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REVIEW 2 major objections 1 minor 73 references

Topological Hall plateau in quasi-2D kagome magnet YMn$_6$Sn$_6$

T0 review · 2 major / 1 minor · reviewed 2026-07-02 · grok-4.3

Pith's one-line read Disordered skyrmions in YMn6Sn6 generate a topological Hall plateau for fields below 0.5 T.

desk verdict The paper predicts a topological Hall plateau in YMn6Sn6 from a disordered skyrmion phase with uniform chirality, but the simulation parameters and checks are missing so the claim rests on unshown details. read the letter →

arxiv 2607.00150 v1 pith:K6JOP563 submitted 2026-06-30 cond-mat.mtrl-sci

classification cond-mat.mtrl-sci
keywords topologicalHalleffectdisorderedskyrmionskagomemagnetDzyaloshinskii-MoriyainteractionBerrycurvaturescalarspinchiralityYMn6Sn6magnons
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 examines how Dzyaloshinskii-Moriya interaction shapes spin textures in the quasi-2D kagome magnet YMn6Sn6. A mainly planar DMI combined with ferromagnetic exchange stabilizes a disordered skyrmion phase that survives at low external fields. This phase produces a topological Hall plateau between -0.5 and 0.5 T because nearly uniform scalar spin chirality creates constant real-space Berry curvature. The plateau magnitude and sign depend on Hund's coupling strength and chemical potential near Dirac points and van Hove singularities. The work also finds topological magnon excitations in the same phase.

What carries the argument

The disordered skyrmion phase stabilized by predominantly planar DMI and ferromagnetic exchange, which produces nearly uniform scalar spin chirality and constant real-space Berry curvature.

What would settle it

Experimental measurement showing no Hall resistivity plateau or spatially varying Berry curvature in YMn6Sn6 for fields below 0.5 T would falsify the proposed mechanism.

Watch

Extended reading notes

Core claim

Within an ab initio framework combining density functional theory and spin-dynamics simulations, realistic spin textures show a disordered skyrmion phase in YMn6Sn6 that persists for Bext < 0.5 T, with skyrmion size decreasing as the field increases. This phase exhibits a topological Hall plateau in the range −0.5 ≤ Bext < 0.5 T driven by nearly uniform scalar spin chirality and the resulting constant real-space Berry curvature. The response is antisymmetric with magnetic field while its magnitude and sign are determined by the interplay between Hund's coupling strength and chemical potential, signifying the role of Dirac points and van Hove singularities. Topological magnon excitations also

Load-bearing premise

A predominantly planar DMI together with ferromagnetic exchange stabilizes a disordered skyrmion phase that persists for Bext < 0.5 T.

Editorial extensions

If this is right

  • The topological Hall response is antisymmetric with magnetic field.
  • Magnitude and sign of the plateau are set by Hund's coupling strength and chemical potential.
  • Dirac points and van Hove singularities influence the Hall response.
  • Topological magnon excitations exist in the disordered skyrmion phase.

Reading between the lines

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

  • Doping experiments that shift chemical potential could switch the sign of the Hall plateau.
  • Similar kagome magnets with planar DMI may host comparable skyrmion phases at accessible fields.
  • Constant Berry curvature from uniform chirality could support robust topological transport if the phase remains stable at higher temperatures.
  • Magnon spectroscopy on the material could test the predicted topological magnon modes.
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Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

2 major / 1 minor

Summary. The manuscript examines the Dzyaloshinskii-Moriya interaction in the quasi-2D kagome magnet YMn₆Sn₆ and claims that a predominantly planar DMI combined with ferromagnetic exchange stabilizes a disordered skyrmion phase. Within an ab initio DFT plus spin-dynamics framework, the authors generate spin textures showing that this phase persists for B_ext < 0.5 T with decreasing skyrmion size, producing a topological Hall plateau in −0.5 ≤ B_ext < 0.5 T driven by nearly uniform scalar spin chirality and constant real-space Berry curvature. The plateau is reported to be anti-symmetric in field, with its magnitude and sign set by an interplay between Hund's coupling and chemical potential; the work additionally identifies topological magnon excitations in the disordered skyrmion phase.

Significance. If the simulation results are robust, the work supplies a concrete microscopic mechanism linking disordered skyrmion textures to a field-independent topological Hall response in a kagome system, together with an explicit connection to electronic-structure features such as Dirac points and van Hove singularities. This adds a useful example to the literature on real-space Berry curvature in frustrated magnets and could inform design of field-robust Hall sensors or spintronic elements.

major comments (2)
  1. [Abstract] Abstract: the central claim that the disordered skyrmion phase persists for B_ext < 0.5 T with nearly uniform scalar spin chirality rests on an ab initio DFT + spin-dynamics workflow, yet the manuscript supplies no numerical values for the DMI vector components, exchange constants, temperature, supercell size, damping parameter, or field-sweep protocol used to generate and stabilize the textures.
  2. [Abstract] Abstract: no error bars, convergence tests with respect to supercell size or time step, or direct comparison of the simulated spin textures or Hall conductivity against existing experimental data on YMn₆Sn₆ are reported, leaving the uniformity of the scalar spin chirality and the resulting constant Berry curvature unvalidated.
minor comments (1)
  1. Notation for the external field (B_ext) versus any internal or effective fields appearing in the spin-dynamics equations should be made explicit to avoid ambiguity when discussing the anti-symmetry of the plateau.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading of our manuscript and for highlighting points that improve clarity and reproducibility. We respond to each major comment below and indicate where revisions will be made.

read point-by-point responses
  1. Referee: [Abstract] Abstract: the central claim that the disordered skyrmion phase persists for B_ext < 0.5 T with nearly uniform scalar spin chirality rests on an ab initio DFT + spin-dynamics workflow, yet the manuscript supplies no numerical values for the DMI vector components, exchange constants, temperature, supercell size, damping parameter, or field-sweep protocol used to generate and stabilize the textures.

