Electron-doped magnetic Weyl semimetal LixCo3Sn2S2 by bulk-gating

Hideki Matsuoka; Ryotaro Arita; Susumu Minami; Takashi Koretsune; Yoshihiro Iwasa; Yoshinori Tokura; Yukako Fujishiro

arxiv: 2312.17547 · v1 · submitted 2023-12-29 · ❄️ cond-mat.mtrl-sci

Electron-doped magnetic Weyl semimetal LixCo3Sn2S2 by bulk-gating

Hideki Matsuoka , Yukako Fujishiro , Susumu Minami , Takashi Koretsune , Ryotaro Arita , Yoshinori Tokura , Yoshihiro Iwasa This is my paper

Pith reviewed 2026-05-24 05:03 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci

keywords magnetic Weyl semimetallithium intercalationbulk gatinganomalous Hall conductivitykagome latticeelectron dopingFIB microdevicerigid band shift

0 comments

The pith

Gate-driven Li intercalation in a FIB microdevice of Co3Sn2S2 creates electron-doped LixCo3Sn2S2 with Fermi shift of 200 meV while keeping the kagome lattice and Curie temperature unchanged.

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

The paper applies ionic gating to a bulk-derived microdevice of the magnetic Weyl semimetal Co3Sn2S2 to intercalate lithium ions, producing the phase LixCo3Sn2S2 with electron doping above 5 times 10 to the 21 per cubic centimeter. This doping shifts the Fermi energy by 200 meV and produces anomalous Hall conductivity values that track density functional theory calculations as carrier density changes. The calculations indicate that Li+ ions stabilize inside the anion layer without breaking the kagome lattice, which accounts for the rigid-band shift and the unchanged Curie temperature observed in experiment. The approach therefore demonstrates carrier tuning in a non-layered bulk crystal that preserves the underlying magnetic order.

Core claim

Fabrication of a Co3Sn2S2 microdevice by focused ion beam enables gate-controlled lithium intercalation that forms LixCo3Sn2S2 with electron density exceeding 5 times 10^21 cm^{-3} and a 200 meV Fermi-level shift. The measured carrier-density dependence of the anomalous Hall conductivity matches density-functional-theory results, which further predict that the intercalated Li+ ions remain stabilized within the anion layer while the kagome lattice stays intact. This structural feature produces the observed rigid-band behavior and constant Curie temperature, in contrast to the changes seen when magnetic atoms are substituted.

What carries the argument

Li+ ion stabilization inside the anion layer of the intact kagome lattice, which produces rigid-band electron doping.

If this is right

Carrier density in bulk magnetic Weyl semimetals can be tuned continuously without thin-film or van-der-Waals restrictions.
Anomalous Hall conductivity follows density-functional-theory predictions across a wide doping window.
Magnetic transition temperature stays fixed while the Fermi level moves 200 meV.
Anion-layer placement of intercalants avoids the disorder introduced by magnetic-site substitution.

Where Pith is reading between the lines

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

The same FIB-plus-ionic-gating route could be tested on other non-layered topological magnets to map their doping phase diagrams.
If the anion-layer stabilization holds, the method separates electronic doping effects from magnetic-order changes in future experiments.
Transport signatures of Weyl nodes could be tracked across the observed 200 meV window while the magnetic order parameter remains constant.

Load-bearing premise

Lithium intercalation occurs uniformly across the FIB device and leaves the kagome lattice undisrupted in the real material.

What would settle it

Direct structural measurement showing Li ions outside the anion layer or clear lattice disorder accompanied by a changed Curie temperature would falsify the rigid-band stabilization claim.

read the original abstract

Manipulating carrier density through gate effects, both in electrostatic charge storage and electrochemical intercalation mode, offers powerful control over material properties, although commonly restricted to ultra-thin films or van der Waals materials. Here we demonstrate the application of gate-driven carrier modulation in the microdevice of magnetic Weyl semimetal Co3Sn2S2, fabricated from a bulk single crystal via focused ion beam (FIB). We discovered a Li-intercalated phase LixCo3Sn2S2 featuring electron doping exceeding 5*1021 cm-3, resulting in the Fermi energy shift of 200 meV. The carrier density dependent anomalous Hall conductivity shows fair agreement with density functional theory (DFT) calculation, which also predicts intercalated Li+ ion stabilization within the anion layer while maintaining the kagome-lattice intact. This likely explains the observed rigid band behavior and constant Curie temperature, contrasting with magnetic site substitution experiments. Our findings suggest ionic gating on FIB devices broadens the scope of gate-tuning 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.

