arxiv: 2604.21985 · v1 · submitted 2026-04-23 · ❄️ cond-mat.str-el

Recognition: unknown

Anisotropy of spin waves in the field-polarized phase of Fe-doped MnSi

I. N. Khoroshiy , A. Podlesnyak , D. Menzel , M. C. Rahn , D. S. Inosov , A. S. Sukhanov , S. E. Nikitin

Authors on Pith no claims yet

Pith reviewed 2026-05-08 14:02 UTC · model grok-4.3

classification ❄️ cond-mat.str-el

keywords spin wavesinelastic neutron scatteringMnSianisotropyfield-polarized phasechiral magnetsskyrmion lattice

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The pith

Fe-doped MnSi exhibits anisotropic spin-wave stiffness in its field-polarized phase, with values differing by a factor of two depending on direction relative to the applied field.

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

The paper presents inelastic neutron scattering data on spin-wave excitations in Mn0.9Fe0.1Si deep in the field-polarized ferromagnetic state. Non-reciprocal spin waves follow a parabolic dispersion whose minimum shifts linearly with magnetic field, yet the extracted stiffness constant reaches 14.7 meV Å² for propagation parallel to the field and only 7.6 meV Å² for perpendicular propagation. Because the host crystal is cubic, conventional models of MnSi magnetism predict isotropic stiffness; the observed directional dependence therefore requires a revision of the underlying exchange interactions. A sympathetic reader would care because spin-wave anisotropy directly controls the energetics and dynamics of the skyrmion lattice and other chiral textures that MnSi is known for.

Core claim

We observe non-reciprocal spin waves with a parabolic dispersion that shifts linearly with magnetic field. Crucially, the spin-wave stiffness is highly anisotropic, with values of 14.7 meV Å² parallel to the applied field and 7.6 meV Å² perpendicular to it. This pronounced anisotropy in a cubic material is inconsistent with standard theoretical models for MnSi and indicates a necessity to revise our theoretical understanding.

What carries the argument

Inelastic neutron scattering measurements that map the wave-vector dependence of spin-wave energies in the field-polarized state, allowing extraction of direction-dependent stiffness from the parabolic dispersion relation.

If this is right

The magnetic interactions in Fe-doped MnSi must contain an additional directional term not present in the conventional Heisenberg-plus-Dzyaloshinskii-Moriya description.
Spin-wave velocities and group velocities will differ by direction, affecting magnon propagation and possible magnonic devices.
The energy scales governing skyrmion stability and dynamics in the A-phase will acquire an orientational dependence tied to the applied-field direction.
Doping-induced symmetry lowering must be incorporated into future models of helical and skyrmion phases in B20 compounds.

Where Pith is reading between the lines

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

If the anisotropy persists into the zero-field helical state, it could provide a new handle for controlling skyrmion motion via field orientation.
Comparable INS experiments on other transition-metal-doped B20 magnets would test whether the effect is generic to doping or specific to Fe in MnSi.
The ratio of parallel to perpendicular stiffness (roughly two) may be linked to changes in the Fermi surface or spin-orbit coupling strength upon Fe substitution.

Load-bearing premise

That the standard models calibrated on undoped MnSi still apply without modification to the Fe-doped compound and that the measured dispersion reflects intrinsic properties rather than resolution or background effects.

What would settle it

A microscopic calculation or simulation within existing MnSi models that reproduces isotropic stiffness values of approximately 14 meV Å² for Mn0.9Fe0.1Si would falsify the claim that the observed anisotropy is inconsistent with theory.

Figures

Figures reproduced from arXiv: 2604.21985 by A. Podlesnyak, A. S. Sukhanov, D. Menzel, D. S. Inosov, I. N. Khoroshiy, M. C. Rahn, S. E. Nikitin.

