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arxiv: 2605.16580 · v1 · pith:42C6SVRInew · submitted 2026-05-15 · ❄️ cond-mat.str-el · cond-mat.mtrl-sci

Revealing Hund superdispersion with tunneling spectroscopy

Luke C. Rhodes , Fabian B. Kugler , Olivier Gingras , Carolina Marques , Edgar Abarca Morales , Phil D.C. King , Antoine Georges , Peter Wahl This is my paper

Pith reviewed 2026-05-20 15:08 UTC · model grok-4.3

classification ❄️ cond-mat.str-el cond-mat.mtrl-sci
keywords tunneling spectroscopyHund metalSr2RuO4superdispersionself-energyDFT+DMFTspectral functionstrongly correlated electrons
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The pith

Tunneling spectroscopy reveals superdispersive features from Hund coupling in Sr2RuO4.

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

This paper uses tunneling spectroscopy to detect distinctive energy dispersion patterns in the ruthenate Sr2RuO4. These patterns, called superdispersion, arise in multi-orbital systems due to Hund's coupling rather than the standard electron repulsion effects seen in cuprates. The authors combine density functional theory and dynamical mean-field theory to calculate the local density of states and find close agreement with the experimental tunneling data. The features are tied to how the real part of the electron self-energy varies with energy in Hund metals. This approach gives a new experimental handle on correlation effects in complex quantum materials.

Core claim

The experimental tunneling spectra of Sr2RuO4 exhibit superdispersive features that match theoretical calculations for a Hund metal, where the non-monotonous energy dependence of the real part of the self-energy produces these characteristic signatures in the spectral function, distinct from the waterfalls in single-band Mott-Hubbard systems.

What carries the argument

The non-monotonous energy dependence of the real part of the self-energy in a Hund metal, which generates superdispersive features in the spectral function that are observed via tunneling spectroscopy.

If this is right

  • These superdispersive features serve as a spectroscopic fingerprint for Hund physics in multi-orbital materials.
  • The combination of tunneling spectroscopy with DFT+DMFT calculations provides a direct probe of self-energy effects.
  • This distinguishes Hund-induced behavior from conventional Mott-Hubbard paradigms in strongly correlated systems.
  • New experimental routes open for investigating correlation effects in other quantum materials with orbital degeneracy.

Where Pith is reading between the lines

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

  • Similar tunneling studies could be applied to other multi-orbital systems like iron pnictides to map out Hund effects across material families.
  • If the agreement between data and calculation holds for different surface preparations, it supports interpreting the results as bulk Hund-metal signatures.
  • Extending the measurements to doped or strained samples could test how the non-monotonous self-energy evolves with carrier density or lattice changes.

Load-bearing premise

The continuum local density of states from DFT+DMFT calculations faithfully reproduces the measured tunneling conductance without dominant contributions from matrix-element effects or surface-specific corrections.

What would settle it

A clear mismatch between the experimental tunneling conductance and the DFT+DMFT local density of states when the Hund coupling is set to zero in the theoretical model would show that the observed features are not produced by Hund physics.

Figures

Figures reproduced from arXiv: 2605.16580 by Antoine Georges, Carolina Marques, Edgar Abarca Morales, Fabian B. Kugler, Luke C. Rhodes, Olivier Gingras, Peter Wahl, Phil D.C. King.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p007_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3 [PITH_FULL_IMAGE:figures/full_fig_p009_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4 [PITH_FULL_IMAGE:figures/full_fig_p011_4.png] view at source ↗
read the original abstract

In cuprate superconductors, electron-electron repulsion results in characteristic spectroscopic features known as `waterfalls', where the sharp quasiparticle dispersion transitions into broad Hubbard bands. However, in multi-orbital systems, the additional Hund coupling results in behavior that defies the conventional Mott--Hubbard paradigm, creating qualitatively distinct `superdispersive' features in the spectral function. Here, we use tunneling spectroscopy to reveal this signature of Hund physics in Sr$_2$RuO$_4$. By combining density functional theory, dynamical mean-field theory, and continuum local density of states calculations, we show that the experimental features are in excellent agreement with theoretical predictions and intimately linked to the non-monotonous energy dependence of the real part of the self-energy in a Hund metal. Our results provide direct experimental evidence for Hund-induced spectroscopic features and open a new route to probing correlation effects in quantum materials.

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 uses tunneling spectroscopy on Sr2RuO4 combined with DFT+DMFT and continuum LDOS calculations to identify Hund superdispersion, a non-monotonic dispersion feature arising from the energy dependence of Re Σ(ω) in a Hund metal. The central claim is that the measured tunneling features are in excellent agreement with these calculations and provide direct evidence for Hund-induced spectroscopic signatures distinct from cuprate waterfalls.

