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Surface states in bulk single crystal of topological semimetal Co$_3$Sn$_2$S$_2$ towards water oxidation

T0 review · 4 major / 6 minor · reviewed 2026-08-14 · deepseek-v4-flash

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Pith's one-line read A bulk single crystal of Co3Sn2S2 catalyses oxygen evolution at 300 mV overpotential because its Co-derived topological surface states, located just above the Fermi level, accept electrons from adsorbed hydroxide.

desk verdict A genuinely new experimental system with solid materials characterization, but the mechanistic claim that topological surface states drive the OER activity is not supported by the evidence. read the letter →

arxiv 1908.08567 v1 pith:HCTZ6ZMB submitted 2019-08-22 cond-mat.mtrl-sci

Guowei Li , Qiunan Xu , Wujun Shi , Chenguang Fu , Lin Jiao , Machteld E. Kamminga , Mingquan Yu , Harun Tüysüz
show 11 more authors
Nitesh Kumar Vicky Sü{ss} Rana Saha Abhay K. Srivastava Steffen Wirth Gudrun Auffermann Johannes Gooth Stuart Parkin Yan Sun Enke Liu Claudia Felser
This is my paper · ORCID
classification cond-mat.mtrl-sci
keywords oxygenevolutionreactiontopologicalsemimetalCo3Sn2S2surfacestatesKagomelatticeelectrocatalysisWeylsinglecrystal
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

The paper tries to establish that the topological surface electronic structure of the magnetic Weyl semimetal Co3Sn2S2 can be used directly for electrocatalysis, specifically for the oxygen evolution reaction. It reports that a flat, bulk single-crystal electrode reaches 10 mA cm-2 at an overpotential of 300 mV in 1 M KOH, with a Tafel slope of 74 mV dec-1, performance comparable to cobalt-based nanostructured catalysts with much larger surface area. The proposed reason is that unoccupied surface states derived from Co d orbitals and protected by bulk band topology sit only 0.23 eV above the Fermi level, where they can accept electrons from adsorbed hydroxide and make charge transfer faster. If this is right, band topology becomes a design handle for high-activity catalysts, beyond the usual nanostructuring and defect engineering.

What carries the argument

The load-bearing object is the topological surface state (TSS) on the (001) surface of Co3Sn2S2: a surface electronic state forced by the inversion of bulk Co-derived bands, which survives weak surface perturbations because it is protected by the nontrivial Z2 topology. The argument runs through this state twice. First, DFT shows the unoccupied TSS is almost entirely Co d in character and sits 0.23 eV above the Fermi level, so it can accept the electrons that hydroxide donates. Second, the same Co atoms form a Kagome lattice whose surface termination has an open fivefold coordination, so the half-filled eg (specifically 3dz2) orbital projects toward the OH- pσ orbital; charge-transfer calculations show a 2.00 Å Co-OH bond with electron density reshaped into a 3dz2 dumbbell. The TSS thus supplies both the electronic acceptance level and the stability, while the Kagome coordination supplies the adsorption geometry.

What would settle it

Grow a Co3Sn2S2 crystal, destroy the long-range order of the topmost Co-Kagome layer by low-energy ion bombardment or by depositing a disordered overlayer, and measure the OER overpotential; if it stays near 300 mV at 10 mA cm-2, the topological surface states are not the main cause of the activity.

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Extended reading notes

Core claim

The central discovery is that Co3Sn2S2 single crystals expose a Kagome lattice of Co atoms whose (001) surface carries non-trivial surface states that are almost entirely from Co d orbitals, lie about 0.23 eV above the Fermi level, and remain stable against surface distortion and modification. The paper interprets these states as the catalytic sites for OER: the surface Co atoms have half-filled eg orbitals, and the empty 3dz2 orbital points toward the pσ orbital of adsorbed OH-, forming a sigma bond and transferring electrons from the adsorbate into the unoccupied surface states. It supports this picture with DFT band-structure and Green's function surface-state calculations, STM images of the cleaved Kagome surface, and charge-transfer calculations showing dumbbell-like 3dz2 charge on Co. The measured OER performance, with an overpotential of 300 mV at 10 mA cm-2, is presented as the functional consequence.

