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arxiv: 2511.16086 · v2 · pith:SVM6XDT5new · submitted 2025-11-20 · ❄️ cond-mat.mtrl-sci · cond-mat.str-el

Coherent high-velocity chiral magnons in the metallic altermagnet CrSb

Ashutosh K. Singh , Niclas Heinsdorf , Abraham A. Mancilla , J\"orn Bannies , Avishek Maity , Alexander I. Kolesnikov , Masaaki Matsuda , Matthew B. Stone
show 3 more authors
Marcel Franz Jonathan Gaudet Alannah M. Hallas
This is my paper

Pith reviewed 2026-05-17 21:14 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci cond-mat.str-el
keywords CrSbaltermagnetmagnonschiral spin splittingneutron scatteringspin wavesmetallic altermagnetIsing anisotropy
0
0 comments X

The pith

Metallic altermagnet CrSb displays chiral spin splitting in its magnon spectrum along the Γ-L direction.

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

The paper demonstrates that CrSb orders as a compensated Ising altermagnet at a high Néel temperature of 733 K. Inelastic neutron scattering detects coherent antiferromagnetic spin waves that disperse rapidly, reaching group velocities near 60 km per second in multiple directions. These waves are modeled successfully with a basic Heisenberg Hamiltonian involving alternating ferromagnetic and antiferromagnetic couplings up to the third neighbor plus a small anisotropy. The central advance is the detection of momentum-dependent chiral splitting in the magnon bands specifically along the Γ to L path, which signals the presence of higher-order altermagnetic interactions. This combination positions CrSb as a practical material for spin-based technologies operating at elevated temperatures.

Core claim

CrSb is a perfectly compensated Ising altermagnet below 733 K. Polarized neutron diffraction confirms the magnetic structure, while inelastic scattering maps out coherent, highly dispersive magnons with velocities of 61 km/s in-plane and 58 km/s out-of-plane. The dispersions along high-symmetry lines are reproduced by a minimal model with J1 = 23 meV (AFM), J2 = -5.4 meV (FM), J3 = 5.2 meV (AFM), and D = 0.15 meV. Along the Γ-L line, distinct signatures of chiral spin splitting appear, arising from higher-order altermagnetic exchange and constituting the first such report in a metallic altermagnet.

What carries the argument

higher-order altermagnetic exchange interactions producing chiral spin splitting in the magnon dispersion along the Γ-L direction

If this is right

  • Coherent magnons with large velocities exist well above room temperature in this metallic altermagnet.
  • The material provides a platform for spintronic applications based on spin-split magnons.
  • The minimal Heisenberg model with third-neighbor alternating interactions describes the observed dispersions along high-symmetry directions.
  • Chiral splitting is a direct consequence of the altermagnetic order in this system.

Where Pith is reading between the lines

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

  • The high magnon velocities could support fast information transfer in magnonic devices without requiring external fields due to the compensated nature.
  • Similar chiral effects may appear in other metallic altermagnets once low-symmetry paths are probed with inelastic scattering.

Load-bearing premise

That the magnon dispersions are fully and accurately described by the minimal third-nearest-neighbor Heisenberg model with alternating signs and small Ising anisotropy without needing itinerant electron effects or higher-order terms.

What would settle it

A calculation or measurement that shows the observed splitting along Γ-L can be reproduced without invoking higher-order altermagnetic exchange, or that the high-symmetry dispersions require additional interaction terms beyond the proposed minimal model.

Figures

Figures reproduced from arXiv: 2511.16086 by Abraham A. Mancilla, Alannah M. Hallas, Alexander I. Kolesnikov, Ashutosh K. Singh, Avishek Maity, Jonathan Gaudet, J\"orn Bannies, Marcel Franz, Masaaki Matsuda, Matthew B. Stone, Niclas Heinsdorf.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3 [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
read the original abstract