Desk Editor's Note private letter to a colleague

They achieve high electron doping in bulk Co3Sn2S2 crystals via Li intercalation in FIB devices, with AHC tracking DFT and constant Tc, but the Li anion-layer site and rigid-band explanation rest only on theory without structural checks.

read the letter

The main takeaway is that this work applies ionic gating with Li to FIB-cut microdevices from Co3Sn2S2 single crystals, producing an electron-doped LixCo3Sn2S2 phase with carrier densities above 5×10^21 cm^{-3} and a 200 meV Fermi shift. The anomalous Hall conductivity versus doping tracks the DFT curves, and the Curie temperature stays constant, which the calculations link to Li sitting in the anion layer while leaving the kagome lattice intact. This contrasts with substitution experiments where magnetism changes. That combination is new: gate control of this kind had been limited to thin films or van der Waals stacks, so extending it to a bulk magnetic Weyl semimetal is a concrete step forward. The device fabrication and transport data are presented clearly enough to show the doping effect is real and reproducible at the reported levels. The DFT comparison on the Hall response is a reasonable check on the rigid-band picture. The soft spot is the interpretation of the constant Tc. It hinges on the DFT prediction of the Li site and preserved lattice, yet the abstract and available details give no post-gating diffraction, spectroscopy, or local probe data from the actual FIB device to confirm Li occupancy or rule out inhomogeneity, strain, or partial disorder. FIB intercalation is known to be uneven, and transport agreement alone cannot distinguish the ideal scenario from alternatives that might preserve Tc by coincidence. The “fair agreement” with DFT is stated without error bars, fit metrics, or raw data summaries, which leaves the strength of the match unclear. This paper is for groups working on gate-tunable topological magnets or carrier-density experiments in kagome systems. A reader already studying Co3Sn2S2 or similar FIB gating methods will find the doping levels and device approach useful. It deserves peer review because the experimental route is novel and the transport results are worth referee scrutiny, even if the structural side of the story needs strengthening.

Referee Report

2 major / 2 minor

Summary. The manuscript reports the use of focused-ion-beam (FIB) microdevices fabricated from bulk Co3Sn2S2 single crystals to achieve Li intercalation via ionic gating, reaching electron doping levels >5×10^21 cm^{-3} and a Fermi-energy shift of ~200 meV. The carrier-density dependence of the anomalous Hall conductivity is stated to show fair agreement with DFT calculations; the same DFT predicts Li+ stabilization in the anion layer while leaving the kagome lattice intact, which is invoked to explain the observed rigid-band behavior and unchanged Curie temperature (in contrast to magnetic-site substitution).

Significance. If the structural model is validated, the work demonstrates a route to carrier-density tuning in non-vdW bulk crystals of magnetic Weyl semimetals, extending ionic-gating methods beyond thin films and providing a platform to test doping effects on topological transport while preserving magnetic order.

major comments (2)

[Abstract / DFT interpretation section] Abstract and the section presenting the DFT interpretation: the central claim that rigid-band behavior and constant Tc arise because Li+ occupies the anion layer (preserving the kagome lattice) rests on DFT predictions without any post-gating structural data (diffraction, local spectroscopy, or site-specific probes) on the actual FIB device. Transport agreement alone cannot distinguish this scenario from alternatives such as inhomogeneous intercalation, beam-induced defects, or partial substitution that could coincidentally maintain Tc.
[Abstract] Abstract: the statement that the AHC shows 'fair agreement' with DFT is presented without quantitative metrics (e.g., RMS deviation, R², or error bars on the experimental points), raw data, or details on device-to-device uniformity, making it impossible to assess how load-bearing the agreement is for the rigid-band conclusion.

minor comments (2)

[Methods / Device fabrication] The manuscript should clarify the FIB fabrication parameters and any post-fabrication annealing or characterization steps that address potential beam-induced damage or inhomogeneity.
[Figures and associated text] Figure captions and text should explicitly state the number of devices measured and the criteria used to select data for the AHC vs. carrier-density plot.

