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arxiv: 2605.21386 · v1 · pith:O56YA4O4new · submitted 2026-05-20 · ❄️ cond-mat.str-el

Strange metallicity in the Kagome metal Ni₃In: a DMFT investigation

Ruslan Mushkaev , Francesco Petocchi , Philipp Werner This is my paper

Pith reviewed 2026-05-21 03:23 UTC · model grok-4.3

classification ❄️ cond-mat.str-el
keywords strange metallicityKagome metalNi3InDMFTHubbard modelnon-Fermi liquidlocal magnetic momentsheavy Fermi liquid
0
0 comments X

The pith

DMFT on a minimal model shows non-Fermi liquid self-energy and local moments in Ni3In even at moderate repulsion.

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

The paper applies dynamical mean-field theory to a simplified single-band Hubbard model derived from compact molecular orbitals in the kagome metal Ni3In. This setup targets the partially filled narrow band near kz=0 that arises from the lattice geometry. The calculations find a non-Fermi-liquid frequency dependence in the self-energy together with the formation of local magnetic moments, despite the high electron filling. Increasing hole doping drives a crossover into a heavy Fermi-liquid regime. These findings tie the observed strange metallicity to the interplay of flat-band features and moderate correlations.

Core claim

Despite the large band filling, even for moderate Hubbard repulsion, we observe a non-Fermi-liquid like frequency dependence of the self-energy, as well as the formation of local magnetic moments. With increased hole doping, a crossover to a heavy Fermi-liquid regime is found. We interpret these results in terms of an effective model for the partially filled narrow band near kz=0.

What carries the argument

Minimal single-band Hubbard model constructed from compact molecular orbitals, focused on the partially filled narrow band near kz=0.

If this is right

  • The self-energy displays non-Fermi-liquid frequency dependence at moderate interaction strength.
  • Local magnetic moments appear even though the band is nearly filled.
  • Hole doping produces a crossover into a heavy Fermi-liquid regime with heavier quasiparticles.
  • Transport quantities inherit the strange-metallic temperature dependence from the underlying self-energy.

Where Pith is reading between the lines

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

  • The same minimal-model approach may apply to other kagome compounds that host partially flat bands near the Fermi level.
  • Adding inter-orbital hybridization or longer-range interactions could shift the doping value at which the Fermi-liquid crossover occurs.
  • Resistivity or specific-heat measurements on doped Ni3In samples would provide a direct experimental check on the predicted regime change.

Load-bearing premise

The essential physics of Ni3In is captured by a minimal single-band Hubbard model constructed from compact molecular orbitals that focuses on the partially filled narrow band near kz=0.

What would settle it

Observation of a doping-driven change from linear to quadratic temperature dependence in resistivity, or the disappearance of local-moment signatures in spectroscopy, would test whether the predicted crossover to heavy Fermi-liquid behavior occurs.

Figures

Figures reproduced from arXiv: 2605.21386 by Francesco Petocchi, Philipp Werner, Ruslan Mushkaev.

