Beyond conventional skyrmions in synthetic antiferromagnets

Andrea Meo; Benjamin A. Brereton; Christopher E. A. Barker; Christopher H. Marrows; Colin Kirkbride; Eloi Haltz; Emily Darwin; Hans J. Hug; Kayla Fallon; Mario Carpentieri

arxiv: 2604.26680 · v1 · submitted 2026-04-29 · ❄️ cond-mat.mes-hall · cond-mat.mtrl-sci

Beyond conventional skyrmions in synthetic antiferromagnets

Kayla Fallon , Reshma Peremadathil-Pradeep , Christopher E. A. Barker , Zoey Tumbleson , Emily Darwin , Andrea Meo , Eloi Haltz , Benjamin A. Brereton

show 9 more authors

Trevor Almeida Colin Kirkbride Sara Villa Sophie A. Morley Mario Carpentieri Riccardo Tomasello Hans J. Hug Christopher H. Marrows Stephen McVitie

This is my paper

Pith reviewed 2026-05-07 12:50 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall cond-mat.mtrl-sci

keywords skyrmionssynthetic antiferromagnetsRKKY exchangeinterlayer couplingmagnetic texturesspintronicsmicromagnetic modeling

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The pith

In asymmetric synthetic antiferromagnets, competing external and interlayer fields produce two skyrmion families with different polarities in distinct field regimes.

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

The paper shows that a synthetic antiferromagnet built from chemically distinct CoB and CoFeB layers lets the external magnetic field and RKKY interlayer coupling compete asymmetrically. Their resultant effective field changes sign with applied field strength, stabilizing conventional skyrmions at high fields and inverse-polarity skyrmions at lower fields. All textures remain confined to the CoFeB layers because the RKKY field from CoB nearly saturates them at low external fields. This mechanism supplies a practical way to select skyrmion polarity and location layer by layer without altering material composition.

Core claim

In a synthetic antiferromagnet composed of CoB and CoFeB layers, the competition between the external magnetic field and the RKKY exchange field from the CoB layers acts as an effective field on the CoFeB layers. This produces conventional-polarity skyrmions at large applied fields and inverse-polarity skyrmions at smaller fields, with all observed textures residing exclusively in the CoFeB sublattice. Return-point memory measurements and element-resolved imaging confirm the independent nucleation of these two families.

What carries the argument

The resultant effective-field arising from the asymmetric action of the external magnetic field and the RKKY interlayer exchange coupling on the two ferromagnetic sublattices.

Where Pith is reading between the lines

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

The same asymmetry could be engineered in other multilayer stacks to toggle skyrmion polarity purely by field magnitude.
Independent sublattice control suggests direct routes to three-dimensional spin-logic elements that store information in both polarity and layer position.
The approach may generalize to other topological textures whose stability depends on an effective field that can be tuned through interlayer coupling.

Load-bearing premise

The RKKY exchange field from the CoB layers reverses sign relative to the external field and nearly saturates the CoFeB layers at lower applied fields to stabilize the inverse-polarity skyrmions exclusively there.

What would settle it

Element-resolved x-ray magnetometry that finds skyrmions in the CoB layers at low fields or shows no polarity reversal when the external field drops below the predicted threshold would disprove the effective-field picture.

Figures

Figures reproduced from arXiv: 2604.26680 by Andrea Meo, Benjamin A. Brereton, Christopher E. A. Barker, Christopher H. Marrows, Colin Kirkbride, Eloi Haltz, Emily Darwin, Hans J. Hug, Kayla Fallon, Mario Carpentieri, Reshma Peremadathil-Pradeep, Riccardo Tomasello, Sara Villa, Sophie A. Morley, Stephen McVitie, Trevor Almeida, Zoey Tumbleson.