Simulated Author's Rebuttal

2 responses · 1 unresolved

We thank the referee for the constructive comments, which help clarify the presentation and limitations of our work. We address each major comment below.

read point-by-point responses

Referee: [Abstract / DFT interpretation section] Abstract and the section presenting the DFT interpretation: the central claim that rigid-band behavior and constant Tc arise because Li+ occupies the anion layer (preserving the kagome lattice) rests on DFT predictions without any post-gating structural data (diffraction, local spectroscopy, or site-specific probes) on the actual FIB device. Transport agreement alone cannot distinguish this scenario from alternatives such as inhomogeneous intercalation, beam-induced defects, or partial substitution that could coincidentally maintain Tc.

Authors: We agree that direct post-gating structural probes on the FIB microdevice would provide the strongest confirmation of Li site preference. Such measurements are experimentally demanding on these micron-scale devices and were not performed in the present study. Our interpretation instead rests on the consistency between three observations: the rigid-band Fermi-level shift extracted from transport matches the DFT-predicted electron doping for the measured Li content; the Curie temperature remains unchanged, in contrast to Co-site substitution experiments; and DFT finds the anion-layer site to be energetically favored while preserving the kagome lattice. We will revise the abstract and discussion sections to state that the anion-layer model is a DFT-supported interpretation consistent with the transport data, rather than a claim of direct structural proof, and will explicitly note possible alternative scenarios and the need for future local probes. revision: partial
Referee: [Abstract] Abstract: the statement that the AHC shows 'fair agreement' with DFT is presented without quantitative metrics (e.g., RMS deviation, R², or error bars on the experimental points), raw data, or details on device-to-device uniformity, making it impossible to assess how load-bearing the agreement is for the rigid-band conclusion.

Authors: We accept this criticism. The revised manuscript will include quantitative measures of agreement (RMS deviation and R²) between the measured anomalous Hall conductivity and the DFT curve, error bars on all experimental carrier-density and AHC points, and statistics on device-to-device reproducibility. Raw transport curves and the fitting procedure used to extract carrier density will be added to the supplementary information. revision: yes

standing simulated objections not resolved

Absence of post-gating structural data (diffraction or local spectroscopy) on the actual FIB devices to directly confirm Li site occupancy.

Circularity Check

0 steps flagged

No significant circularity; derivation relies on independent experiment and DFT.

full rationale

The paper reports experimental carrier density and anomalous Hall conductivity data from FIB-gated devices, then compares them to separate DFT calculations that predict Li+ site occupancy and rigid-band shifts. These DFT results are first-principles computations, not fitted to the present transport data or reduced to self-citations. No equations are shown that define a quantity in terms of itself, rename a fit as a prediction, or import uniqueness via author-overlapping citations. The constant-Tc observation and contrast with substitution experiments are presented as empirical findings supported by the DFT interpretation, without the central claim collapsing to a definitional loop or statistical forcing. The derivation chain is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the validity of DFT for predicting Li stabilization and on the assumption of uniform intercalation in the microdevice; no free parameters or new entities are introduced beyond the experimental phase.

axioms (1)

domain assumption DFT calculations correctly predict Li+ ion position in the anion layer and preservation of the kagome lattice upon intercalation.
Invoked to explain rigid band behavior and constant Curie temperature; location: abstract description of DFT results.

pith-pipeline@v0.9.0 · 5742 in / 1349 out tokens · 21984 ms · 2026-05-24T05:03:35.008919+00:00 · methodology

discussion (0)

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 carrier density dependent anomalous Hall conductivity shows fair agreement with density functional theory (DFT) calculation, which also predicts intercalated Li+ ion stabilization within the anion layer while maintaining the kagome-lattice intact. This likely explains the observed rigid band behavior and constant Curie temperature.
IndisputableMonolith/Foundation/DimensionForcing.lean alexander_duality_circle_linking unclear

?

unclear
Relation between the paper passage and the cited Recognition theorem.