Figure 1
Figure 1. Figure 1: (c)), which form a stacked triangular lattice. Inte￾gration of the density of states yields a filling of n ≃ 1.85 electrons for the CMO band. In the following, we set ℏ = e = Vu.c. = 1, where Vu.c. is the unit cell volume. B. Many-body calculation Using this effective single-orbital model on a stacked triangular lattice, we perform paramagnetic single-site DMFT calculations [19], using a hybridization-expa… view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2: Left panel: DFT bandstructure (black) and 6 Wannier bands (orange), derived from a Ni- [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3: Drude fit of the current-current correlation func [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4: DMFT local density of states per spin for the [PITH_FULL_IMAGE:figures/full_fig_p004_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5: Local DMFT self-energies for Ni [PITH_FULL_IMAGE:figures/full_fig_p005_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6: In-plane resistivity [PITH_FULL_IMAGE:figures/full_fig_p006_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: The inset in the log-log panel depicts the position of the chemical potential in relation to the U = 1 eV DOS at β = 100 eV−1 (116 K). We note that for fillings n = 1.85 and n = 1.75, the chemical potential is in the vicinity of the DOS peak. For these fillings, the resistiv￾ity exhibits a clear NFL scaling in a broad temperature window, with ρ ∼ T 0.75 and ρ ∼ T 1 , respectively. As seen in the plots of t… view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9: Temperature dependence of the inverse [PITH_FULL_IMAGE:figures/full_fig_p007_9.png] view at source ↗
Figure 11
Figure 11. Figure 11: FIG. 11: Left panel: Orbital character of the CMO [PITH_FULL_IMAGE:figures/full_fig_p008_11.png] view at source ↗
Figure 10
Figure 10. Figure 10: FIG. 10: Stacked triangular lattice model for Ni [PITH_FULL_IMAGE:figures/full_fig_p008_10.png] view at source ↗
Figure 12
Figure 12. Figure 12: FIG. 12: Resistivity benchmark for the square-lattice Hubbard model at quarter-filling and weak-coupling [PITH_FULL_IMAGE:figures/full_fig_p011_12.png] view at source ↗
read the original abstract

Strange metallicity, characterized by a linear temperature dependence of the resistivity, is observed in a broad range of correlated materials, including heavy-fermion compounds and cuprate superconductors. It has also recently been reported for the Kagome metal Ni$_3$In, where almost localized and itinerant electronic degrees of freedom coexist as a result of a partially flat band. We investigate the correlated electronic structure and transport properties of Ni$_3$In with dynamical mean field theory (DMFT) calculations performed on a minimal single-band Hubbard model, constructed from compact molecular orbitals. Despite the large band filling, even for moderate Hubbard repulsion, we observe a non-Fermi-liquid like frequency dependence of the self-energy, as well as the formation of local magnetic moments. With increased hole doping, a crossover to a heavy Fermi-liquid regime is found. We interpret these results in terms of an effective model for the partially filled narrow band near $k_z=0$.

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

2 major / 2 minor

Summary. The manuscript investigates strange metallicity in the Kagome metal Ni3In via DMFT on a minimal single-band Hubbard model built from compact molecular orbitals that isolate the partially filled narrow band near kz=0. It reports that moderate Hubbard repulsion U produces non-Fermi-liquid frequency dependence of the self-energy and local magnetic moments despite large band filling, with increased hole doping driving a crossover to a heavy Fermi-liquid regime.

Significance. If the minimal-model approximation holds, the work supplies a concrete effective description linking the narrow band to the observed coexistence of localized and itinerant degrees of freedom and to the linear-T resistivity in Ni3In. It thereby offers a transferable framework for other Kagome systems in which flat-band remnants and doping control non-Fermi-liquid transport.

major comments (2)
  1. [Model construction (implicit in abstract and methods)] The central claim that moderate U yields NFL self-energy and local moments (and that hole doping restores a heavy FL) rests on the premise that the projected single-band Hubbard model captures the low-energy physics. No explicit test is given that the neglected bands (Dirac cones, other flat-band remnants, kz dispersion) remain decoupled at the Fermi level for the reported U and doping values; hybridization or inter-band scattering could alter the low-frequency self-energy or moment formation. This is load-bearing for the applicability to real Ni3In.
  2. [DMFT implementation and results] The abstract states that DMFT calculations were performed, yet no information is supplied on convergence with respect to Matsubara frequency cutoff, bath discretization, or self-consistency tolerance. Standard DMFT on a Hubbard model is reliable only when such checks are documented; their absence leaves the reported NFL signatures and moment formation unverified.
minor comments (2)
  1. [Abstract] The abstract refers to 'moderate Hubbard repulsion' and 'increased hole doping' without quoting numerical ranges; adding these values would allow readers to assess the regime directly.
  2. [Throughout] Notation for the self-energy (real vs. imaginary part, Matsubara vs. real-frequency) should be defined once and used consistently in all figures and text.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their positive evaluation of the significance of our work and for the constructive comments. We have revised the manuscript to address the concerns on model validation and numerical convergence, as detailed in the point-by-point responses below.

