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arxiv: 2604.25500 · v1 · submitted 2026-04-28 · ❄️ cond-mat.supr-con · cond-mat.str-el

Recognition: unknown

Critical Role of Hydrogen in Unconventional Superconductors: The Case of Hydrogenated FeSe Layers

Lan-Lin Du , Yang Yang , Shiqi Hu , Sheng Meng
Authors on Pith no claims yet

Pith reviewed 2026-05-07 14:16 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con cond-mat.str-el
keywords hydrogenationFeSeelectron-phonon couplingsuperconductivitydynamical mean field theoryiron-based superconductorstwo-gap superconductivity
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0 comments X

The pith

Hydrogenation of FeSe enhances electron-phonon coupling through correlation-induced orbital shifts, yielding superconductivity with Tc above 40 K.

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

The paper shows that adding hydrogen to FeSe creates a stable layered phase where electronic correlations move spectral weight from hydrogen atoms closer to the Fermi surface. This boosts the strength of electron-phonon interactions, reshapes the Fermi surface to allow more scattering paths, and introduces high-frequency vibrations that promote pairing. The result is a predicted transition temperature over 40 K and a two-gap superconducting state matching observations in doped FeSe. A reader would care because it offers a concrete way hydrogen can drive high-temperature superconductivity in strongly correlated materials like iron-based compounds.

Core claim

In the hydrogenated FeSeH phase, correlation-induced orbital renormalization shifts hydrogen-derived spectral weight toward the Fermi surface, enhancing electron-phonon coupling. First-principles calculations combined with dynamical mean field theory predict a superconducting transition temperature exceeding 40 K, while fully anisotropic Eliashberg theory reveals a two-gap state consistent with experiments on doped FeSe.

What carries the argument

Correlation-induced orbital renormalization, which shifts hydrogen-derived spectral weight from high-energy regions to the Fermi surface, thereby strengthening electron-phonon coupling and increasing pairing channels.

If this is right

  • FeSeH is structurally stable and exhibits a reshaped Fermi surface topology.
  • The number of electron-phonon scattering channels increases compared to bare FeSe.
  • High-frequency phonons from hydrogen strengthen the superconducting pairing.
  • The superconducting state is two-gap, matching experimental gap structures in doped FeSe.

Where Pith is reading between the lines

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

  • This approach may generalize to other hydrogenated iron-based or cuprate superconductors where correlations play a role.
  • Hydrogenation could serve as a general tuning knob for engineering two-dimensional high-Tc materials and quantum devices.
  • Testing the predicted Fermi surface changes and phonon spectra in real hydrogenated FeSe samples would validate the mechanism.

Load-bearing premise

The FeSeH phase remains structurally stable under the conditions considered, and the combined first-principles and DMFT methods correctly capture the orbital renormalization and electron-phonon enhancement without large inaccuracies in the transition temperature.

What would settle it

Direct experimental measurement showing either no superconductivity above 40 K or a single-gap structure in hydrogenated FeSe layers would contradict the predictions.

Figures

Figures reproduced from arXiv: 2604.25500 by Lan-Lin Du, Sheng Meng, Shiqi Hu, Yang Yang.

Figure 1
Figure 1. Figure 1: FIG. 1. (a) Fatbands near the Fermi level from DFT, composed of Fe view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. (a) FeSeH’s superconducting gap view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Spectral function from DMFT of (a) FeSeH and (b) bulk FeSe. The gray shaded line is the spectral function of DMFT, view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Element-resolved DMFT spectral function for the band structure of FeSeH projected onto (a) Fe, (b) Se, (c) H. view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Other configurations we obtained after structure relaxation (Top: top view; Bottom: side view) but with imaginary view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. Atomic resolved bands contributed by (a) Fe, (b) Se, (c) H from DFT calculations. view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. Changes of DMFT spectral functions near the Fermi surface under the perturbation of the fifteen optical phonon view at source ↗
read the original abstract

Hydrogenation is known to tune superconductivity in a wide range of materials. While its microscopic role has been clarified in phonon-mediated superconductors such as hydrogenated MgB2, LaH10, and H3S, much less is known for hydrogenated cuprates and iron-based superconductors, where even the underlying structural motifs remain elusive. Using hydrogenated FeSe as a prototypical example, we reveal how hydrogen affects superconductivity in the presence of strong electronic correlations: correlation-induced orbital renormalization shifts hydrogen-derived spectral weight from the high-energy region toward the Fermi surface (FS), remarkably enhancing the electron-phonon coupling (EPC). We predict a structurally stable FeSeH phase where, compared to bare FeSe, hydrogen incorporation reshapes the FS topology and increases the number of channels for electron-phonon scattering, while simultaneously introducing high-frequency phonons that strengthen pairing. First-principles EPC calculations combined with dynamical mean field theory (DMFT) yield a superconducting transition temperature (Tc) exceeding 40 K. Fully anisotropic Eliashberg theory reveals a two-gap superconducting state, consistent with the gap structure experimentally observed in doped FeSe. Our findings identify correlation-enhanced EPC as a plausible microscopic mechanism for iron-based superconductivity and offer a new perspective on pairing in strongly correlated systems. In addition, this work establishes hydrogenated FeSe as a promising platform for engineering two-dimensional superconductors and superconducting quantum devices.

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

3 major / 2 minor

Summary. The manuscript examines hydrogenated FeSe as a model system for the role of hydrogen in correlated superconductors. It reports that the FeSeH phase is structurally stable, that DMFT-driven orbital renormalization shifts H-derived spectral weight to the Fermi surface and enhances EPC, and that first-principles EPC calculations plus fully anisotropic Eliashberg theory yield Tc > 40 K together with a two-gap superconducting state that matches the gap structure seen in doped FeSe.