TC is almost independent of carrier density for all the devices and gate voltages.

What do these tags mean?

matches: The paper's claim is directly supported by a theorem in the formal canon.
supports: The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends: The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses: The paper appears to rely on the theorem as machinery.
contradicts: The paper's claim conflicts with a theorem or certificate in the canon.
unclear: Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

Works this paper leans on

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Liu, E. et al. Giant anomalous Hall effect in a ferromagnetic Kagomé-lattice semimetal. Nat. Phys. 14, 1125–1131 (2018)

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Wang, Q. et al. Large intrinsic anomalous Hall effect in half-metallic ferromagnet Co3Sn2S2 with magnetic Weyl fermions. Nat. Commun. 9, 3681 (2018)

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Liu, D. F. et al. Magnetic Weyl semimetal phase in a Kagomé crystal. Science 365, 1282–1285 (2019)

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Thakur, G. S. et al. Intrinsic Anomalous Hall Effect in Ni-Substituted Magnetic Weyl Semimetal Co3Sn2S2. Chem. Mater. 32, 1612–1617 (2020)

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Shen, J. et al. Local Disorder-Induced Elevation of Intrinsic Anomalous Hall Conductance in an Electron-Doped Magnetic Weyl Semimetal. Phys. Rev. Lett. 125, 086602 (2020)

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Guguchia, Z. et al. Multiple quantum phase transitions of different nature in the topological kagome magnet Co3Sn2−xInxS2. npj Quantum Materials 6, 1–8 (2021). 13

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Shen, J. et al. Intrinsically enhanced anomalous Hall conductivity and Hall angle in Sb-doped magnetic Weyl semimetal Co3Sn2S2. APL Mater. 10, 090705 (2022)

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Li, Y . et al. Electron Doping and Physical Properties in the Ferromagnetic Semimetal Co3Sn2–xSbxS2. J. Phys. Chem. C 126, 7230–7237 (2022)

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Lau, Y .-C. et al. Intercorrelated anomalous Hall and spin Hall effect in kagome- lattice Co3Sn2S2-based shandite films. Phys. Rev. B Condens. Matter 108, 064429 (2023)

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& Izumi, F

Momma, K. & Izumi, F. VESTA 3 for three-dimensional visualization of crystal, volumetric and morphology data. J. Appl. Crystallogr. 44, 1272–1276 (2011)

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Tanaka, M. et al. Topological Kagome Magnet Co 3Sn2S2 Thin Flakes with High Electron Mobility and Large Anomalous Hall Effect. Nano Lett. 20, 7476 –7481 (2020). 14

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Kresse, G & Furthmüller, J. Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set. Comput. Mater. Sci. 6, 15-50 (1996)

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Kresse, G & Furthmüller, J. Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set, Phys. Rev. B Condens. Matter 54, 11169 (1996)

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From ultrasoft pseudopotentials to the projector augmented-wave method, Phys

Kresse, G & Furthmüller, J. From ultrasoft pseudopotentials to the projector augmented-wave method, Phys. Rev. B Condens. Matter 59, 1758 (1999)

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Rationale for mixing exact exchange with density functional approximations, J

Perdew, J.-P., Ernzerhof, M, & Burke, K. Rationale for mixing exact exchange with density functional approximations, J. Chem. Phys. 105, 9982-9985 (1996). Methods Bulk sample fabrication and sample characterization. Single crystalline samples of Co3Sn2S2 were prepared by the Bridgman method. First, Co, Sn, and S were mixed in a stoichiometric ratio and th...

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