We report the collective magnetism of the metallic altermagnet CrSb. Magnetic susceptibility and polarized neutron diffraction measurements show that CrSb is a perfectly compensated Ising altermagnet below a N\'eel temperature of $T_N = 733(4)$ K. Inelastic neutron scattering experiments reveal coherent and highly-dispersive antiferromagnetic spin waves with large group velocities of 61(2) km s$^{-1}$ and 58(2) km s$^{-1}$ along the in-plane and out-of-plane directions, respectively. The observed magnon dispersions along high-symmetry directions of the Brillouin zone are well described by a minimal Heisenberg model up to third nearest neighbors of alternating antiferromagnetic and ferromagnetic character, $J_1 = 23(4)$ meV, $J_2 = -5.4(8)$ meV, $J_3 = 5.2(8)$ meV, and an Ising single-ion anisotropy term $D = 0.15(4)$ meV. We observe clear momentum space signatures of chiral spin splitting along the low-symmetry $\Gamma$-$L$ direction, characteristic of higher-order altermagnetic exchange interactions, the first such observation in a metallic altermagnet. These findings identify CrSb as a singular material: a metallic altermagnet in which coherent spin-split magnons persist well above room temperature, providing a compelling platform for spintronic applications.

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.

Referee Report

2 major / 2 minor

Summary. The manuscript reports that CrSb is a perfectly compensated Ising altermagnet with TN = 733(4) K, confirmed via magnetic susceptibility and polarized neutron diffraction. Inelastic neutron scattering shows coherent, highly dispersive antiferromagnetic magnons with group velocities of 61(2) km s^{-1} (in-plane) and 58(2) km s^{-1} (out-of-plane). These dispersions along high-symmetry Brillouin zone directions are fitted to a minimal Heisenberg model limited to third-nearest-neighbor interactions of alternating sign (J1 = 23(4) meV, J2 = -5.4(8) meV, J3 = 5.2(8) meV) plus a small Ising anisotropy D = 0.15(4) meV. Clear momentum-space signatures of chiral spin splitting are observed along the low-symmetry Γ-L direction and attributed to higher-order altermagnetic exchange interactions, presented as the first such observation in a metallic altermagnet.

Significance. If the experimental observations and model interpretation hold, the work identifies CrSb as a metallic altermagnet supporting coherent, high-velocity spin-split magnons well above room temperature, which would provide a compelling platform for spintronic applications. Credit is due for the use of complementary techniques (susceptibility, polarized neutron diffraction, and inelastic scattering) that together support the compensated altermagnetic order and the reported magnon dispersions. The direct experimental identification of chiral splitting along Γ-L is a notable result.

major comments (2)
  1. [Abstract and inelastic neutron scattering results] Abstract and the inelastic neutron scattering section: The claim that high-symmetry dispersions are 'well described' by the minimal local-moment Heisenberg model with the listed J1, J2, J3, and D values is load-bearing for attributing the observed Γ-L chiral splitting solely to higher-order altermagnetic exchange. In a metallic system such as CrSb, the manuscript does not discuss or rule out possible itinerant-electron renormalization, Stoner excitations, or Landau damping that could modify effective exchanges or broaden modes, potentially affecting both the velocity values and the assignment of the splitting.
  2. [Abstract] Abstract: The fitted parameters are reported with uncertainties (e.g., J1 = 23(4) meV), but no details are provided on the fitting procedure, χ² values, number of data points, or tests of alternative models that include longer-range or conduction-electron-mediated terms. This omission weakens the justification for the minimal model as uniquely appropriate.
minor comments (2)
  1. [Abstract] The abstract states velocities with errors but does not specify how these uncertainties were propagated from the dispersion fits or from the instrument resolution.
  2. [Introduction] A brief comparison in the introduction or discussion to prior chiral magnon observations in insulating altermagnets would help contextualize the novelty of the metallic case.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading of our manuscript and for the constructive comments, which highlight important considerations for metallic altermagnets. We address each major comment in turn below, providing the strongest honest defense of our results while committing to revisions where appropriate to strengthen the presentation.

read point-by-point responses

  1. Referee: [Abstract and inelastic neutron scattering results] Abstract and the inelastic neutron scattering section: The claim that high-symmetry dispersions are 'well described' by the minimal local-moment Heisenberg model with the listed J1, J2, J3, and D values is load-bearing for attributing the observed Γ-L chiral splitting solely to higher-order altermagnetic exchange. In a metallic system such as CrSb, the manuscript does not discuss or rule out possible itinerant-electron renormalization, Stoner excitations, or Landau damping that could modify effective exchanges or broaden modes, potentially affecting both the velocity values and the assignment of the splitting.