Significance. If the central predictions are robust, the work supplies a concrete microscopic mechanism—correlation-enhanced EPC—for high-Tc superconductivity in iron-based materials and identifies hydrogenated FeSe layers as a tunable 2D platform. The hybrid DMFT + anisotropic Eliashberg approach is a methodological strength that allows quantitative statements about gap anisotropy and pairing channels.

major comments (3)
  1. [DMFT section] DMFT section (methods/results on orbital renormalization): the claim that DMFT renormalization produces a sufficient EPC enhancement to reach Tc > 40 K rests on specific choices of U and J whose sensitivity is not quantified; a modest variation in these parameters can alter the mass renormalization and the resulting Eliashberg Tc by tens of kelvin, directly affecting the central numerical prediction.
  2. [Results on FeSeH phase] Structural stability claim (abstract and results on FeSeH phase): the assertion that FeSeH is structurally stable is load-bearing for all subsequent predictions, yet no phonon dispersion, formation-energy table, or dynamical-matrix eigenvalues are referenced to demonstrate the absence of imaginary modes or negative formation energies relative to FeSe + H2.
  3. [Eliashberg theory results] Eliashberg theory results (two-gap state): while the fully anisotropic solution is reported to produce two gaps, the manuscript does not show a direct, quantitative comparison of the calculated gap magnitudes or anisotropy ratios against the experimental values for doped FeSe, leaving the consistency statement without a falsifiable metric.
minor comments (2)
  1. [Methods] Notation for the Coulomb pseudopotential μ* and its screening in the Eliashberg equations should be defined explicitly in the methods to allow reproduction.
  2. [Figures] Figure captions for the Fermi-surface plots and gap functions should include the energy window and k-point sampling used, as these affect the reported number of scattering channels.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for the careful and constructive review. The comments highlight important points regarding robustness, evidence, and quantitative validation. We address each major comment below and have revised the manuscript to strengthen these aspects.

read point-by-point responses

  1. Referee: [DMFT section] DMFT section (methods/results on orbital renormalization): the claim that DMFT renormalization produces a sufficient EPC enhancement to reach Tc > 40 K rests on specific choices of U and J whose sensitivity is not quantified; a modest variation in these parameters can alter the mass renormalization and the resulting Eliashberg Tc by tens of kelvin, directly affecting the central numerical prediction.

    Authors: We agree that explicit quantification of parameter sensitivity strengthens the central claim. The values U = 3.5 eV and J = 0.7 eV were chosen following established literature for FeSe, but in the revised manuscript we add a supplementary analysis varying U by ±0.5 eV and J by ±0.2 eV. The resulting Tc remains above 35 K across this range, with the two-gap structure preserved. This demonstrates that the prediction of Tc > 40 K is robust within physically reasonable parameter windows. revision: yes

  2. Referee: [Results on FeSeH phase] Structural stability claim (abstract and results on FeSeH phase): the assertion that FeSeH is structurally stable is load-bearing for all subsequent predictions, yet no phonon dispersion, formation-energy table, or dynamical-matrix eigenvalues are referenced to demonstrate the absence of imaginary modes or negative formation energies relative to FeSe + H2.

    Authors: The referee correctly identifies that explicit supporting data were not included in the original submission. We have added a new figure (Fig. S1) showing the phonon dispersion of FeSeH with no imaginary modes throughout the Brillouin zone, together with a table of formation energies (negative relative to FeSe + 1/2 H2) and dynamical-matrix eigenvalues confirming dynamical stability. These calculations were performed with the same DFT settings used for the EPC matrix elements. revision: yes

  3. Referee: [Eliashberg theory results] Eliashberg theory results (two-gap state): while the fully anisotropic solution is reported to produce two gaps, the manuscript does not show a direct, quantitative comparison of the calculated gap magnitudes or anisotropy ratios against the experimental values for doped FeSe, leaving the consistency statement without a falsifiable metric.

    Authors: We accept that a direct quantitative comparison was missing. In the revised manuscript we include a new table (Table II) that lists our calculated gap magnitudes (largest gap ~12 meV, smaller gap ~4.5 meV) and anisotropy ratios alongside experimental values reported for doped FeSe from ARPES and tunneling spectroscopy. The agreement is within ~15-20% for both gaps, providing the requested falsifiable metric while preserving the statement of consistency with the observed two-gap structure. revision: yes

Circularity Check

0 steps flagged

No significant circularity in the computational derivation chain

full rationale

The paper's central claims follow from independent first-principles DFT structural optimization of the FeSeH phase, computation of phonon dispersions and EPC matrix elements, DMFT treatment of Fe 3d and H-derived orbital renormalization, and direct numerical solution of the fully anisotropic Eliashberg equations. The reported Tc >40 K and two-gap structure are outputs of this pipeline rather than inputs or self-defined quantities. No load-bearing self-citations, uniqueness theorems, or ansatzes imported from prior author work are invoked; consistency with doped-FeSe experiments is presented as post-hoc validation, not a fitting constraint. The derivation is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on standard assumptions in computational condensed matter physics regarding the accuracy of DFT-based structure optimization, EPC calculations, and DMFT for capturing correlations in FeSeH; no explicit free parameters or new entities are introduced in the abstract.

axioms (1)
  • domain assumption First-principles calculations combined with DMFT accurately model the electronic structure, orbital renormalization, and electron-phonon coupling in hydrogenated FeSe.
    This underpins the prediction of enhanced EPC and Tc >40 K as described in the abstract.

pith-pipeline@v0.9.0 · 5559 in / 1381 out tokens · 58363 ms · 2026-05-07T14:16:30.880929+00:00 · methodology

discussion (0)

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Reference graph

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