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Exchange-induced suppression of superconductivity in a nano-skyrmion lattice - superconductor hybrid

T0 review · 3 major / 5 minor · reviewed 2026-08-11 · deepseek-v4-flash

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Pith's one-line read A monolayer Fe nano-skyrmion lattice on Ir(111)/Nb(110) completely quenches the superconducting gap, and tight-binding Bogoliubov-de Gennes calculations attribute the quenching to strong local s-d exchange coupling between the Fe spins…

desk verdict A new experimental platform—monolayer Fe nano-skyrmion lattice on proximitized Ir(111)/Nb(110)—shows complete local gap quenching; the fixed-Δ BdG calculation supports spectral filling but does not prove order-parameter destruction. read the letter →

arxiv 2608.09207 v1 pith:VCXTJBB7 submitted 2026-08-10 cond-mat.supr-con

Dongfei Wang , Wenbin Li , Eric Mascot , Roland Wiesendanger This is my paper · ORCID
classification cond-mat.supr-con
keywords nano-skyrmionlatticeexchangecouplingsuperconductinggapquenchingscanningtunnelingspectroscopyBogoliubov-deGennesproximityeffectskyrmion-superconductorhybridFe/Ir(111)
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

This paper reports that a monolayer Fe nano-skyrmion lattice, grown on an Ir(111) thin film proximitized by Nb(110), completely destroys the local superconducting gap: the coherence peaks vanish and the conductance ratio of Fermi-level to coherence-peak signal reaches one on the Fe islands. The study argues that the cause is not magnetic stray fields, because the nano-skyrmion spin texture is nearly compensated, but strong direct s-d exchange coupling between the Fe spins and the itinerant electrons of the Ir film. Tight-binding Bogoliubov-de Gennes calculations reproduce the spectral evolution, starting from a clean gap at zero exchange coupling and ending with a fully filled gap at strong coupling. This matters because skyrmion-superconductor hybrids are proposed platforms for topological superconductivity and Majorana modes, and the result shows that exchange-coupling strength is a decisive design constraint.

What carries the argument

The carrying object is the nano-skyrmion lattice, a periodic array of topologically non-trivial swirling spin structures with a period of about one nanometer that forms spontaneously in monolayer Fe on Ir(111) with a nearly compensated total spin. The carrying mechanism is the onsite s-d exchange coupling $J$ in a tight-binding Bogoliubov-de Gennes Hamiltonian that couples the local Fe spin at each site to the itinerant electron spin, alongside Rashba spin-orbit coupling and an s-wave pairing potential inherited from the superconducting substrate. As $J$ grows, the calculated density of states develops in-gap weight and loses its coherence peaks; the DOS ratio defined as the Fermi-level density of states divided by the average density of states at the coherence peaks climbs to near one when $J$ reaches about $2t$. That ratio provides the direct point of comparison with the experimental conductance maps, making $J$ the single control parameter that reproduces the measured spectral evolution.

What would settle it

Measure the superconducting gap on the same Fe islands while using a magnetic field to progressively unwind or polarize the nano-skyrmion lattice: if the gap stays fully quenched regardless of the spin texture, direct exchange coupling is confirmed, whereas a partial gap recovery would show that stray-field or texture-dependent pair breaking contributes. A second decisive check would be to compute the stray-field pair-breaking rate from the measured spin texture and show it is far too small to close the 1.16 meV proximity gap.

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Extended reading notes

Core claim

The central discovery is that the field-free nano-skyrmion lattice in monolayer Fe on Ir(111)/Nb(110) leaves no trace of superconductivity in the tunneling spectra: the gap and coherence peaks disappear across the Fe island, while the uncovered Ir film still shows a partially suppressed gap. This is unexpected because the nearly compensated spin texture should minimize stray-field pair breaking, and because previous monolayer ferromagnetic and antiferromagnetic films on superconductors still displayed resolvable gap features. The accompanying tight-binding calculation shows that increasing the onsite exchange coupling $J$ progressively fills the density-of-states gap and removes the coherence peaks, with essentially complete quenching near $J \approx 2t$. The paper concludes that this hybrid sits in a strong exchange-coupling regime and that direct magnetic hybridization, not stray fields, is what closes the superconducting gap.

