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REVIEW 3 major objections 5 minor 81 references

Epitaxial growth of gold films on the elemental superconductors V(100), Nb(100) and Nb(110)

T0 review · 3 major / 5 minor · reviewed 2026-08-15 · deepseek-v4-flash

Pith's one-line read This paper establishes that flat, oxygen-free gold films grown on V(100), Nb(110), and Nb(100) develop a hard, proximity-induced superconducting gap that stays above half the bulk gap for films thinner than ten monolayers, even though the…

desk verdict A useful growth paper with a strong YSR result, but the dGSJ/hard-gap interpretation is overstretched given the alloyed films. read the letter →

arxiv 2505.08914 v1 pith:DN2DWGQ7 submitted 2025-05-13 cond-mat.supr-con cond-mat.mes-hall

classification cond-mat.supr-concond-mat.mes-hall
keywords proximityeffectgoldthinfilmsvanadiumniobiumdeGennes-Saint-JamesresonancesYu-Shiba-Rusinovstatesscanningtunnelingspectroscopyepitaxialgrowth
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 establishes that flat, oxygen-free gold films can be grown on three bulk superconducting surfaces—V(100), Nb(110), and Nb(100)—by annealing after room-temperature deposition, even though the surfaces carry oxygen reconstructions and the annealing draws substrate atoms into the film. The authors show by scanning tunneling spectroscopy that these intermixed films nevertheless develop a proximity-induced superconducting gap that is hard, meaning zero conductance inside the gap, and closer to the bulk gap than to half of it for films thinner than 10 monolayers. On the flat R1 termination of Au/Nb(110), the magnetic molecule FeTPP-Cl survives adsorption with its spin intact, evidenced by spin-excitation peaks and by Yu-Shiba-Rusinov bound states at zero energy for a dechlorinated species. If correct, the work means that proximitized gold films can serve as a practical platform for combining molecular magnetism, on-surface synthesis, and superconductivity without demanding pristine, extensively cleaned superconductor surfaces.

What carries the argument

The load-bearing object is the superconducting thin film itself as a ballistic proximity junction: a normal-metal gold layer of thickness L on a bulk superconductor, with quasiparticles reflected at the vacuum interface. The argument runs through the de Gennes-Saint-James resonance condition $2L\epsilon/(\xi \Delta)=n\pi+\arccos(\epsilon/\Delta)$, which predicts one sub-gap bound state for $L\ll\xi$; the pair of conductance peaks flanking the gap is read as that resonance. STS with superconducting V or Nb tips supplies the energy resolution to see the hard gap and the resonance positions, while XPS establishes the intermixing that the argument must absorb. Yu-Shiba-Rusinov states, computed for a magnetic impurity on a proximitized gold film, serve as the magnetic probe that certifies the molecules' spin survives.

What would settle it

Measure the same films with a normal-metal tip and compare the sub-gap conductance against the dirty-limit prediction: under the ballistic assumption, the zero-bias conductance should stay at zero for film thicknesses well below the mean free path, whereas a diffusive film would show a finite in-gap density of states that grows with thickness; a second check is to track the dGSJ resonance energy as a function of local terrace height on a wedged film and see whether it follows Eq. (1) with L equal to the STM-measured thickness.

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Extended reading notes

Core claim

The paper claims that superconducting proximity survives, and even dominates, in gold films that are deliberately grown on contaminated, reconstructed V and Nb surfaces. After annealing, the films are flat and oxygen-free but contain diffused V or Nb atoms; XPS shows an Au-V alloy on V(100) at high temperature. Despite this, STS on Au/V(100) and Au/Nb(110) shows a zero-conductance gap whose coherence-peak resonances sit at about 96% and 80% of the respective bulk gaps, which the authors attribute to de Gennes-Saint-James bound states confined between the superconductor and the vacuum. On Au/Nb(100), the gap decays by roughly 10% per nanometer of added film thickness, and the authors conclude that diffused substrate atoms reduce the ballistic proximity length. Finally, the paper asserts that FeTPP-Cl on the R1 phase of Au/Nb(110) retains its S=5/2 moment and that a chiral dechlorinated species sits at a quantum phase transition from strong to weak coupling, evidenced by YSR states pinned at the tip gap.

Load-bearing premise

The load-bearing premise is that the annealed, partly alloyed gold films remain in the ballistic proximity regime, with film thickness shorter than the quasiparticle mean free path, so the de Gennes-Saint-James interpretation and the hard-gap conclusion apply; if the diffused vanadium or niobium atoms instead make the films diffusive, the same spectra would need a dirty-limit model and the hard-gap claim would not follow.