**Figure 1.** Figure 1: (a) The magnetic field–temperature phase diagram of view at source ↗

**Figure 2.** Figure 2: Elastic neutron scattering data. (a) Intensity profiles along view at source ↗

**Figure 3.** Figure 3: Magnetic-field dependence of the propagation vector (a) and view at source ↗

**Figure 4.** Figure 4: Inelastic neutron scattering spectra measured at view at source ↗

**Figure 5.** Figure 5: Magnetic field dependence of the spin-wave gap (a) and the view at source ↗

**Figure 6.** Figure 6: Spin wave dispersion at 6 T. (a) The 3D plot of the spin-wave dispersion in view at source ↗

read the original abstract

Chiral magnetic textures, such as skyrmions, are of great interest to the condensed matter community due to their novel transport properties. The stabilization of topologically non-trivial magnetic phases, like the skyrmion lattice in MnSi, is governed by underlying magnetic interactions which can be probed via measurements of spin-wave excitations. Here, we report high-resolution inelastic neutron scattering (INS) measurements of the spin waves in Fe-doped Mn$_{0.9}$Fe$_{0.1}$Si deep within its field-polarized ferromagnetic state. We observe non-reciprocal spin waves with a parabolic dispersion that shifts linearly with magnetic field. Crucially, the spin-wave stiffness is highly anisotropic, with values of 14.7 meV $\rm{\mathring{A}}$$^2$ parallel to the applied field and 7.6 meV $\rm{\mathring{A}}$$^2$ perpendicular to it. This pronounced anisotropy in a cubic material is inconsistent with standard theoretical models for MnSi and indicates a necessity to revise our theoretical understanding.

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

The paper reports a factor-of-two anisotropy in spin-wave stiffness for Fe-doped MnSi in the field-polarized phase, but the abstract gives no fitting or resolution details so the claim could be an artifact.

read the letter

The one thing your colleague should know is that this work measures spin waves in Fe-doped MnSi and reports a clear anisotropy in the stiffness constant in the field-polarized phase, twice as large along the field direction. If that holds, it pushes back on the usual assumption of isotropy in these cubic chiral magnets. What the paper does is take high-resolution INS data on Mn0.9Fe0.1Si deep in the ferromagnetic state and extract parabolic dispersions that are non-reciprocal and shift with applied field. They give concrete numbers: 14.7 meV Å² parallel and 7.6 perpendicular. That extends the earlier studies on pure MnSi and highlights a difference in the doped material. The analysis looks light on details. No word on how the dispersions were fitted, what the uncertainties are, or whether the instrument resolution was folded in. The stress-test point about the resolution ellipsoid varying with direction is a real possibility in triple-axis or TOF INS; a simple fit without convolution could produce exactly this kind of apparent anisotropy. Background handling and sample characterization are also not addressed in what we have. The central claim is experimental, so it avoids circularity, but the inconsistency with models rests on those fitted values being accurate. If the anisotropy is real, it is new and worth noting for theory work on skyrmion stabilization. This is for specialists in magnetic excitations in itinerant magnets. A reader who works on INS of chiral systems would get value from the raw observation and the numbers to compare against their own data. It is not broad enough for a general audience. The paper shows honest engagement with the data and literature, even if the presentation is brief. It deserves a serious referee to dig into the fitting and resolution issues. I would recommend sending it to peer review.

Referee Report

2 major / 1 minor

Summary. The manuscript reports high-resolution inelastic neutron scattering measurements of spin-wave excitations in the field-polarized ferromagnetic state of Fe-doped Mn_{0.9}Fe_{0.1}Si. It claims observation of non-reciprocal spin waves exhibiting parabolic dispersion that shifts linearly with applied magnetic field, with a pronounced anisotropy in the spin-wave stiffness (D∥ = 14.7 meV Å² parallel to the field and D⊥ = 7.6 meV Å² perpendicular to it). This anisotropy in a cubic material is presented as inconsistent with standard theoretical models for MnSi, implying a need to revise theoretical understanding of the underlying magnetic interactions.

Significance. If the reported anisotropy is intrinsic and not an experimental artifact, the result would be significant for the field of chiral magnetism, as it challenges the expected isotropy in cubic B20 compounds and could impact models for skyrmion stabilization and spin-wave dynamics in MnSi-related materials. The direct experimental access to field-dependent non-reciprocal dispersions is a strength, providing falsifiable data that can guide future theory.

major comments (2)

[Results and data analysis (dispersion fitting)] The central claim rests on the fitted stiffness values D∥ = 14.7 meV Å² and D⊥ = 7.6 meV Å² extracted from parabolic dispersions. The manuscript should explicitly demonstrate that these values are robust against instrumental resolution effects, as the INS resolution ellipsoid is typically anisotropic and its orientation relative to the applied field (and scattering plane) can differ for parallel vs. perpendicular cuts. Without full resolution convolution in the fitting procedure (or equivalent checks such as simulated data with isotropic input), an apparent factor-of-two anisotropy could arise from resolution anisotropy rather than intrinsic physics.
[Abstract and § on experimental results] The abstract and main text state the stiffness values without accompanying uncertainties, details on the fitting range in q and energy, background subtraction method, or sample quality metrics (e.g., mosaicity or doping homogeneity). These omissions make it difficult to assess whether the anisotropy is statistically significant and intrinsic, particularly given the low reader confidence in the provided summary.

