arxiv: 2604.23297 · v1 · submitted 2026-04-25 · ❄️ cond-mat.mes-hall · cond-mat.str-el

Recognition: unknown

Noise spectroscopy of insulating and itinerant altermagnets

Lucas V. Pupim , Mathias S. Scheurer

Authors on Pith no claims yet

Pith reviewed 2026-05-08 07:31 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall cond-mat.str-el

keywords altermagnetismnoise spectroscopymagnonsitinerant electronsdomain wallssymmetry signaturescharge fluctuations

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The pith

Altermagnets produce unique noise signatures in charge fluctuations that symmetry forbids in antiferromagnets.

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

The paper explores noise magnetometry to identify altermagnetic order by comparing noise from magnons and itinerant electrons. It shows that symmetry permits certain noise terms only in altermagnets, creating clear distinctions from antiferromagnets in both bulk samples and under strain or near domain walls. These signatures are especially prominent in charge fluctuations of itinerant altermagnets. The angular pattern of noise around domain walls further encodes the orbital character of the order, such as d-wave versus g-wave.

Core claim

While altermagnetism and antiferromagnetism lead to different noise spectra for magnons, the most striking and symmetry-sensitive signatures appear in the charge fluctuations of itinerant altermagnets. Both for the homogeneous bulk case and in the presence of strain and/or around domain walls, noise contributions exist that are only permitted by symmetry in the altermagnet and thus provide a unique signature. The angular dependence of noise around domain walls also offers access to the orbital character of the altermagnet.

What carries the argument

Symmetry-allowed contributions to noise in charge fluctuations of itinerant altermagnets, which are forbidden in antiferromagnets.

If this is right

Altermagnets and antiferromagnets exhibit distinct magnon noise spectra.
Charge fluctuations in itinerant altermagnets carry symmetry-specific noise terms absent in antiferromagnets.
Strain and domain walls enable additional unique noise contributions allowed only by altermagnetic symmetry.
The angular dependence of noise around domain walls encodes the orbital character of the altermagnetic order parameter.

Where Pith is reading between the lines

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

Noise spectroscopy could serve as a screening tool for identifying altermagnetism in new candidate materials without relying on transport or diffraction.
The approach might extend to detecting other symmetry-broken magnetic phases by similar symmetry filtering of fluctuations.
If confirmed, it would support device concepts that use domain walls or strained regions in altermagnets for noise-based sensing.

Load-bearing premise

The symmetry-based noise terms dominate over real-world effects such as disorder, phonons, and experimental resolution limits.

What would settle it

A noise measurement around domain walls in a candidate altermagnet that shows no angular-dependent charge fluctuations permitted only by altermagnetic symmetry would falsify the claim.

Figures

Figures reproduced from arXiv: 2604.23297 by Lucas V. Pupim, Mathias S. Scheurer.

**Figure 1.** Figure 1: FIG. 1: (a) Schematic checkerboard lattice and its couplings view at source ↗

**Figure 2.** Figure 2: FIG. 2: (a) Antiferromagnetic ( view at source ↗

**Figure 3.** Figure 3: FIG. 3: Parallel noise view at source ↗

**Figure 4.** Figure 4: FIG. 4: Angular dependence of parallel noise view at source ↗

**Figure 5.** Figure 5: FIG. 5: (a) Berry curvature for the AM. The solid and dashed view at source ↗

**Figure 6.** Figure 6: FIG. 6 view at source ↗

read the original abstract

One of the central goals in the emergent field of altermagnetism is the unambiguous experimental identification and characterization of altermagnetic order across a variety of compounds. This motivates exploring tools that can clearly distinguish altermagnets from antiferromagnets, based on symmetry signatures, and offer access to the dominant orbital character (e.g., $d$-wave vs. $g$-wave) of the magnetic order parameter. In this work, we theoretically explore the potential of noise magnetometry for this task, studying contributions from both magnons and itinerant electrons in different regimes and scenarios. While altermagnetism and antiferromagnetism also lead to different noise spectra for magnons, we find the most striking and symmetry-sensitive signatures in the charge fluctuations of itinerant altermagnets. Both for the homogeneous bulk case and in the presence of strain and/or around domain walls, we identify noise contributions that are only permitted by symmetry in the altermagnet and, thus, provide a unique signature of altermagnetism. Furthermore, the angular dependence of noise around domain walls also offers access to the orbital character of the altermagnet. On a more technical note, we discuss the role and relevance of lattice effects related to the dipole tensor. We hope that our work will help pave the way towards the clear experimental identification of altermagnetism across a wide range of candidate 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

Noise spectroscopy could distinguish altermagnets from antiferromagnets via charge fluctuations allowed only by altermagnetic symmetry, especially near domain walls.

read the letter

The one thing to know is that this paper argues noise spectroscopy can distinguish altermagnets from antiferromagnets by picking up charge noise terms that symmetry allows only in the former, particularly in itinerant systems and near domain walls. The new element is the detailed look at itinerant charge fluctuations. Most altermagnet proposals so far target insulating cases or magnon modes, but here they show how mobile electrons produce noise signatures tied to the altermagnetic symmetry. The angular dependence around domain walls is presented as a way to access the orbital character, like d-wave versus g-wave. They also cover the homogeneous bulk and strained cases. The work does well on the symmetry side. The classification of allowed noise channels follows logically from the different magnetic point groups, and the inclusion of lattice dipole tensor effects shows attention to realistic details. The claims avoid self-reference and stay within standard models. Soft spots appear in the experimental translation. The predictions assume the symmetry-allowed terms dominate over disorder, phonons, and instrumental noise, but no estimates of relative magnitudes are given. This makes it difficult to assess how clean the signal would be in candidate materials. The models for itinerant electrons and magnons are standard but may miss material-specific effects. This paper targets experimentalists seeking practical tools for altermagnet identification in metals. Readers focused on spin noise or domain wall dynamics in unconventional magnets would find the concrete channels useful. The theoretical foundation is sound enough that it deserves a serious referee to check the derivations and any numerical results. I recommend sending it out for peer review.