Load-bearing premise

The central load-bearing premise is that the special surface electronic states seen on a clean, cleaved crystal in vacuum remain present and active when the same crystal is immersed in 1 M KOH and held at anodic potentials during oxygen evolution.

Editorial extensions

If this is right

  • If the mechanism is right, a bulk single crystal with no nanostructuring can match or beat Co-based nanoparticle catalysts for OER, with an overpotential of 300 mV at 10 mA cm-2 (270 mV when crushed onto Ni foam).
  • Since the surface states are topologically protected, they should remain catalytically active even when the surface is distorted, partially oxidised, or covered with adsorbates, suggesting durable electrodes.
  • The same electron-transfer signature observed for hydrogen adsorption implies Co3Sn2S2-type topological semimetals may also be tested for hydrogen evolution and other two-electron surface reactions.
  • Band-structure calculations could be used as a pre-screening tool: semimetals with unoccupied Co-derived surface states just above the Fermi level are the ones worth synthesizing and testing for OER.

Reading between the lines

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

  • The paper does not prove that the topological surface states survive in 1 M KOH under anodic bias; a direct test would be to compare the OER activity of the same Co3Sn2S2 crystal before and after deliberately destroying the surface order by ion bombardment while keeping the composition fixed.
  • If the 0.23 eV empty TSS is the electron acceptor, then n-type doping or a downward shift of the Fermi level should change the overpotential in a predictable way, offering an electrochemical Fermi-level titration of the surface states.
  • The same logic should apply to other magnetic Weyl semimetals and to non-magnetic topological semimetals with unoccupied surface states near the Fermi level; a small computational screen of the family could reveal better OER candidates than Co3Sn2S2.
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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

4 major / 6 minor

Summary. The paper reports that bulk single crystals of the topological semimetal Co3Sn2S2 are outstanding oxygen evolution reaction (OER) electrocatalysts, reaching 10 mA cm−2 at an overpotential of 300 mV with a Tafel slope of 74 mV dec−1 in 1 M KOH. The authors combine DFT band-structure calculations, STM imaging of the UHV-cleaved (001) surface, transport and magnetization measurements, and XPS to argue that unoccupied, topologically protected surface states derived from Co d orbitals, located about 0.23 eV above the Fermi level, act as robust active sites by accepting electrons from adsorbed hydroxide. The paper also reports that crushing the crystal into micro-powder lowers the overpotential to 270 mV, and that a 12 h durability test shows negligible current loss for the microcrystal. The central claim is that topological surface states, rather than ordinary surface Co sites or electrochemically formed oxide phases, are responsible for the OER activity.

Significance. If substantiated, the paper would demonstrate a new design principle for electrocatalysts: exploiting topological surface states to enhance oxygen evolution kinetics. The materials work is strong: the synthesis of high-quality single crystals, single-crystal XRD, HRTEM, transport, magnetization, XPS, and STM are all carefully executed and mutually consistent, and the DFT calculations identify Co-derived surface states that are robust in the idealized vacuum-surface setting. The comparison with literature Co-based nanostructured catalysts is useful context. However, the electrochemical evidence connecting the measured activity to topological surface states is currently incomplete, and several control measurements point away from the proposed mechanism. The significance of the paper therefore hinges on additional surface characterization and electrochemical controls that are not yet provided.