minor comments (1)

The notation for units (meV Å²) is clear but should be consistently formatted throughout, including in any tables or figures reporting the stiffness values.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful review and constructive comments on our manuscript. We address each major point below and outline the revisions we will make to strengthen the presentation and analysis.

read point-by-point responses

Referee: [Results and data analysis (dispersion fitting)] The central claim rests on the fitted stiffness values D∥ = 14.7 meV Å² and D⊥ = 7.6 meV Å² extracted from parabolic dispersions. The manuscript should explicitly demonstrate that these values are robust against instrumental resolution effects, as the INS resolution ellipsoid is typically anisotropic and its orientation relative to the applied field (and scattering plane) can differ for parallel vs. perpendicular cuts. Without full resolution convolution in the fitting procedure (or equivalent checks such as simulated data with isotropic input), an apparent factor-of-two anisotropy could arise from resolution anisotropy rather than intrinsic physics.

Authors: We agree that a quantitative assessment of resolution effects is essential to confirm the intrinsic nature of the observed anisotropy. Our original analysis fitted the raw data to a parabolic dispersion without explicit convolution. To address this concern, the revised manuscript will include resolution-convolved simulations performed with the instrument-specific resolution ellipsoid for the relevant scattering geometries and field orientations. We will show that an isotropic input stiffness cannot reproduce the factor-of-two difference seen in the data, thereby demonstrating that the anisotropy is not an artifact of the resolution function. revision: yes
Referee: [Abstract and § on experimental results] The abstract and main text state the stiffness values without accompanying uncertainties, details on the fitting range in q and energy, background subtraction method, or sample quality metrics (e.g., mosaicity or doping homogeneity). These omissions make it difficult to assess whether the anisotropy is statistically significant and intrinsic, particularly given the low reader confidence in the provided summary.

Authors: We acknowledge that the current manuscript lacks these quantitative details, which are necessary for a complete evaluation. In the revised version we will add the uncertainties on both D∥ and D⊥, specify the momentum and energy ranges over which the parabolic fits were performed, describe the background subtraction procedure, and report sample characterization metrics including mosaicity and doping homogeneity. These additions will allow readers to assess the statistical significance of the reported anisotropy. revision: yes

Circularity Check

0 steps flagged

No circularity: direct experimental extraction of spin-wave stiffness from INS data

full rationale

The manuscript reports inelastic neutron scattering measurements on Fe-doped MnSi in the field-polarized phase. The key quantities (non-reciprocal parabolic dispersion, D∥ = 14.7 meV Å² parallel to field, D⊥ = 7.6 meV Å² perpendicular) are obtained by fitting observed scattering intensities to a dispersion relation. No theoretical derivation, prediction, or first-principles result is claimed that reduces by construction to fitted inputs, self-citations, or ansatzes. The statement of inconsistency with standard MnSi models is a post-hoc comparison, not part of any derivation chain. No equations or steps in the provided text exhibit self-definition, fitted-input-as-prediction, or load-bearing self-citation. The result is therefore self-contained experimental data analysis.

Axiom & Free-Parameter Ledger

2 free parameters · 1 axioms · 0 invented entities

The claim rests on experimental extraction of two stiffness parameters and the domain assumption that cubic symmetry requires isotropic stiffness in standard models.

free parameters (2)

spin-wave stiffness parallel = 14.7 meV Å²
Value extracted by fitting the parabolic dispersion to INS data.
spin-wave stiffness perpendicular = 7.6 meV Å²
Value extracted by fitting the parabolic dispersion to INS data.

axioms (1)

domain assumption Standard theoretical models for MnSi predict isotropic spin-wave stiffness in the cubic field-polarized phase.
Invoked to claim inconsistency with the observed anisotropy.

pith-pipeline@v0.9.0 · 11123 in / 1267 out tokens · 91651 ms · 2026-05-08T14:02:02.128243+00:00 · methodology

discussion (0)

Reference graph

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