Load-bearing premise

The causal conclusion rests on the premise that the Fe monolayer on the Ir(111) thin film has the same nearly compensated nano-skyrmion texture as on Ir(111) single crystals, so that stray-field pair breaking is negligible and the onsite exchange coupling $J$ is the only relevant quench mechanism.

Editorial extensions

If this is right

  • In a directly coupled magnet-superconductor hybrid, strong exchange coupling alone can quench superconductivity even when the magnetic layer is one atom thick and its spin texture is nearly compensated.
  • Fe/Ir(111)/Nb(110) in the as-grown strong-coupling regime cannot serve directly as a platform for skyrmion-based topological superconductivity, because the gap needed for topological states is destroyed.
  • Efforts to engineer topological states in skyrmion-superconductor hybrids must tune the exchange coupling downward, for example by choosing spacer layers, so that non-collinear magnetism survives while the superconducting gap remains open.
  • The conductance-ratio measure introduced in the paper offers a simple experimental quantity that future theoretical models of magnet-superconductor coupling can match directly.
  • The unexplained edge-localized in-gap enhancement near the Fe island marks a region where further theoretical work is needed to decide whether boundary effects of the quenched-gap region carry physical significance.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • If exchange coupling is really the quench mechanism, inserting a thin spacer that reduces $J$ should restore a resolvable superconducting gap on the Fe islands; this is a testable prediction the paper does not make.
  • The same mechanism may explain why topological superconducting phases have been hard to observe in other directly coupled monolayer magnets: the exchange coupling strong enough to create Shiba bands may also be strong enough to fill the gap before the topological phase is reached.
  • Stray-field pair breaking could still contribute on samples where the spin texture is not perfectly compensated or is partially polarized; a controlled comparison of the field-free skyrmion lattice with a field-polarized Fe monolayer on the same film would separate the two channels.
  • The near-edge in-gap enhancement, which the paper leaves unexplained, could be a boundary effect of the quenched-gap region rather than a topological signature; spin-resolved tunneling across the island edge could test that reading.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 5 minor

Summary. The manuscript reports the preparation of monolayer Fe islands on Ir(111) thin films grown epitaxially on Nb(110), the identification of the atomic-scale nano-skyrmion lattice by spin-polarized STM/STS, and the observation that the proximitized superconducting gap is completely filled on the Fe islands while the surrounding Ir surface retains a partially suppressed gap. To interpret this, the authors perform tight-binding Bogoliubov-de Gennes calculations with a fixed induced pairing potential Delta and show that increasing local s-d exchange coupling J progressively fills the density-of-states gap and suppresses coherence peaks. They conclude that the Fe nano-skyrmion lattice lies in a strong exchange-coupling regime in which exchange coupling destroys the local superconducting gap.

Significance. The experimental part is valuable: it extends the Fe/Ir(111) nano-skyrmion lattice to a proximitized superconducting thin film and provides spatially resolved spectra showing complete gap disappearance on the skyrmion lattice. The non-fit parameter study is honest, and the robust trend across mu and alpha is useful. However, the mechanistic conclusion that exchange coupling quenches superconductivity goes beyond what the fixed-Delta calculation demonstrates. If the claim is established, it sets an important constraint for skyrmion-based topological superconductivity; as presented, the manuscript needs a self-consistent treatment or a softened conclusion.