major comments (4)
  1. [Electrocatalytic characterization / Fig. 2a] The overpotential of 300 mV at 10 mA cm−2 and the Tafel slope of 74 mV dec−1 are presented as single polarization curves without error bars, replicate counts, or a precisely defined geometric electrode area. The working electrode is described only as a cuboid attached to a Cu wire with silver paint; neither the immersed surface area nor masking of the electrical contact is reported. Because current density is normalized to geometric area, and the unmasked Cu wire and silver paint could contribute background current, the quantitative performance claim and the comparison with literature values in Fig. 2b are not supported at the standard expected for electrocatalysis studies.
  2. [Discussion / Fig. 4, XPS in Fig. 4b] The central mechanistic claim, that unoccupied topological surface states on the Co Kagome layer are the active sites for OER, requires that these states survive under reaction conditions. The calculations and STM data describe a clean vacuum surface at low temperature, whereas the OER measurements were performed on as-prepared crystals in 1 M KOH at anodic potentials. The XPS in Fig. 4b already shows a Co2+ component attributed to surface oxidation or S vacancies, and Co-based materials are well known to form oxyhydroxide or hydroxide surface phases under alkaline OER conditions. The paper provides no post-electrolysis or in-situ surface characterization, so the link between the topological surface states and the measured activity is not experimentally established.
  3. [Fig. 2a / micro-powder control] The crushed-crystal control reaches 10 mA cm−2 at 270 mV, which is lower than the 300 mV of the single crystal. Crushing should disrupt the well-defined Kagome (001) termination and introduce defects and alternative terminations, so this control behaves in the opposite direction from what would be expected if robust, topologically protected (001) surface states were the dominant active sites. The result instead suggests that ordinary Co surface sites or defect sites control the observed activity, and it therefore weakens rather than supports the central attribution.
  4. [Durability results / Fig. S5] The 12 h durability test and the LSV comparison after the stability test are reported only for the microcrystal, not for the bulk single-crystal electrode. Since the paper claims outstanding OER performance for the bulk single crystal, the absence of a single-crystal stability measurement is a significant gap, and the text should not generalize the microcrystal durability result to the single crystal without supporting data.
minor comments (6)
  1. [Abstract and Introduction] There are several grammatical errors, including 'They serves as catalytic centers', 'electrochemical water spitting', and 'band inversion in topological phase matters bring', which should be corrected.
  2. [Motivation section] The sentence 'we show the band structure in the paramagnetic state without spin-orbital coupling (SOC), as depicted in Figure 1c shows the electronic band structure without inclusion of spin orbital coupling (SOC)' is redundant and should be rewritten.
  3. [Fig. 2c caption] The caption refers to 'Koutecky–Levich plots in O2-saturated 1M KOH solution', but the panel shows a Tafel plot; the caption should be corrected.
  4. [Discussion] The phrase 'ore results indicate' appears to be a typo for 'our results indicate'.
  5. [Tafel comparison paragraph] The statement that Ni foam and Co3Sn2S2 microcrystals have 'much smaller surface areas' than the bulk single crystal appears to be the opposite of the intended meaning; crushed microcrystals and Ni foam should have larger surface areas, and this inconsistency affects the interpretation of the Tafel-slope comparison.
  6. [Discussion] The text says 'previous ARPES measurements confirms' the topological nature of the surface states, but no ARPES data are shown in this manuscript; please provide a specific reference or clarify that the confirmation is from earlier work.

Circularity Check

0 steps flagged · score 0.0 of 10

No circular derivation: the OER measurements and the DFT/TSS calculations are independent, and the TSS-active-site explanation is an untested attribution rather than an equation-level reduction.

full rationale

The paper's claimed chain is: (i) DFT on paramagnetic Co3Sn2S2 gives band inversion, gapped nodal lines, and a nonzero Z2 invariant, yielding Co-derived TSSs about 0.23 eV above the Fermi level; (ii) STM and XPS characterize the cleaved (001) Co Kagome termination; (iii) electrochemistry on the same single crystal gives an overpotential of 300 mV at 10 mA/cm2 and a Tafel slope of 74 mV/dec; (iv) a slab DFT calculation with adsorbed OH shows Co-to-OH charge transfer through 3dz2–O-pσ coupling. No electrochemical datum enters the DFT or Z2 calculation, and no topological or electronic-structure parameter is fitted to the OER curves; the OER performance is an independent measurement. Citations 18 and 19 to the authors' earlier work establish the magnetic Weyl semimetal status and surface Fermi arcs of Co3Sn2S2, but those results concern anomalous Hall transport and topology, not OER, and the present paper explicitly recomputes the band structure, Z2 invariant, and surface states. The statement that 'the unoccupied TSSs of Co provide robust active sites for oxygen evolution' is an interpretation rather than a derived equivalence; the lack of in-situ evidence that the UHV topological surface states survive in 1 M KOH at anodic potentials is a correctness risk, not a circular reduction. No equation or fitted parameter is equivalent by construction to the claimed catalytic output.