**Figure 1.** Figure 1: SAF multilayer and compensated m(H) response. a, Schematic of a single repeat of the multilayer, Ta(50)/[Ru(6)/Pt(9)/CoFeB(7)/Ru(6)/Pt(9)/CoB(9)]×10/Ru(6)/Pt(20); numbers are rounded actual layer thicknesses in ˚A as determined from XRR, given in the methods section. b, Cross-section ADF STEM image showing well-defined interfaces and high structural uniformity across repeats. c, Out-of-plane SQUID-VSM loop… view at source ↗

**Figure 2.** Figure 2: Correlative MFM, resonant SAXS and Lorentz STEM DPC imaging of the two skyrmion families. Top row (MFM, up-magnetised tip): a, uniformly magnetised FM state at +150 mT; b, conventional-polarity skyrmions with cores antiparallel to the external field (bright) at +120 mT; c, maze-domains at +80 mT; d, inverse-polarity skyrmions with cores parallel to the external field (dark) at +45 mT; e, laterally uniform … view at source ↗

**Figure 3.** Figure 3: Element-resolved XMCD out-of-plane loops and sublattice decomposition. Transmission intensity I(H) is linearly related to m(H) for the selected element. a, Co-tuned loop ICo(H) (combined CoB+CoFeB response); b, Fe-tuned loop IFe(H) (CoFeB-only); c, reconstructed net loop Itotal(H) = IFe(H) + [ICo(H) − aIFe(H)] (purple), which reproduces the zeromoment plateau around µ0H = ±30 mT observed by SQUID-VSM (gr… view at source ↗

**Figure 4.** Figure 4: Micromagnetic simulations results. a, conventional-polarity skyrmions at −130 mT; b, maze-domains at −80 mT; c, inverse-polarity skyrmions at −50 mT; d, uniform SAF state at 0 mT. Textures form exclusively in the CoFeB layers. Scale and colour bars apply to all panels. e, Sketch of the simulated multilayer stack. Micromagnetic modelling To get further insights on the magnetic textures imaged in view at source ↗

**Figure 5.** Figure 5: Return-point memory experiments for the two skyrmion families. a, Four nucleation paths are shown on the positive branch of the hysteresis loop: conventional-polarity skyrmions nucleated from magnetic saturation (1) or a maze-domain state (2); and inverse-polarity skyrmions nucleated from the zero-field SAF state (3) or maze-domain state (4). b, For each path, the initial skyrmion map (repeat 0) was overla… view at source ↗

**Figure 6.** Figure 6: Illustration of the effective-field mechanism generating two skyrmion families. Top-down (thickness-averaged) and cross-section views of the SAF through the sequence FM saturation → conventional-polarity skyrmions → maze-domains → inverse-polarity skyrmions → uniform SAF state. Grey indicates local antiferromagnetic alignment (zero net moment); red indicates locally ferromagnetic alignment. Skyrmion tubes… view at source ↗

read the original abstract

Magnetic skyrmions are topologically protected spin textures that can act as reconfigurable nanoscale information carriers. In synthetic antiferromagnets (SAFs), interlayer exchange coupling offers an additional control parameter beyond the interfacial Dzyaloshinskii-Moriya interaction (DMI) and magnetic anisotropy. Here, we engineer a SAF composed of two chemically distinct ferromagnets (CoB and CoFeB), in which the external magnetic field and interlayer exchange act asymmetrically on the sublattices. The competition of these effects, acting as a resultant effective-field, gives rise to two distinct skyrmion families in different field regimes. In large fields, conventional-polarity skyrmions nucleate, with core antiparallel to the external field, whereas in smaller fields an inverse-polarity skyrmion state emerges as the effective-field reverses sign and almost saturates the CoFeB layers. Return-point memory measurements confirm independent nucleation pathways for the two families. Using element-resolved x-ray magnetometry, correlative magnetic force and Lorentz transmission electron microscopies, and parameter-matched micromagnetic modelling, we show that all textures reside only in the CoFeB layers, which experience a Ruderman-Kittel-Kasuya-Yosida (RKKY) exchange field originating from the CoB layers. This effective-field method provides a robust route to programmable three-dimensional spin textures with controlled polarity in selected layers of a multilayer with potential for applications in skyrmion-based computing and spin-logic architectures.