major comments (3)
  1. [Theoretical calculations, Eq. (1) and Fig. 4] The calculation keeps Delta fixed at 0.02t while varying J; it therefore demonstrates spectral-gap filling by in-gap Shiba/Andreev states, not the destruction of the pairing amplitude. The experimental signature on the Fe island - flat local DOS and absent coherence peaks - can be produced by a dense Shiba band over a finite order parameter. The conclusion that 'superconductivity gets quenched' by exchange coupling is therefore not established. Please either perform a self-consistent BdG calculation that allows Delta to respond to J and show that Delta goes to zero at the relevant coupling, or revise the concluding causal claim to state that exchange coupling fills the spectral gap rather than destroying the condensate.
  2. [Theoretical calculations, first paragraph; Fig. 4 caption] There is a direct inconsistency in the reported simulation parameters: the text states that a representative set of parameters with mu = 0 and alpha = 0.02t was used, while the Fig. 4 caption lists mu = -1.0t for panels (a-d) and (e), with no mu = 0 case shown. This prevents the reader from reproducing the calculation and must be corrected; the actual parameter values used in each panel should be stated explicitly.
  3. [Experimental results and discussion; Conclusions] The attribution of the gap quenching to exchange coupling, rather than to disorder or stray fields, rests on the assumption that the thin-film Fe/Ir(111) nano-skyrmion lattice is identical to the single-crystal system and that stray-field pair breaking is negligible. The SP-STM images in Fig. 2 support the same periodicity, but the manuscript provides no quantitative estimate of stray fields, disorder, or finite-size effects for the islands. Given that the causal claim is load-bearing, please add a concrete test - for example, a self-consistent calculation with disorder, a control experiment with a magnetic island lacking the skyrmion texture, or an estimate of the stray-field pair-breaking rate - or weaken the causal language in the conclusions.
minor comments (5)
  1. [Experimental results and discussion] Throughout the experimental sections, gap values, ratios, and spectral features are reported without error bars or statistical measures; the statement that numerous other spectra show the same behavior should be quantified, for example by giving the number of spectra and islands measured and the standard deviation of the LDOS ratio on and off the Fe islands.
  2. [Fig. 4(e,f)] The axis labels and legend of Fig. 4(e,f) should define the DOS ratio and the parameter values more explicitly; the caption is currently ambiguous about which curve corresponds to which mu or alpha value.
  3. [Figure captions] There are typographical errors in the figure captions: 'flock-in' should be 'lock-in' in Figs. 1 and 3, and 'n Fe island' should be 'an Fe island' in Fig. 3.
  4. [References] Reference [41] lacks an article number; please complete the citation for the Phys. Rev. B paper.
  5. [Supplementary information] The text refers to Figs. S1-S4, but the supplementary material is not included with the manuscript; please ensure it is available for review and referenced consistently.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the experimental observation and the fixed-parameter BdG trend are independent, and the self-citations are contextual rather than load-bearing.

full rationale

The paper's central claim is the observed quenching of the superconducting gap on Fe nano-skyrmion islands plus a tight-binding BdG calculation showing that increasing local s-d exchange J fills the gap. The calculation does not fit J or any other parameter to the measured spectra; the text explicitly states that 'the calculation is not intended as a direct fit to the experimental spectra' and uses stated representative parameters (Δ = 0.02 t, representative μ and α). The experimental DOS ratio and calculated DOS ratio are independent diagnostics, not fitted outputs. The assumption that the thin-film Fe islands host the same nano-skyrmion lattice as Fe/Ir(111) single crystals is supported directly by the SP-STM images in Fig. 2(c-f), so the citations to prior skyrmion work are corroborating rather than load-bearing. The citation to prior skyrmion-superconductor calculations (ref. 17) is explicitly used to highlight a discrepancy with the edge signal, not to justify the main conclusion. The one substantive modeling caveat—that the BdG calculation keeps the pairing potential Δ fixed while varying J, so a filled DOS could reflect dense Shiba/Andreev states rather than destruction of the condensate—is a limitation of the model's interpretative reach, not a circular reduction of the conclusion to its inputs. No equation in the paper is equivalent to an input by construction, and no fitted parameter is renamed as a prediction. Self-citations are present but none carries the load-bearing argument.

Assumptions & free parameters 5 free parameters · 5 assumptions · 0 invented entities

The central experimental observation does not depend on these model parameters, but the theoretical interpretation does. The tight-binding calculation scans J and shows a robust trend; however, J for the real Fe/Ir interface is not measured, so the claim that the system sits in the strong-exchange regime is an inference from the qualitative match to the DOS ratio. The mu inconsistency between text and figure caption adds uncertainty.