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

The mechanistic story depends on several transferable assumptions: that the paramagnetic DFT band structure captures the room-temperature topological character, that the Z2 surface-state calculation is reliable for this material, that the e_g-filling activity descriptor calibrated on oxides applies to the intermetallic shandite, and that the vacuum-cleaved Co-terminated surface persists in alkaline electrolyte under anodic potential. No new physical entities are introduced.

assumptions (4)
  • domain assumption Paramagnetic DFT band structure accurately describes the room-temperature topological band inversion and Z2 character of Co3Sn2S2.
    The calculations are performed for the paramagnetic state to model room temperature, but the material is ferromagnetic below 175 K; the room-temperature topological character is assumed to follow from the zero-temperature band structure.
  • domain assumption The Z2 invariant and Green's function surface-state calculation correctly predict topological surface states on the (001) Co-terminated surface.
    The tight-binding Hamiltonian is derived from DFT and the surface-state method is standard, but the result depends on the exchange-correlation functional and the assumed surface termination.
  • domain assumption The e_g orbital filling activity descriptor calibrated on perovskite oxides (Suntivich et al., Ref 12) transfers to the intermetallic shandite Co3Sn2S2.
    The paper uses half-filled e_g orbitals of surface Co as an activity descriptor; this empirical correlation was established on oxides, and its validity for an intermetallic compound is assumed without direct verification.
  • domain assumption The Co-terminated kagome surface observed after UHV cleavage is the same surface present during electrochemical testing in 1 M KOH.
    STM imaging was performed on vacuum-cleaved crystals at 2 K, while the electrochemical tests used as-grown crystals at room temperature in alkaline electrolyte; no in-situ surface characterization was performed.

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Cite this review

Pith. "Pith review of Surface states in bulk single crystal of topological semimetal Co$_3$Sn$_2$S$_2$ towards water oxidation." pith.science (2026). https://pith.science/paper/HCTZ6ZMB

@misc{pith2026190808567,
  author       = {Pith},
  title        = {Pith review of: Surface states in bulk single crystal of topological semimetal Co$_3$Sn$_2$S$_2$ towards water oxidation},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/HCTZ6ZMB}},
  note         = {Machine review of arXiv:1908.08567}
}
abstract

The band inversion in topological phase matters bring exotic physical properties such as the emergence of a topologically protected surface states. They strongly influence the surface electronic structures of the investigated materials and could serve as a good platform to gain insight into the catalytic mechanism of surface reactions. Here we synthesized high-quality bulk single crystals of the topological semimetal Co$_3$Sn$_2$S$_2$. We found that at room temperature, Co$_3$Sn$_2$S$_2$ naturally hosts the band structure of a topological semimetal. This guarantees the existence of robust surface states from the Co atoms. Bulk single crystal of Co$_3$Sn$_2$S$_2$ exposes their Kagome lattice that constructed by Co atoms and have high electrical conductivity. They serves as catalytic centers for oxygen evolution process (OER), making bonding and electron transfer more efficient due to the partially filled $e_g$ orbital. The bulk single crystal exhibits outstanding OER catalytic performance, although the surface area is much smaller than that of Co-based nanostructured catalysts. Our findings emphasize the importance of tailoring topological non-trivial surface states for the rational design of high-activity electrocatalysts.

Figures

Figures reproduced from arXiv: 1908.08567 by the authors.

Figure 1
Figure 1. Crystal and band structure of bulk single crystal Co3Sn2S2. a. Crystal structure of Co3Sn2S2 obtained from single crystal XRD and the Kagome lattice structure constructed by Co atoms in the a-b plane. b. The 3 D Brillouin zone projected in the (001) direction. Three pairs of nodal lines are shown in the first Brillouin zone. c. Band structure of Co3Sn2S2 in a paramagnetic state without the consideration of SOC effec… view at source ↗
Figure 2
Figure 2. Electrochemical performance of Co3Sn2S2 single crystal catalyst. a. OER polarization curves for Ni foam, Co3Sn2S2 single crystal, and Co3Sn2S2 micro-powder crushed from the single crystal. b. Overpotential of Co3Sn2S2 single crystal catalyst at 10 mA cm-2 compared with some recently reported results for OER electrocatalysts. c. Tafel plot of Ni foam, Co3Sn2S2 single crystal, and Co3Sn2S2 micro-powder Koutecky–Levich… view at source ↗

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