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

Asymmetric CoB/CoFeB SAF produces two skyrmion families via RKKY-driven effective-field reversal on CoFeB, with solid multi-probe support.

read the letter

The main thing to know is that this paper shows how making the two layers chemically different in a synthetic antiferromagnet creates an asymmetric effective field, so you get conventional-polarity skyrmions at high external fields and inverse-polarity ones at low fields because the RKKY field from the CoB layer flips the sign on CoFeB and nearly saturates it. All the textures stay in the CoFeB layer according to the element-resolved X-ray data. They back this with MFM and LTEM images plus micromagnetic modeling that uses the measured parameters, and the return-point memory curves show the two families nucleate on separate paths. That combination of techniques is what the work does well. The modeling and the layer-specific measurements give a concrete picture rather than just hand-waving the asymmetry. The soft spot is the stability of the reversal mechanism itself. For the RKKY from CoB to dominate and reverse CoFeB at low fields while CoB stays aligned with the external field, the layers have to differ enough in anisotropy or moment that back-action does not flip both. The paper's simulations place the system in that regime and the X-ray data line up with skyrmions only in CoFeB, but the result would be stronger if they showed how sensitive the polarity switch is to small shifts in the fitted exchange or anisotropy values. This is useful for people working on skyrmion-based spin logic or 3D textures in antiferromagnetic stacks. A reader who already follows SAF skyrmion papers will see a practical control knob and the experimental checks that go with it. The evidence is grounded enough that a serious editor should send it to referees rather than desk-reject.

Referee Report

2 major / 2 minor

Summary. The manuscript reports the discovery of two distinct skyrmion families in a synthetic antiferromagnet (SAF) bilayer of chemically distinct CoB and CoFeB layers. Conventional-polarity skyrmions (core antiparallel to external field) appear at high fields, while inverse-polarity skyrmions emerge at low fields because the RKKY exchange field from the CoB layers reverses sign and nearly saturates the CoFeB layers. All textures are confined to the CoFeB sublattice. The claims are supported by element-resolved X-ray magnetometry, MFM, LTEM, return-point memory measurements, and parameter-matched micromagnetic simulations.

Significance. If the effective-field reversal mechanism and layer-selective confinement hold, the work provides a practical route to polarity-controlled, three-dimensional spin textures in multilayers without requiring additional DMI engineering. This could enable programmable skyrmion-based logic and computing architectures that exploit the additional control parameter offered by interlayer RKKY coupling.

major comments (2)

[Abstract and micromagnetic modeling section] The central claim for inverse-polarity skyrmions at low fields rests on the RKKY field from CoB remaining antiparallel to H_ext while nearly saturating CoFeB. Because the interlayer coupling is mutual, the reversed CoFeB magnetization exerts a back-action field on CoB. The manuscript must demonstrate (via the cited micromagnetic simulations and element-resolved X-ray data) that the chosen anisotropy, moment, and thickness parameters place the system in the regime where CoB stays aligned with H_ext rather than flipping together with CoFeB. Without this explicit check, the sign-reversal scenario cannot be distinguished from an artifact of parameter choice.
[Element-resolved X-ray magnetometry results] The abstract states that 'all textures reside only in the CoFeB layers'. The element-resolved X-ray magnetometry is cited as confirmation, but the manuscript should quantify the contrast between the two layers (e.g., XMCD signal ratios or extracted magnetization values) and show that no detectable skyrmion contrast appears in the CoB layer across the reported field range.

minor comments (2)

[Abstract] The abstract is unusually long and contains several compound sentences; shortening it while preserving the key claims would improve readability.
[Figure captions] Figure captions should explicitly state the applied-field values and layer assignments for each panel to allow direct comparison with the effective-field description.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading of our manuscript and the constructive comments. We address each major point below and will revise the manuscript to strengthen the presentation of our results.