Editorial extensions

If this is right

  • Gold films on V(100) and Nb(110) thinner than 10 monolayers keep a superconducting gap greater than half the bulk value, so they can be used as superconducting platforms for molecular and device studies.
  • On Au/Nb(110), only the flat R1 termination preserves intact FeTPP-Cl molecules with a spin excitation, while the R2 and R3 reconstructions decompose or distort them, so surface phase selection controls molecular viability.
  • On Au/Nb(100), the superconducting gap drops by about 10% per nanometer of added film thickness, and less-intermixed corrugated films show slower decay, indicating that substrate-atom diffusion sets the length scale for pair correlations.
  • The hard gap with de Gennes-Saint-James resonances appears at critical fields of roughly 0.4 T for Au/V(100) and 0.5 T for Au/Nb(110), giving a direct measure of the induced pairing strength.
  • Proximitized gold films can be made without extensive cleaning of V and Nb surfaces, since flat films grow on the oxygen-reconstructed starting surfaces.
  • Editor's extension: if the hard gap survives in these partly alloyed films, the diffused V or Nb impurities may scatter quasiparticles less than their chemical presence suggests, and a direct comparison of gap hardness in deliberately alloyed versus pure films would settle how much disorder the ballistic proximity effect tolerates.
  • Editor's extension: the YSR states pinned at the tip-gap energy suggest the chiral FeTPP species can be tuned through the singlet-doublet quantum phase transition by tip force; a lower-temperature spectroscopic map could locate the degeneracy point and test whether the coupling can be pushed across it.
  • Editor's extension: the recipe of accepting intermixing could extend to other noble metals deposited on reconstructed niobium or vanadium surfaces, with the pseudomorphic silver buffer layer on Nb(110) as a natural comparison; the gap-versus-thickness slope would then become a direct probe of how much alloying degrades the ballistic proximity effect.

Reading between the lines

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

  • Editor's extension: if the hard gap survives in these partly alloyed films, the diffused V or Nb impurities may scatter quasiparticles less than their chemical presence suggests, and a direct comparison of gap hardness in deliberately alloyed versus pure films would settle how much disorder the ballistic proximity effect tolerates.
  • Editor's extension: the YSR states pinned at the tip-gap energy suggest the chiral FeTPP species can be tuned through the singlet-doublet quantum phase transition by tip force; a lower-temperature spectroscopic map could locate the degeneracy point and test whether the coupling can be pushed across it.
  • Editor's extension: the recipe of accepting intermixing could extend to other noble metals deposited on reconstructed niobium or vanadium surfaces, with the pseudomorphic silver buffer layer on Nb(110) as a natural comparison; the gap-versus-thickness slope would then become a direct probe of how much alloying degrades the ballistic proximity effect.
  • Editor's extension: the de Gennes-Saint-James resonance position on a corrugated film could serve as a local thickness sensor, since the resonance energy depends on the normal-metal length through Eq. (1); cross-checking STS peak positions against STM height profiles would test this directly.
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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 paper reports a systematic growth study of Au thin films on V(100), Nb(110), and Nb(100) using STM and XPS, with additional STS characterization of proximity-induced superconductivity and of FeTPP-Cl molecules deposited on the Au/Nb(110) films. The authors show that flat films can be obtained after post-annealing, that annealing causes intermixing with substrate atoms, and that the films exhibit a superconducting gap attributed to the proximity effect, interpreted with de Gennes-Saint-James resonances. They further report an inelastic spin excitation for FeTPP-Cl and Yu-Shiba-Rusinov states for a dechlorinated species, and conclude that these gold films are promising platforms for molecular magnetism and on-surface synthesis without extensive substrate cleaning.

Significance. If the central claims hold, this is a useful experimental advance: it expands the available platforms for proximity-coupled thin films beyond the well-studied Ag/Nb(110) system, and demonstrates a route to adsorb intact magnetic molecules on a superconducting gold surface. The paper contains a substantial body of new experimental data—growth morphologies across three substrate orientations, XPS identification of intermixing, STS spectra as a function of field and thickness, and molecular spectroscopy—that will be of interest to the condensed-matter and molecular-nanoscience communities. The use of standard theoretical models (Yu-Shiba-Rusinov, de Gennes-Saint-James) is appropriate and the paper is written clearly overall. The main weakness is that a load-bearing assumption, the ballistic proximity regime, is not quantitatively supported for the very films whose spectra are interpreted with Eq. (1).

