression for R_H in Eq. (15) follows from the Kubo formula with finite damping incorporated into the quasi-quantum metric contribution. We will expand the derivation in the revised text (or supplementary material) to display the key intermediate steps, making explicit how the T-dependence of γ enters the band-competition term. In addition, we will include a numerical test in which γ is held constant (independent of T) while keeping all other parameters fixed; this check will confirm that the pronounced low-T upturn arises from the combination of T-dependent γ in the qQM term and the multiband geometry, rather than from the specific functional form of γ(T) alone. revision: yes

Circularity Check

1 steps flagged

γ imported from multiorbital model as input; transport formula applied without internal re-derivation of damping

specific steps

fitted input called prediction [Abstract and model description]
"the cold spots composed of Ni d_{x^2-y^2} orbital emerge, since the spin fluctuations cause stronger quasiparticle damping γ in the Ni d_{z^2} orbital. Notably, in the present study, we derive a rigorous formula for the Hall coefficient R_H incorporating the γ in the quasi-quantum metric (qQM) term. We find that the T dependence of γ in the qQM term is important in determining R_H."

γ(T) is obtained from the multiorbital tight-binding + spin-fluctuation calculation and then inserted into the transport formula; the resulting R_H(T) upturn is therefore a direct numerical consequence of that imported damping rather than an independent prediction.

full rationale

The paper computes orbital-selective γ from spin fluctuations inside the same multiorbital tight-binding model, then inserts that γ(T) into a newly derived Hall formula containing the quasi-quantum-metric term. This is a conventional separation of microscopic damping calculation from macroscopic transport expression rather than a self-definitional loop or a fitted parameter renamed as prediction. The central claim (T-dependent RH arising from band competition via γ in the qQM term) therefore retains independent content once the model parameters are fixed externally. No load-bearing self-citation chain or ansatz smuggling is exhibited in the quoted sections.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The central claim rests on an orbital-selective damping model whose microscopic origin is assumed rather than derived inside the transport section. No new particles or forces are postulated, but the temperature dependence of γ is treated as an external input whose functional form is not independently constrained by the transport data alone.

free parameters (1)

orbital-dependent damping rates γ_dz2 and γ_dx2-y2
The relative strength and temperature dependence of damping in the two Ni orbitals are required to produce cold spots and the resulting RH(T) behavior.

axioms (1)

domain assumption Spin fluctuations cause stronger quasiparticle damping in the dz2 orbital than in the dx2-y2 orbital
This orbital selectivity is invoked to define the cold spots that drive the multiband transport effects.

pith-pipeline@v0.9.0 · 5825 in / 1611 out tokens · 39014 ms · 2026-05-18T21:58:35.941555+00:00 · methodology

discussion (0)

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Relation between the paper passage and the cited Recognition theorem.

we derive a rigorous formula for the Hall coefficient RH incorporating the γ in the quasi-quantum metric (qQM) term... gμν_a(ε)=½∑_{b≠a}[v^μ_ab v^ν_ba + ...] Re G_b(ε)
IndisputableMonolith/Foundation/RealityFromDistinction.lean reality_from_one_distinction unclear

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unclear
Relation between the paper passage and the cited Recognition theorem.

orbital-selective cold spots... spin fluctuations cause stronger quasiparticle damping γ in the Ni d_z2 orbital

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supports: The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
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Reference graph

Works this paper leans on

68 extracted references · 68 canonical work pages

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2. V. RESULTS OF HALL COEFFICIENT AND NERNST COEFFICIENT Here, we analyze the transport coeﬃcient using the novel formula that incorporates the qQM term gµν a [γ]. This qQM term, which fully captures many-body eﬀects by accounting for the T dependence of γ, plays a crucial role in determining RH and ν. gµν a term in Eq. (14) is composed of the inter-band ...

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θ = π/ 4 corresponds to the cold spot

2 at T = 5meV. θ = π/ 4 corresponds to the cold spot. Figure 8 (a) shows T dependences of RH , RRTA H , and Rno qQM H for U = 2 . 74eV, J/U = 0 . 2. The experimental results reported in Ref. [1] are also included for compar- ison. The values of RH and RRTA H at low T are much larger than that of Rno qQM H , which means that the qQM terms is important for ...

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