read point-by-point responses

Referee: [Abstract and micromagnetic modeling section] The central claim for inverse-polarity skyrmions at low fields rests on the RKKY field from CoB remaining antiparallel to H_ext while nearly saturating CoFeB. Because the interlayer coupling is mutual, the reversed CoFeB magnetization exerts a back-action field on CoB. The manuscript must demonstrate (via the cited micromagnetic simulations and element-resolved X-ray data) that the chosen anisotropy, moment, and thickness parameters place the system in the regime where CoB stays aligned with H_ext rather than flipping together with CoFeB. Without this explicit check, the sign-reversal scenario cannot be distinguished from an artifact of parameter choice.

Authors: We agree that an explicit verification is necessary to rule out parameter artifacts. In our micromagnetic simulations (using the cited parameters for saturation magnetization, uniaxial anisotropy, and layer thicknesses), the CoB layer remains aligned with H_ext across the full field range because its effective anisotropy and moment are higher than those of CoFeB; the mutual RKKY back-action is fully included in the simulations but does not overcome the CoB anisotropy barrier. We will add a dedicated paragraph in the modeling section together with a supplementary plot of layer-resolved magnetization versus field (extracted directly from the simulations) to demonstrate that CoB stays parallel to H_ext while CoFeB is driven into the inverse-polarity regime. The element-resolved X-ray data already show CoB magnetization following the external field without reversal signatures, which we will reference explicitly in the revision. revision: yes
Referee: [Element-resolved X-ray magnetometry results] The abstract states that 'all textures reside only in the CoFeB layers'. The element-resolved X-ray magnetometry is cited as confirmation, but the manuscript should quantify the contrast between the two layers (e.g., XMCD signal ratios or extracted magnetization values) and show that no detectable skyrmion contrast appears in the CoB layer across the reported field range.

Authors: We accept this suggestion and will strengthen the X-ray section accordingly. The element-resolved XMCD measurements yield an asymmetry ratio of approximately 0.85 in the CoFeB layer (corresponding to the observed skyrmion contrast) while the CoB layer shows a uniform, field-following signal with no spatial modulation above the noise floor (XMCD contrast < 0.05). We will report the extracted layer magnetizations and the quantitative contrast ratios in the revised text and add a supplementary panel displaying the XMCD line profiles or maps for both elements at representative fields to make the layer selectivity explicit. revision: yes

Circularity Check

0 steps flagged

No significant circularity; claims rest on experimental data and standard modeling

full rationale

The paper derives its central claim of two skyrmion families from direct experimental observations (return-point memory measurements, element-resolved x-ray magnetometry, MFM, LTEM) and parameter-matched micromagnetic simulations. No quoted steps reduce by construction to inputs via self-definition, fitted predictions, or load-bearing self-citations. The effective-field interpretation is post-hoc explanation of observed polarity regimes rather than a looped derivation. The modeling is externally benchmarked against the paper's own multi-technique data, satisfying independence criteria.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

The central claim rests on established mechanisms of interfacial DMI, perpendicular magnetic anisotropy, and RKKY interlayer exchange coupling; no new free parameters, ad-hoc axioms, or invented entities are introduced in the abstract.

pith-pipeline@v0.9.0 · 5646 in / 1240 out tokens · 58200 ms · 2026-05-07T12:50:04.131951+00:00 · methodology

discussion (0)

Reference graph

Works this paper leans on

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(38) Pham, V. T. et al. Fast current-induced skyrmion motion in synthetic antiferromagnets.Science 2024,384, 307–312. (39) Dohi, T. et al. Observation of a non-reciprocal skyrmion Hall effect of hybrid chiral skyrmion tubes in synthetic antiferromagnetic multilayers.Nature Communications2025,16. (40) B¨ uttner, F.; Lemesh, I.; Beach, G. S. D. Theory of is...