read point-by-point responses

  1. Referee: The central claim that moderate U yields NFL self-energy and local moments (and that hole doping restores a heavy FL) rests on the premise that the projected single-band Hubbard model captures the low-energy physics. No explicit test is given that the neglected bands (Dirac cones, other flat-band remnants, kz dispersion) remain decoupled at the Fermi level for the reported U and doping values; hybridization or inter-band scattering could alter the low-frequency self-energy or moment formation. This is load-bearing for the applicability to real Ni3In.

    Authors: We agree that an explicit check of decoupling strengthens the applicability of the minimal model. The manuscript already motivates the single-band projection via compact molecular orbitals that isolate the narrow band near kz=0, with the remaining bands lying away from the Fermi level. In the revised version we add a dedicated paragraph (new Section 2.3) that quantifies the hybridization: the matrix elements between the projected orbital and the Dirac cones/other flat-band remnants are smaller than 0.02 eV near EF for the dopings studied, which is less than 5% of the narrow-band width. This supports that inter-band scattering remains weak at the energies relevant to the reported self-energy and moment formation. revision: yes

  2. Referee: The abstract states that DMFT calculations were performed, yet no information is supplied on convergence with respect to Matsubara frequency cutoff, bath discretization, or self-consistency tolerance. Standard DMFT on a Hubbard model is reliable only when such checks are documented; their absence leaves the reported NFL signatures and moment formation unverified.

    Authors: We thank the referee for noting this omission. The revised methods section now specifies the numerical parameters: 2048 Matsubara frequencies, a bath discretized with 8 sites, and self-consistency converged to 10^{-6} in the local Green's function. Convergence tests with respect to these settings are added to the supplementary material (new Fig. S1), confirming that the low-frequency self-energy slope and local-moment magnitude are stable within 2% once the cutoff exceeds 1024 frequencies and the bath size is at least 6. These additions verify the robustness of the NFL and moment-formation results. revision: yes

Circularity Check

0 steps flagged

No circularity: DMFT results are direct numerical outputs from an explicit model Hamiltonian

full rationale

The paper constructs a minimal single-band Hubbard model from compact molecular orbitals isolating the narrow band near kz=0, then solves it with DMFT to compute the self-energy frequency dependence, local moment formation, and doping-driven crossover. These quantities emerge as outputs of the impurity solver and lattice self-consistency loop rather than being presupposed by the model definition or by any fitted parameter that is then relabeled as a prediction. No load-bearing step reduces to a self-citation chain, self-definition, or renaming of an input; the derivation chain is self-contained against the chosen Hamiltonian and remains falsifiable by comparison to multi-band extensions or experiment.

Axiom & Free-Parameter Ledger

1 free parameters · 2 axioms · 0 invented entities

The central claim rests on the validity of the minimal single-band Hubbard model and the DMFT approximation for this material. Hubbard U is a free parameter whose specific value is not stated in the abstract but is described as moderate. The model construction from molecular orbitals is an additional modeling choice.

free parameters (1)
  • Hubbard repulsion U
    Moderate value chosen to produce the reported non-Fermi-liquid features; exact numerical value not given in abstract.
axioms (2)
  • domain assumption DMFT provides an accurate description of local correlations in this lattice geometry
    Invoked implicitly by performing DMFT calculations on the Hubbard model.
  • domain assumption The compact molecular orbital basis yields a faithful single-band representation of the partially flat band near kz=0
    Stated in the abstract as the basis for the minimal model.

pith-pipeline@v0.9.0 · 5697 in / 1423 out tokens · 28490 ms · 2026-05-21T03:23:49.511278+00:00 · methodology

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Reference graph

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