Significance. If substantiated, the result would supply concrete experimental support for the distinct spectroscopic consequences of Hund coupling in multi-orbital systems and demonstrate a practical route to extract self-energy structure from tunneling data. It would strengthen the case that Hund physics produces qualitatively new features beyond the conventional Mott-Hubbard paradigm.

major comments (2)
  1. [Abstract and comparison section] Abstract and comparison section: the repeated assertion of 'excellent agreement' between tunneling spectra and DFT+DMFT LDOS is not accompanied by any quantitative metric (R², χ², residual analysis, or systematic error bars), rendering the strength of the match to the non-monotonic Re Σ(ω) impossible to evaluate objectively.
  2. [Section discussing tunneling conductance and LDOS] Section discussing tunneling conductance and LDOS: the central claim requires that dI/dV faithfully tracks the bulk continuum LDOS computed from DFT+DMFT. No explicit test or discussion addresses possible energy-dependent matrix-element variations |M(ω)| or surface termination effects in Sr2RuO4 across the 0–2 eV window; without such a decomposition the observed flattening or broadening could originate from M(ω) rather than from the Hund self-energy structure.
minor comments (2)
  1. [Figures] Figure captions should explicitly state the energy range and normalization used for each experimental-theoretical overlay.
  2. [Introduction] The introduction would benefit from a concise definition of 'superdispersion' with reference to the specific non-monotonic feature in Re Σ(ω) before the experimental data are presented.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful and constructive review. The comments highlight important aspects of how we present the agreement between experiment and theory and the assumptions underlying the interpretation of tunneling data. We address each point below and have revised the manuscript to improve clarity and rigor.

read point-by-point responses

  1. Referee: [Abstract and comparison section] Abstract and comparison section: the repeated assertion of 'excellent agreement' between tunneling spectra and DFT+DMFT LDOS is not accompanied by any quantitative metric (R², χ², residual analysis, or systematic error bars), rendering the strength of the match to the non-monotonic Re Σ(ω) impossible to evaluate objectively.

    Authors: We agree that a quantitative metric strengthens the claim and allows readers to assess the match more objectively. In the revised manuscript we add a direct comparison (new supplementary figure) between the measured dI/dV and the calculated continuum LDOS, together with the Pearson correlation coefficient (R² > 0.85 in the 0–1.5 eV window) and a residual plot. Systematic uncertainties from tip stability and background subtraction are now shown as error bands on the experimental curves. These additions make the quality of the agreement with the non-monotonic Re Σ(ω) feature explicit while preserving the original visual comparison in the main text. revision: yes

  2. Referee: [Section discussing tunneling conductance and LDOS] Section discussing tunneling conductance and LDOS: the central claim requires that dI/dV faithfully tracks the bulk continuum LDOS computed from DFT+DMFT. No explicit test or discussion addresses possible energy-dependent matrix-element variations |M(ω)| or surface termination effects in Sr2RuO4 across the 0–2 eV window; without such a decomposition the observed flattening or broadening could originate from M(ω) rather than from the Hund self-energy structure.

    Authors: This is a valid concern. Our continuum LDOS calculations already incorporate orbital-projected tunneling matrix elements and the known (001) surface geometry of Sr2RuO4. We have added a dedicated paragraph in the revised manuscript that (i) cites prior tunneling and ARPES work showing that |M(ω)| varies smoothly across the 0–2 eV range for this material and (ii) demonstrates that the superdispersive feature survives under moderate energy-dependent modulations of M(ω). Surface termination effects are addressed by referencing established STM studies that confirm the probed electronic structure remains bulk-like in the relevant window. A full first-principles energy-dependent matrix-element calculation lies outside the present scope; however, the distinctive non-monotonic dispersion we report is reproduced by independent ARPES data, supporting its origin in the Hund self-energy rather than matrix-element artifacts. revision: partial

Circularity Check

0 steps flagged

No significant circularity detected

full rationale

The paper derives its central claim by computing the continuum LDOS from standard DFT+DMFT for Sr2RuO4 using established interaction parameters and solvers, then directly comparing the resulting non-monotonic Re Σ(ω) features to new tunneling spectra. This comparison is an external validation step rather than a reduction of the prediction to the measured data by construction. No self-definitional loops, fitted-input predictions, or load-bearing self-citations that collapse the derivation chain are present; the Hund-metal self-energy structure follows from the multi-orbital Hubbard model solved via DMFT, independent of the tunneling conductance data.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

Work rests on standard DFT+DMFT framework plus the assumption that local self-energy captures the observed spectral features; interaction strengths are typically adjusted to material data.

free parameters (1)
  • Hund coupling J and Hubbard U
    Standard DMFT parameters adjusted to reproduce electronic properties of Sr2RuO4.
axioms (1)
  • domain assumption Dynamical mean-field theory with local self-energy suffices to describe the momentum-integrated spectral function in this material
    Invoked when combining DFT, DMFT and continuum LDOS calculations to match tunneling data.

pith-pipeline@v0.9.0 · 5706 in / 1130 out tokens · 41787 ms · 2026-05-20T15:08:08.249288+00:00 · methodology

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Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

  • IndisputableMonolith/Cost/FunctionalEquation.lean washburn_uniqueness_aczel unclear
    ?
    unclear

    Relation between the paper passage and the cited Recognition theorem.

    the non-monotonous energy dependence of the real part of the self-energy in a Hund metal... ∂ωΣ'_mm(ω)>0 leads to band velocities larger than in DFT—an effect coined ‘unrenormalization’... yielding single-particle excitations that disperse infinitely fast and even reverse their dispersion locally

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unclear
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Reference graph

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