major comments (3)
  1. [Sec. III, Eq. (1) and the paragraph beginning 'Having resolved the properties...'] The dGSJ interpretation of Fig. 4b,d presupposes a ballistic normal layer with thickness L smaller than the quasiparticle mean free path l. The manuscript itself states that diffused V/Nb atoms 'induce new quasiparticle scattering processes that reduce the electronic mean free path' and later concludes that diffusion 'unequivocally reduces the ballistic proximity effect in the films.' Yet no estimate of l, impurity concentration, or residual resistivity is given for the films measured in Fig. 4, whose STM images show abundant atomic-scale defects (Fig. 4a,c). If the films are diffusive, Eq. (1) does not describe the spectra, and the observed zero-conductance gap would have to be analyzed with a diffusive model (e.g., the Usadel equation), which can also produce a minigap for sufficiently thin layers. The central claim—that these films exhibit a hard proximity gap with dGSJ resonances close to the bulk value—is therefore not established without either a quantitative justification of L < l or a diffusive-model analysis.
  2. [Abstract and Sec. IV (Conclusion); XPS data in Sec. II] The abstract claims that gold films 'can grow flat and oxygen-free when annealed to sufficiently high temperatures,' and the conclusion states that superconducting gold films can be grown 'without the need of extensively cleaning their surface.' However, the oxygen-free claim is demonstrated only for Au/V(100), via the O 1s XPS data in Fig. 1k inset. No XPS data are presented for Nb(110) or Nb(100); the starting Nb surfaces show NbO nanocrystals (Fig. 2b) and a Nb-(3x1)-O reconstruction (Fig. 3b), and the text leaves the alloying on Nb(110) as 'very probable' based on STM alone. The generalization to all three surfaces is therefore unsupported. Additionally, the 'without extensive cleaning' phrasing understates the elaborate preparation used (sputtering, annealing, high-temperature flashes; Sec. VI). Please restrict the oxygen-free claim to V(100) or provide supporting XPS for the Nb substrates, and qualify the statement about cleaning.
  3. [Sec. III, Fig. 5 and the thickness-dependence paragraph] The conclusion that superconductivity extends further on corrugated Nb(100) films than on flat annealed V(100) films, used to support the statement that alloying reduces the ballistic proximity effect, is based on a questionable comparison. The horizontal axis in Fig. 5c is 'relative Au film apparent height' from STM on a strongly corrugated film (line profile in the inset shows >6 nm changes), not an independently calibrated film thickness; the film was annealed at 550°C and exhibits 3D facets. Comparing these data with the flat annealed V(100) films from Ref. [10] mixes different morphologies and measurement conditions, and no error bars are provided for either dataset. The quantitative claim of 'about 10% of gap reduction per nanometer' and the conclusion about films thinner than 10 MLs would need a calibrated thickness scale and error analysis to be made rigorous.
minor comments (5)
  1. [Abstract] The phrase 'Yu-Shiva-Rusinov states' contains a misspelling of Shiba; please change to 'Yu-Shiba-Rusinov states.'
  2. [Fig. 1 caption] The caption lists small-scale images as corresponding to '(a,c,e,g,f)'; the last entry appears to be a typo and should likely be '(a,c,e,g,i)'.
  3. [Sec. III] In the text 'From the set of spectra shown in Figs. 4b and Figs. 4d,' the phrase should be simplified to 'Figs. 4b and 4d.'
  4. [Sec. VI (Methods)] There are minor typographical errors: 'acknoweledges' in Sec. V, 'inhomogenious' in Sec. II, and 'magnetic fields applied is perpendicular' in Sec. VI; please proofread for such issues.
  5. [Sec. III, discussion of Fig. 4] The statement that dGSJ states lie at ±0.73 meV and ±1.22 meV could be misread as the raw bias positions of the peaks; please clarify that these energies are obtained after subtracting the superconducting tip gap, as implied by the surrounding text.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: standard proximity-effect and YSR models are applied to direct STM/XPS/STS measurements; self-citations are contextual and not load-bearing.