free parameters (5)
  • Exchange coupling J = varied from 0 to 2-3 t, not fitted
    Central coupling strength; scanned to show the gap-quenching trend, but never measured independently for the Fe/Ir interface.
  • Chemical potential mu = text says 0, Fig. 4 caption says -1.0 t
    Chosen as a representative value; the inconsistency between text and figure caption is a concrete internal flaw.
  • Rashba spin-orbit coupling alpha = 0.02 t
    Chosen representative value; the authors show the trend is robust to it.
  • Induced pairing potential Delta = 0.02 t
    Small pairing potential chosen to model proximity-induced superconductivity; not fitted to the measured gap.
  • Hopping amplitude t = energy unit
    Standard model energy scale; not a fitted parameter, but the model depends on its value.
assumptions (5)
  • domain assumption Bogoliubov-de Gennes mean-field treatment of a periodic skyrmion lattice with onsite s-wave pairing
    Used in the Theoretical calculations section; this is the standard framework for Shiba-band and magnet-superconductor models.
  • domain assumption Nearest-neighbor hopping only and uniform spin magnitude in the skyrmion texture
    Model simplification that may not capture the real Fe/Ir(111) electronic structure.
  • domain assumption Proximity-induced pairing is captured by a uniform onsite Delta in the Ir layer
    The real proximity effect may be spatially inhomogeneous, especially near the Fe islands.
  • domain assumption Stray-field pair breaking is negligible for the nearly compensated spin texture
    The authors argue this to rule out a Zeeman mechanism, but no quantitative stray-field estimate is given.
  • domain assumption The Fe/Ir(111) nano-skyrmion lattice on the Ir(111)/Nb(110) thin film is the same texture as on Fe/Ir(111) single crystals
    The SP-STM pattern is consistent with the single-crystal skyrmion lattice, but the thin-film strain and proximity to Nb could alter the texture.

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Cite this review

Pith. "Pith review of Exchange-induced suppression of superconductivity in a nano-skyrmion lattice - superconductor hybrid." pith.science (2026). https://pith.science/paper/VCXTJBB7

@misc{pith2026260809207,
  author       = {Pith},
  title        = {Pith review of: Exchange-induced suppression of superconductivity in a nano-skyrmion lattice - superconductor hybrid},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/VCXTJBB7}},
  note         = {Machine review of arXiv:2608.09207}
}
read the original abstract

Engineered magnet-superconductor hybrids have recently been identified as promising platforms for the investigation of topological superconductivity. Beyond ferro- and antiferromagnetic structures, coupling non-collinear spin textures, such as skyrmion lattices, to superconductors offers an exciting route for creating and manipulating unconventional superconducting states. In this work, by preparing monolayer Fe on Ir(111) thin films grown epitaxially on a Nb(110) surface, we realize a hybrid system of a nano-skyrmion lattice proximitized to a superconducting substrate. Scanning tunneling spectroscopy shows that superconductivity becomes suppressed by the Fe nano-skyrmion lattice, with both the superconducting gap and coherence peaks disappearing. Tight-binding calculations reveal that with increasing exchange coupling, the gap is progressively filled up and eventually superconductivity gets quenched. These results reveal microscopic constraints for designing topologically non-trivial states based on magnet-superconducting heterostructures.

Figures

Figures reproduced from arXiv: 2608.09207 by the authors.

Figure 1
Figure 1. STM topography and dI/dV spectra of Ir(111) thin films grown on Nb(110). [PITH_FULL_IMAGE:figures/full_fig_p013_1.png] view at source ↗
Figure 2
Figure 2. STM topography and corresponding dI/dV maps of sub [PITH_FULL_IMAGE:figures/full_fig_p014_2.png] view at source ↗
Figure 3
Figure 3. Spatially resolved superconducting-gap spectroscopy across an Fe island with a nanoskyrmion lattice on Ir(111)/Nb(110). (a) Spin-polarized STM topography of an Fe island on Ir(111)/Nb(110), where the nano-skyrmion lattice is resolved on the Fe island. (b) From bottom to top, spatially resolved dI/dV spectra acquired along the green arrow in (a), showing the evolution of the low-energy spectra from the uncovered Ir(1… view at source ↗
Figures from the paper (1 more)
Figure 4
Figure 4. Figure 4: Tight-binding calculations for a skyrmion lattice coupled to a superconducting substrate. (a-d) Calculated density of states near the Fermi energy under different magnet￾superconductor coupling strengths J, with all other parameters kept fixed. For J = 0 in (a), a well…

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Pith tools

Reviewed August 11, 2026 · model on record in the stance chip above.