    Authors: The referee correctly notes that itinerant effects merit discussion in a metallic system. However, the inelastic neutron scattering data show sharp, coherent magnon branches with large group velocities (61 and 58 km/s) that remain well-defined over a wide energy range and up to high temperatures, with no evidence of significant broadening that would signal strong Landau damping or Stoner continuum overlap. This coherence, together with the perfectly compensated order confirmed by polarized neutron diffraction and the high TN = 733 K, supports the applicability of a local-moment Heisenberg description as a leading-order model for the high-symmetry dispersions. The chiral splitting along Γ-L is an experimental observation tied to the altermagnetic symmetry breaking and is not derived from the minimal model itself. In the revised manuscript we will add a concise discussion paragraph in the inelastic neutron scattering section explicitly addressing why itinerant renormalization is expected to be weak in CrSb, citing the mode sharpness and the success of the minimal fit. revision: yes

  2. Referee: [Abstract] Abstract: The fitted parameters are reported with uncertainties (e.g., J1 = 23(4) meV), but no details are provided on the fitting procedure, χ² values, number of data points, or tests of alternative models that include longer-range or conduction-electron-mediated terms. This omission weakens the justification for the minimal model as uniquely appropriate.

    Authors: We agree that additional information on the fitting procedure would improve transparency. The quoted parameters and uncertainties were obtained via least-squares fitting of the minimal Heisenberg model (J1, J2, J3, D) to the measured magnon dispersion points along multiple high-symmetry lines. In the revised manuscript we will include a brief description of the fitting protocol, the number of independent data points used, the resulting χ² per degree of freedom, and a short comparison demonstrating that extending the model with fourth-neighbor or conduction-electron-mediated terms yields no statistically significant improvement. These details will be placed in the main text or a supplementary note so that readers can assess the justification for the minimal model. revision: yes

Circularity Check

0 steps flagged

No significant circularity; results grounded in direct experimental data

full rationale

The paper reports experimental observations from magnetic susceptibility, polarized neutron diffraction, and inelastic neutron scattering. High-symmetry magnon dispersions are characterized by fitting a minimal Heisenberg model (J1, J2, J3, D), but this is a standard post-measurement parameterization rather than a derivation that reduces any claimed result to the fit by construction. The chiral spin splitting along the low-symmetry Γ-L direction is presented as a separate experimental signature attributed to higher-order altermagnetic interactions, without equations that define the splitting in terms of the fitted parameters or prior self-citations. No self-definitional loops, fitted inputs renamed as predictions, or load-bearing self-citations appear in the provided text. The derivation chain remains self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

4 free parameters · 1 axioms · 0 invented entities

The central claim depends on interpreting neutron scattering intensities as magnon dispersions that are then fitted to a Heisenberg Hamiltonian; the three exchange constants and anisotropy are free parameters determined from the data rather than derived from first principles.

free parameters (4)
  • J1 = 23(4) meV
    Nearest-neighbor antiferromagnetic exchange fitted to dispersion data
  • J2 = -5.4(8) meV
    Second-nearest-neighbor ferromagnetic exchange fitted to dispersion data
  • J3 = 5.2(8) meV
    Third-nearest-neighbor antiferromagnetic exchange fitted to dispersion data
  • D = 0.15(4) meV
    Ising single-ion anisotropy fitted to dispersion data
axioms (1)
  • domain assumption Magnon dispersions in CrSb are described by a minimal Heisenberg model with interactions up to third nearest neighbors plus single-ion anisotropy
    Invoked to fit the inelastic neutron scattering data along high-symmetry directions

pith-pipeline@v0.9.0 · 5614 in / 1490 out tokens · 47540 ms · 2026-05-17T21:14:19.256680+00:00 · methodology

discussion (0)

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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/Foundation/RealityFromDistinction.lean reality_from_one_distinction unclear
    ?
    unclear

    Relation between the paper passage and the cited Recognition theorem.

    The observed magnon dispersions along high-symmetry directions of the Brillouin zone are well described by a minimal Heisenberg model up to third nearest neighbors of alternating antiferromagnetic and ferromagnetic character, J1 = 23(4) meV, J2 = −5.4(8) meV, J3 = 5.2(8) meV, and an Ising single-ion anisotropy term D = 0.15(4) meV.

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.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Band splitting in altermagnet CrSb

    cond-mat.str-el 2026-02 unverdicted novelty 5.0

    Magnetic groups formalism applied to CrSb reveals additional momentum-dependent spin splitting in electron bands beyond the exchange approximation of spin groups theory.

Reference graph

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