full rationale

No circular step is present. The paper's central claims are (i) flat Au films can be grown on V(100), Nb(110), and Nb(100), (ii) these films show a proximitized superconducting gap with peaks interpreted as de Gennes-Saint-James resonances, and (iii) FeTPP-Cl on R1-Au/Nb(110) retains its magnetic moment as evidenced by spin excitations and Yu-Shiba-Rusinov states. Each claim is supported by direct STM, XPS, and STS measurements. The dGSJ interpretation relies on the standard de Gennes-Saint-James equation (ref. 65, 1963), and the YSR interpretation relies on the standard Yu-Shiba-Rusinov formalism (refs. 33-35); neither is an ansatz or uniqueness theorem imported from the authors' own prior work. The self-citations (refs. 10, 66, 67) are used for context, comparison of prior T1 measurements, and as earlier reports of similar spectra on Au/V(100); they are not the inputs from which any present quantitative result is derived. Gap values and YSR energies are read directly from spectra, with Dynes fits used only to extract measured gap values in Fig. 5, not to predict a related quantity from a fitted parameter. The ballistic-regime assumption behind the hard-gap/dGSJ assignment is a physical assumption that the paper itself qualifies by noting that diffused V/Nb atoms reduce the ballistic proximity effect; whether this assumption is justified for these alloyed films is a correctness or experimental-design question, not a circular reduction. Likewise, the use of superconducting tips means that a zero dI/dV region can be influenced by the tip gap, but this is an experimental ambiguity rather than a case where a prediction is equivalent to its inputs by construction.

Assumptions & free parameters 2 free parameters · 4 assumptions · 0 invented entities

The paper's analysis depends on four assumptions: the standard dGSJ formula, the ballistic-limit condition for the film, the identification of the superconducting tip gap, and the molecular spin-state assignment. Two data-derived parameters are fit: the magnetic anisotropy D and the gap decay rate with thickness. No new physical entities are introduced.

free parameters (2)
  • Axial magnetic anisotropy D of FeTPP-Cl on Au/Nb(110) = 0.5 meV
    Inferred from the inelastic spin excitation at ±1.0 meV (Sec. III, molecular section). Used to claim the molecule retains its S=5/2 spin state.
  • Decay rate of the proxitized superconducting gap with film thickness = ~10% per nanometer
    Linear slope fitted to six STS points on corrugated Au/Nb(100) (Fig. 5c). Used to compare with prior V(100) data and to support the alloying-reduces-proximity interpretation.
assumptions (4)
  • standard math The dGSJ resonance condition (Eq. 1) correctly describes bound states in a normal metal of length L on a superconductor with coherence length ξ.
    Used in Sec. III to interpret the two sharp peaks in the proxitized gap as dGSJ resonances and to argue only one resonance lies inside the gap for L << ξ.
  • domain assumption The films are in the ballistic proximity limit (quasiparticle mean free path > film thickness) despite V/Nb diffusion into the Au film.
    Sec. III: hard gap and dGSJ interpretation require negligible quasiparticle scattering; the alloying is acknowledged but not quantitatively shown to preserve ballistic transport.
  • domain assumption The STM tip is coated with superconducting V or Nb material with a gap equal to the value extracted at high magnetic field (0.76 meV for V tip, 0.96 meV for Nb tip).
    Used to deconvolve tip and sample DOS and to locate zero energy at the tip gap edge (Sec. III, Fig. 4).
  • domain assumption FeTPP-Cl adopts an S=5/2 ground state on the Au film and the observed inelastic step corresponds to the S=5/2 to S=3/2 excitation.
    Sec. III, molecular section: the D=0.5 meV assignment relies on prior studies of FeTPP-Cl on other substrates.

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Cite this review

Pith. "Pith review of Epitaxial growth of gold films on the elemental superconductors V(100), Nb(100) and Nb(110)." pith.science (2026). https://pith.science/paper/DN2DWGQ7

@misc{pith2026250508914,
  author       = {Pith},
  title        = {Pith review of: Epitaxial growth of gold films on the elemental superconductors V(100), Nb(100) and Nb(110)},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/DN2DWGQ7}},
  note         = {Machine review of arXiv:2505.08914}
}
read the original abstract

Quantum technologies require a new generation of superconducting electronic devices and circuitry. However, the superconducting materials used to construct them are restricted to a class of bulk superconductors. Gold films grown in contact with superconducting materials can exhibit superconducting correlations through the proximity effect, with various possible implementations in quantum technology. Here, we study the growth of flat Au films on various surfaces of the elemental superconductors vanadium and niobium through a combination of low-temperature scanning tunneling microscopy (STM) and X-ray photoelectron spectroscopy (XPS). In particular, we investigate the growth morphology and composition as a function of temperature and coverage. We find that gold films can grow flat and oxygen-free when annealed to sufficiently high temperatures; however, they are also susceptible to partial intermixing with the substrate elements. Low-temperature scanning tunneling spectroscopy (STS) measurements elucidate the emergence of a proximitized superconducting gap at the gold surface. Additionally, we demonstrate the survival of the magnetic state of FeTPP-Cl molecules on the surface of these gold films, proving that they behave as a good support for probing molecular magnetism. We found that the exchange interaction between the molecular spin and the superconducting condensate can be inferred by the measurement of sub-gap Yu-Shiva-Rusinov states. Our work shows that proximitised Au films constitute a promising platform to explore on-superconducting-surface synthesis and the interaction between superconductivity and magnetism in a large spin-orbit coupling environment.