Referee Report

0 major / 3 minor

Summary. The manuscript proposes noise spectroscopy (via magnon and charge fluctuations) as a tool for unambiguous experimental identification of altermagnetic order. It uses symmetry arguments to show that certain noise contributions are allowed in altermagnets but forbidden in antiferromagnets, both in the homogeneous bulk and under strain or near domain walls. For itinerant altermagnets the charge-noise signatures are highlighted as particularly distinctive, while the angular dependence of noise around domain walls is argued to encode the orbital character (d-wave vs. g-wave) of the order parameter. Lattice corrections arising from the dipole tensor are also examined.

Significance. If the symmetry classification holds, the work supplies concrete, falsifiable predictions that could help distinguish altermagnets from conventional antiferromagnets in a range of candidate materials. The explicit treatment of both insulating and itinerant regimes, together with the inclusion of strain and domain-wall geometries, broadens the proposal's applicability. The symmetry-based construction yields signatures that are, in the idealized models, independent of microscopic details, which is a clear strength for experimental design.

minor comments (3)

[§3] §3 (itinerant-electron noise): the statement that charge fluctuations provide the 'most striking' signatures would be strengthened by a brief quantitative comparison (e.g., relative magnitude or frequency window) to the magnon contribution already derived in §2.
[Fig. 4] Fig. 4 (domain-wall noise): the angular dependence is central to the orbital-character claim, yet the figure caption does not specify the precise definition of the angle or the integration limits used for the noise power; this should be clarified for reproducibility.
[§4] The discussion of lattice dipole-tensor corrections (near the end of §4) is useful but appears only after the main results; moving a short summary of these corrections to the introduction would help readers assess their impact on the symmetry-allowed terms from the outset.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the positive assessment of our manuscript, the recognition of its significance for distinguishing altermagnets from antiferromagnets via noise spectroscopy, and the recommendation for minor revision. No specific major comments were listed in the report, so we have no point-by-point rebuttals to provide. We will incorporate any minor editorial or technical suggestions in the revised version.

Circularity Check

0 steps flagged

No significant circularity in derivation chain

full rationale

The paper's central claims are based on standard symmetry analysis distinguishing altermagnetic order from antiferromagnetic order, identifying permitted noise contributions from magnons and itinerant electrons in bulk, strained, and domain-wall scenarios. This relies on group-theoretic selection rules applied to fluctuation spectra without any equations or steps that reduce predictions to fitted parameters, self-definitions, or load-bearing self-citations. The derivation remains self-contained within the idealized models, with no renaming of known results or smuggling of ansatzes via prior work; all signatures follow directly from symmetry constraints independent of the target observables.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claims rest on symmetry-allowed versus symmetry-forbidden noise channels derived from the altermagnetic point-group representations and standard models of magnons and itinerant electrons; no new entities or fitted parameters are introduced in the abstract.

axioms (2)

domain assumption Altermagnetic order possesses a symmetry that permits specific magnon and charge fluctuation channels forbidden in conventional antiferromagnets.
Invoked throughout the abstract as the basis for unique noise signatures.
domain assumption Lattice dipole tensor effects can be treated perturbatively without altering the leading symmetry distinctions.
Mentioned as a technical note in the abstract.

pith-pipeline@v0.9.0 · 5550 in / 1399 out tokens · 74458 ms · 2026-05-08T07:31:14.265563+00:00 · methodology

discussion (0)

Reference graph

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If we start with the quantization axis being alongˆz, that means theNzz component

Decoherence rate For the decoherence rate (1/T2), the important noise component is the one parallel to the qubit quantization axis. If we start with the quantization axis being alongˆz, that means theNzz component. If we now do an aribtrary rotationR tot =R x(ϕ)Rz(θ), it transforms as Nzz Rtot − − − →Nzz cos2 θ+ sin(2θ) sinϕN xz + sin2 θ Nyy cos2 ϕ+N xx s...
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Relaxation rate Similarlytothedecoherencerate, wecanrelatetherelaxationratetoanoisecomponent. Inthiscase, thetransversal noise is the relevant one, e.g., for the qubit quantization axis alongˆzwe have1/T1 ∝ N −+ with these components being defined as(±) = ˆx±iˆy, i.e., as written out explicitly in Eq. (E8) below. If we now rotate into an arbitrary directi...
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Here the qubit axis is aligned along±ˆz,ω= 0.25,h= 0.5andT= 1

and an AFM (η= 1). Here the qubit axis is aligned along±ˆz,ω= 0.25,h= 0.5andT= 1. The biggest difference with respect to the parallel noiseN∥, is the presence of the fully imaginaryNxy andN yz. We remark, once more, that for the continuum approximation ofDαγ(k), they are zero. Therefore, ford≫a, they vanish. Howeverd≪a, as shown before, requires the use o...

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