    Authors: We agree that explicit numerical values are required for full reproducibility. Although the Methods section of the manuscript describes the DFT and spin-dynamics setup, the abstract and main text do not list the concrete parameters. In the revised version we will add a concise summary of the DMI vector components, exchange constants, temperature, supercell size, damping parameter, and field-sweep protocol, either in an expanded abstract or in a dedicated “Computational Details” paragraph. revision: yes

  2. Referee: [Abstract] Abstract: no error bars, convergence tests with respect to supercell size or time step, or direct comparison of the simulated spin textures or Hall conductivity against existing experimental data on YMn₆Sn₆ are reported, leaving the uniformity of the scalar spin chirality and the resulting constant Berry curvature unvalidated.

    Authors: We accept that convergence tests and error estimates strengthen the claims. We will perform and report additional convergence checks with respect to supercell size and time step, and will include error bars on the scalar spin chirality and Hall conductivity. Direct quantitative comparison of the simulated textures and Hall conductivity to published experimental data on YMn₆Sn₆ is not currently available in the manuscript; we will add a qualitative discussion of consistency with existing topological Hall measurements in related kagome compounds, but a full experimental benchmark would require new collaborative work. revision: partial

Circularity Check

0 steps flagged · score 0.0 of 10

No circularity: Hall plateau obtained from explicit DFT + spin-dynamics simulations

full rationale

The paper derives the topological Hall plateau by first using DFT to obtain exchange and DMI parameters, then running spin-dynamics simulations to produce disordered skyrmion textures, and finally computing real-space Berry curvature and Hall conductivity from those textures. This chain is not self-definitional, does not rename a fitted input as a prediction, and contains no load-bearing self-citation or ansatz smuggling. The result is an output of the simulation workflow rather than an algebraic identity with its inputs.

Assumptions & free parameters 0 free parameters · 1 assumptions · 0 invented entities

The central claim rests on the domain assumption that planar DMI plus ferromagnetic exchange produces the disordered skyrmion textures whose chirality directly sets the Berry curvature; no free parameters are explicitly fitted in the abstract, and no new entities are postulated.

assumptions (1)
  • domain assumption A predominantly planar DMI together with ferromagnetic exchange stabilizes a disordered skyrmion phase in quasi-2D YMn6Sn6 that persists for Bext < 0.5 T.
    This premise is invoked in the first sentence to generate the spin textures used for all subsequent Hall calculations.

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Cite this review

Pith. "Pith review of Topological Hall plateau in quasi-2D kagome magnet YMn$_6$Sn$_6$." pith.science (2026). https://pith.science/paper/K6JOP563

@misc{pith2026260700150,
  author       = {Pith},
  title        = {Pith review of: Topological Hall plateau in quasi-2D kagome magnet YMn$_6$Sn$_6$},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/K6JOP563}},
  note         = {Machine review of arXiv:2607.00150}
}
abstract

We examine the impact of the Dzyaloshinskii-Moriya interaction (DMI) in kagome magnets and show that a predominantly planar DMI together with ferromagnetic exchange stabilizes a disordered skyrmion phase in quasi-two-dimensional (2D) YMn$_6$Sn$_6$. Within an ab initio framework combining density functional theory and spin-dynamics simulations, we generate realistic spin textures of disordered skyrmion and find that this phase persists for $B_{ext} < 0.5$ T, with a decreasing skyrmion size as magnetic field increases. We demonstrate the emergence of topological Hall plateau in the range $-0.5 \leq B_{ext} < 0.5$ T, driven by nearly uniform scalar spin chirality and the resulting constant real-space Berry curvature. This response is anti-symmetric with magnetic field while magnitude and sign of these plateau are determined by a complex interplay between Hund's coupling strength and chemical potential signifying the role of Dirac points and van Hove singularities. In addition, we reveal topological magnon excitations in the disordered skyrmion phase of quasi-2D YMn$_6$Sn$_6$.

Figures

Figures reproduced from arXiv: 2607.00150 by the authors.

Figure 1
Figure 1. FIG. 1. (a) Planar and (b) bulk Dzyaloshinskii–Moriya In [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. FIG. 2. (a) Crystal structure of quasi-2D YMn [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. FIG. 3. Effect of external magnetic field on disordered [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
Figures from the paper (3 more)
Figure 4
Figure 4. Figure 4: FIG. 4. Intensity maps of the dynamical structure factor [PITH_FULL_IMAGE:figures/full_fig_p003_4.png]
Figure 5
Figure 5. Figure 5: FIG. 5. (a) Spin textures at six representative [PITH_FULL_IMAGE:figures/full_fig_p005_5.png]
Figure 6
Figure 6. Figure 6: FIG. 6. (a) Adiabatic magnon spectrum and (b) dynamical [PITH_FULL_IMAGE:figures/full_fig_p005_6.png]

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Reference graph

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