Figures

Figures reproduced from arXiv: 2505.08914 by the authors.

Figure 1
Figure 1. Au films grown on V(100). (a,c,e,g,i) Large scale STM image of clean V(100) surface with V-( [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Au films grown on Nb(110). (a,b) Large scale (a) and zoomed in (b) STM images of Nb(110) surface after high [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. Au films grown on Nb(100). (a,c,e,g) Large scale STM images of Nb(100) surface with Nb-( [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
Figures from the paper (4 more)
Figure 4
Figure 4. Figure 4: Superconducting gap measurements for Au films on V(100) and Nb(110). (a) Atomic resolved constant current [PITH_FULL_IMAGE:figures/full_fig_p007_4.png]
Figure 5
Figure 5. Figure 5: Thickness dependent superconducting gap for Au film on Nb(100). (a) Large-scale STM image of 6.7 MLs Au film [PITH_FULL_IMAGE:figures/full_fig_p008_5.png]
Figure 6
Figure 6. Figure 6: Magnetic molecule FeTPP on Au/Nb(110). (a) STM image including all three Au film domains R1 (black square), [PITH_FULL_IMAGE:figures/full_fig_p009_6.png]
Figure 7
Figure 7. Figure 7: (a) Close-up STM image of FeTPP(1). (b) Low energy range STS taken at the center (red curve) and edge (blue [PITH_FULL_IMAGE:figures/full_fig_p010_7.png]

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Works this paper leans on

81 extracted references · 74 canonical work pages

  1. [10]

    Vaxevani, J

    K. Vaxevani, J. Li, S. Trivini, J. Ortuzar, D. Longo, D. Wang, and J. I. Pascual, Nano Letters22, 6075 (2022)

  2. [1]

    N. P. de Leon, K. M. Itoh, D. Kim, K. K. Mehta, T. E. Northup, H. Paik, B. S. Palmer, N. Samarth, S. Sangtawesin, and D. W. Steuerman, Science372, eabb2823 (2021)

  3. [2]

    M. H. Devoret and R. J. Schoelkopf, Science339, 1169 (2013)

  4. [3]

    Göppl, A

    M. Göppl, A. Fragner, M. Baur, R. Bianchetti, S. Fil- ipp, J. M. Fink, P. J. Leek, G. Puebla, L. Steffen, and A. Wallraff, Journal of Applied Physics104, 113904 (2008)

  5. [4]

    A. P. M. Place, L. V. H. Rodgers, P. Mundada, B. M. Smitham, M. Fitzpatrick, Z. Leng, A. Premkumar, J. Bryon, A. Vrajitoarea, S. Sussman, G. Cheng, T. Mad- havan, H. K. Babla, X. H. Le, Y. Gang, B. Jäck, A. Gye- nis, N. Yao, R. J. Cava, N. P. de Leon, and A. A. Houck, Nature Communications12, 1779 (2021)

  6. [5]

    Kjaergaard, M

    M. Kjaergaard, M. E. Schwartz, J. Braumüller, P. Krantz, J. I.-J. Wang, S. Gustavsson, and W. D. Oliver, Annual Review of Condensed Matter Physics11, 369 (2020)

  7. [6]

    K. D. Usadel, Phys. Rev. Lett.25, 507 (1970)

  8. [7]

    F. Zhou, P. Charlat, B. Spivak, and B. Pannetier, Jour- nal of Low Temperature Physics110, 841 (1998)

Show all 81 references
  1. [8]

    McMillan, Physical Review175, 537 (1968)

    W. McMillan, Physical Review175, 537 (1968)

  2. [9]

    Premkumar, C

    A. Premkumar, C. Weiland, S. Hwang, B. Jäck, A. P. M. Place, I. Waluyo, A. Hunt, V. Bisogni, J. Pelliciari, A. Barbour, M. S. Miller, P. Russo, F. Camino, K. Kisslinger, X. Tong, M. S. Hybertsen, A. A. Houck, and I. Jarrige, Communications Materials2, 72 (2021)

  3. [11]

    Tusche, A

    C. Tusche, A. Krasyuk, and J. Kirschner, Ultrami- croscopy159, 520 (2015)

  4. [12]

    Qi and S.-C

    X.-L. Qi and S.-C. Zhang, Reviews of Modern Physics 83, 1057 (2011)

  5. [13]

    A.C.PotterandP.A.Lee,PhysicalReviewB85,094516 (2012)

  6. [14]

    B. Yan, B. Stadtmüller, N. Haag, S. Jakobs, J. Seidel, D. Jungkenn, S. Mathias, M. Cinchetti, M. Aeschlimann, and C. Felser, Nature communications6, 1 (2015)

  7. [15]

    C. C, J. Tran, A. McFadden, R. Simmonds, K. Saito, E.- D. Chu, D. Morales, V. Suezaki, Y. Hou, J. Aumentado, P. A. Lee, J. S. Moodera, and P. Wei, Science Advances 10, eado4875 (2024)

  8. [16]

    Lahtinen and J

    V. Lahtinen and J. K. Pachos, SciPost Phys.3, 021 (2017)

  9. [17]

    P. Wei, S. Manna, M. Eich, P. Lee, and J. Moodera, Physical Review Letters122, 247002 (2019)

  10. [18]

    Manna, P

    S. Manna, P. Wei, Y. Xie, K. T. Law, P. A. Lee, and J. S. Moodera, Proceedings of the National Academy of Sciences117, 8775 (2020)

  11. [19]

    J. D. Sau, R. M. Lutchyn, S. Tewari, and S. D. Sarma, Physical review letters104, 040502 (2010)

  12. [20]

    Nadj-Perge, I

    S. Nadj-Perge, I. Drozdov, B. A. Bernevig, and A. Yaz- dani, Physical Review B88, 020407 (2013). 12

  13. [21]

    Y. Peng, F. Pientka, L. I. Glazman, and F. Von Oppen, Physical review letters114, 106801 (2015)

  14. [22]

    Brydon, S

    P. Brydon, S. D. Sarma, H.-Y. Hui, and J. D. Sau, Phys- ical Review B91, 064505 (2015)

  15. [23]

    J. Cai, P. Ruffieux, R. Jaafar, M. Bieri, T. Braun, S. Blankenburg, M. Muoth, A. P. Seitsonen, M. Saleh, X. Feng,et al., Nature466, 470 (2010)

  16. [24]

    Ruffieux, S

    P. Ruffieux, S. Wang, B. Yang, C. Sánchez-Sánchez, J. Liu, T. Dienel, L. Talirz, P. Shinde, C. A. Pignedoli, D. Passerone,et al., Nature531, 489 (2016)

  17. [25]

    J.-C. Liu, R. Pawlak, X. Wang, H. Chen, P. D’Astolfo, C. Drechsel, P. Zhou, R. Häner, S. Decurtins, U. As- chauer, S.-X. Liu, W. Wulfhekel, and E. Meyer, ACS Materials Letters5, 1083 (2023), publisher: American Chemical Society

  18. [26]

    Valla, P

    T. Valla, P. Pervan, and M. Milun, Surface science307, 576 (1994)

  19. [27]

    Lykhach, J

    Y. Lykhach, J. Plšek, I. Spirovová, and Z. Bastl, Collec- tion of Czechoslovak chemical communications68, 1791 (2003)

  20. [28]

    Hüger, H

    E. Hüger, H. Wormeester, and K. Osuch, Surface science 580, 173 (2005)

  21. [29]

    S. J. Naftel, A. Bzowski, and T. K. Sham, Journal of Alloys and Compounds , 7 (1999)

  22. [30]

    M. W. Ruckman and L.-Q. Jiang, Physical Review B38, 2959 (1988)

  23. [31]

    P. Wei, F. Katmis, C.-Z. Chang, and J. S. Moodera, Nano letters16, 2714 (2016)

  24. [32]

    P. Beck, B. Nyári, L. Schneider, L. Rózsa, A. Lászlóffy, K. Palotás, L. Szunyogh, B. Ujfalussy, J. Wiebe, and R. Wiesendanger, Communications Physics6, 83 (2023)

  25. [33]

    Yu, Wu Li Hsueh Pao (China) Supersedes Chung- Kuo Wu Li Hsueh For English translation see Chin

    L. Yu, Wu Li Hsueh Pao (China) Supersedes Chung- Kuo Wu Li Hsueh For English translation see Chin. J. Phys.(Peking)(Engl. Transl.)21(1965)

  26. [34]

    Shiba, Progress of theoretical Physics40, 435 (1968)

    H. Shiba, Progress of theoretical Physics40, 435 (1968)

  27. [35]

    Rusinov, Sov

    A. Rusinov, Sov. Phys. JETP29, 1101 (1969)

  28. [36]

    of the 11th Workshop on RF Superconductivity, Lübeck/Travemünde, Germany (2003)

    P.Kneisel etal.,in Proc. of the 11th Workshop on RF Superconductivity, Lübeck/Travemünde, Germany (2003)

  29. [37]

    M. Shen, Q. Ma, I. Lee, and F. Zaera, The Journal of Physical Chemistry C111, 6033 (2007)

  30. [38]

    A. B. Odobesko, S. Haldar, S. Wilfert, J. Hagen, J. Jung, N. Schmidt, P. Sessi, M. Vogt, S. Heinze, and M. Bode, Physical Review B99, 115437 (2019)

  31. [39]

    Koller, W

    R. Koller, W. Bergermayer, G. Kresse, E. Hebenstreit, C. Konvicka, M. Schmid, R. Podloucky, and P. Varga, Surface science480, 11 (2001)

  32. [40]

    Schneider, K

    L. Schneider, K. T. Ton, I. Ioannidis, J. Neuhaus- Steinmetz, T. Posske, R. Wiesendanger, and J. Wiebe, Nature621, 60 (2023)

  33. [41]

    Valla, P

    T. Valla, P. Pervan, and M. Milun, Applied Surface Sci- ence89, 375 (1995)

  34. [42]

    C. D. Tempas, T. Morris, D. L. Wisman, D. Le, N. U. Din, C. G. Williams, M. Wang, A. V. Polezhaev, T. S. Rahman, K. G. Caulton, and S. L. Tait, Chem. Sci.9, 1674 (2018)

  35. [43]

    Huang, R

    H. Huang, R. Drost, J. Senkpiel, C. Padurariu, B. Kubala, A. L. Yeyati, J. C. Cuevas, J. Ankerhold, K. Kern, and C. R. Ast, Communications Physics3, 1 (2020)

  36. [44]

    Jenko, Surface Science , 11 (2003)

    M.Kralj, P.Pervan, M.Milun, K.Wandelt, D.Mandrino, and M. Jenko, Surface Science , 11 (2003)

  37. [45]

    Kralj, P

    M. Kralj, P. Pervan, M. Milun, J. Schneider, B. Schaefer, A. Rosenhahn, and K. Wandelt, Fizika A , 123 (1999)

  38. [46]

    Yoshimoto, Y.-G

    S. Yoshimoto, Y.-G. Kim, K. Sato, J. Inukai, and K. Itaya, Physical Chemistry Chemical Physics14, 2286 (2012)

  39. [47]

    Hammer, A

    R. Hammer, A. Sander, S. Förster, M. Kiel, K. Meinel, and W. Widdra, Physical Review B90, 035446 (2014)

  40. [48]

    Trembułowicz, A

    A. Trembułowicz, A. Sabik, and M. Grodzicki, Molecules 26, 2393 (2021)

  41. [49]

    Tomanic, M

    T. Tomanic, M. Schackert, W. Wulfhekel, C. Sürgers, and H. v. Löhneysen, Phys. Rev. B94, 220503 (2016)

  42. [50]

    Zhussupbekov, K

    K. Zhussupbekov, K. Walshe, S. I. Bozhko, A. Ionov, K. Fleischer, E. Norton, A. Zhussupbekova, V. Semenov, I.V.Shvets, andB.Walls,Scientificreports10,1(2020)

  43. [51]

    Razinkin and M

    A. Razinkin and M. Kuznetsov, The Physics of Metals and Metallography110, 531 (2010)

  44. [52]

    Arfaoui, J

    I. Arfaoui, J. Cousty, and C. Guillot, Surface science 557, 119 (2004)

  45. [53]

    Berman, A

    S. Berman, A. Zhussupbekova, B. Walls, K. Walshe, S. I. Bozhko, A. Ionov, D. D. O’Regan, I. V. Shvets, and K.Zhussupbekov,PhysicalReviewB107,165425(2023)

  46. [54]

    Levi and M

    A. Levi and M. Kotrla, Journal of Physics Condensed Matter9, 299 (1996)

  47. [55]

    2.1 introduction to scan- ning tunneling microscopy of metals and semiconductor,

    R. M. Feenstra and S. W. Hla, “2.1 introduction to scan- ning tunneling microscopy of metals and semiconductor,” (2015)

  48. [56]

    R. D. Veit, N. A. Kautz, R. G. Farber, and S. Sibener, Surface Science688, 63 (2019)

  49. [57]

    B. An, S. Fukuyama, K. Yokogawa, and M. Yoshimura, Physical Review B68, 115423 (2003)

  50. [58]

    Wulfhekel, F

    W. Wulfhekel, F. Zavaliche, F. Porrati, H. Oepen, and J. Kirschner, Europhysics Letters49, 651 (2000)

  51. [59]

    Von Bergmann, M

    K. Von Bergmann, M. Bode, and R. Wiesendanger, Physical Review B70, 174455 (2004)

  52. [60]

    Nadj-Perge, I

    S. Nadj-Perge, I. K. Drozdov, J. Li, H. Chen, S. Jeon, J. Seo, A. H. MacDonald, B. A. Bernevig, and A. Yaz- dani, Science346, 602 (2014)

  53. [61]

    Anderson, J

    W. Anderson, J. Phys. Chem. Solids11, 26 (1959)

  54. [62]

    S.-H. Ji, T. Zhang, Y.-S. Fu, X. Chen, X.-C. Ma, J. Li, W.-H. Duan, J.-F. Jia, and Q.-K. Xue, Physical review letters100, 226801 (2008)

  55. [63]

    K. J. Franke, G. Schulze, and J. I. Pascual, Science332, 940 (2011)

  56. [64]

    G. B. Arnold, Physical Review B18, 1076 (1978)

  57. [65]

    P.DeGennesandD.Saint-James,Phys.Letters4(1963)

  58. [66]

    Ortuzar, J

    J. Ortuzar, J. I. Pascual, F. S. Bergeret, and M. A. Cazalilla, Physical Review B108, 024511 (2023)

  59. [67]

    Trivini, J

    S. Trivini, J. Ortuzar, K. Vaxevani, J. Li, F. S. Berg- eret, M. A. Cazalilla, and J. I. Pascual, Physical Review Letters130, 136004 (2023)

  60. [68]

    [39,43,51,52,56]

    See Supplemental Material at [URL] for further informa- tion on the determination of the superconducting gap of the Au film using a superconducting tip in Fig.4 and 5; additional XPS spectra and analysis on car- bon; images of as-deposite Au and low temperature annealing; mode...

  61. [69]

    B.W.Heinrich, L.Braun, J.I.Pascual, andK.J.Franke, Nature Phys.9, 765 (2013)

  62. [70]

    B. W. Heinrich, G. Ahmadi, V. L. Müller, L. Braun, J. I. Pascual, and K. J. Franke, Nano Lett.13, 4840 (2013)

  63. [71]

    B.W.Heinrich, L.Braun, J.I.Pascual, andK.J.Franke, Nano Lett.15, 4024 (2015)

  64. [72]

    Rubio-Verdú, A

    C. Rubio-Verdú, A. Sarasola, D.-J. Choi, Z. Majzik, R. Ebeling, M. R. Calvo, M. M. Ugeda, A. Garcia-Lekue, D. Sánchez-Portal, and J. I. Pascual, Commun. Phys1, 13 15 (2018)

  65. [73]

    Farinacci, G

    L. Farinacci, G. Ahmadi, M. Ruby, G. Reecht, B. W. Heinrich, C. Czekelius, F. von Oppen, and K. J. Franke, Phys. Rev. lett.125, 256805 (2020)

  66. [74]

    Rubio-Verdú, J

    C. Rubio-Verdú, J. Zaldívar, R. Žitko, and J. I. Pascual, Phys. Rev. Lett.126, 017001 (2021)

  67. [75]

    W. Wang, R. Pang, G. Kuang, X. Shi, X. Shang, P. N. Liu, and N. Lin, Physical Review B91, 045440 (2015)

  68. [76]

    B. Liu, H. Fu, J. Guan, B. Shao, S. Meng, J. Guo, and W. Wang, ACS nano11, 11402 (2017)

  69. [77]

    D. Rolf, C. Lotze, C. Czekelius, B. W. Heinrich, and K. J. Franke, The journal of physical chemistry letters9, 6563 (2018)

  70. [78]

    D. Rolf, F. Maaß, C. Lotze, C. Czekelius, B. W. Heinrich, P. Tegeder, and K. J. Franke, The Journal of Physical Chemistry C123, 7425 (2019)

  71. [79]

    Mugarza, N

    A. Mugarza, N. Lorente, P. Ordejón, C. Krull, S. Stepanow, M.-L. Bocquet, J. Fraxedas, G. Ceballos, and P. Gambardella, Phys. Rev. lett.105, 115702 (2010)

  72. [80]

    Farinacci, G

    L. Farinacci, G. Ahmadi, G. Reecht, M. Ruby, N. Bog- danoff, O. Peters, B. W. Heinrich, F. von Oppen, and K. J. Franke, Physical review letters121, 196803 (2018)

  73. [81]

    Y. Liu, C. Li, F.-H. Xue, Y. Wang, H. Huang, H. Yang, J. Chen, D.-D. Guan, Y.-Y. Li, H. Zheng,et al., arXiv preprint arXiv:2207.05313 (2022)

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