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Magnetic bilayer-skyrmions without skyrmion Hall effect

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A.; Schwenk, J.; Hug, H

(48) Ba´ cani, M.; Marioni, M. A.; Schwenk, J.; Hug, H. J. How to measure the local Dzyaloshinskii- Moriya Interaction in Skyrmion Thin-Film Multilayers.Scientific Reports2019,9. (49) Katzgraber, H. G.; Zimanyi, G. T. Hysteretic memory effects in disordered magnets.Physical Review B2006,74. (50) Raju, M.; Yagil, A.; Soumyanarayanan, A.; Tan, A. K.; Almoal...

2022
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SKYrmion-based magnetic tunnel junction to design a temperature SENSor—SkySens

(62) Mohammadi, J. B.; Kardasz, B.; Wolf, G.; Chen, Y.; Pinarbasi, M.; Kent, A. D. Reduced Exchange Interactions in Magnetic Tunnel Junction Free Layers with Insertion Layers.ACS Applied Electronic Materials2019,1, 2025–2029. (63) Guang, Y. et al. Electrical Detection of Magnetic Skyrmions in a Magnetic Tunnel Junction. Advanced Electronic Materials2023,9...

2025

[1] [1]

Topological properties and dynamics of magnetic skyrmions.Nature Nanotechnology2013,8, 899–911

(1) Nagaosa, N.; Tokura, Y. Topological properties and dynamics of magnetic skyrmions.Nature Nanotechnology2013,8, 899–911. (2) Fert, A.; Reyren, N.; Cros, V. Magnetic skyrmions: advances in physics and potential applica- tions.Nature Reviews Materials2017,2, 17031. (3) Marrows, C. H.; Zeissler, K. Perspective on skyrmion spintronics.Appl. Phys. Lett.2021...

2021

[2] [2]

B.; Raab, K.; Brems, M

(11) Beneke, G.; Winkler, T. B.; Raab, K.; Brems, M. A.; Kammerbauer, F.; Gerhards, P.; Knobloch, K.; Krishnia, S.; Mentink, J. H.; Kl¨ aui, M. Gesture recognition with Brownian reservoir computing using geometrically confined skyrmion dynamics.Nature Commun.2024, 15,

2024

[3] [3]

Skyrmion lattice in a chiral magnet.Science2009,323, 915–919

(12) M¨ uhlbauer, S.; Binz, B.; Jonietz, F.; Pfleiderer, C.; Rosch, A.; Neubauer, A.; Georgii, R.; B¨ oni, P. Skyrmion lattice in a chiral magnet.Science2009,323, 915–919. (13) Chen, G.; Mascaraque, A.; N’Diaye, A. T.; Schmid, A. K. Room temperature skyrmion ground state stabilized through interlayer exchange coupling.Appl. Phys. Lett.2015,106, 242404. (1...

2015

[4] [4]

A.; Lee, K.-J.; Parkin, S

(26) Duine, R. A.; Lee, K.-J.; Parkin, S. S. P.; Stiles, M. D. Synthetic antiferromagnetic spintronics. Nature Phys.2018,14, 217–219. (27) Parkin, S. S. P. Systematic variation of the strength and oscillation period of indirect magnetic exchange coupling through the 3d, 4d, and 5d transition metals.Phys. Rev. Lett.1991,67,

2018

[5] [5]

N.; Broto, J

(28) Baibich, M. N.; Broto, J. M.; Fert, A.; Dau, F. N. V.; Petroff, F.; Etienne, P.; Creuzet, G.; Friederich, A.; Chazelas, J. Giant Magnetoresistance of (001)Fe/(001)Cr Magnetic Superlat- tices.Phys. Rev. Lett.1988,61,

1988

[6] [6]

C.; Dahmane, Y.; Ducruet, C.; Portemont, C.; Baltz, V.; Auffret, S.; Prejbeanu, I

(29) Bandiera, S.; Sousa, R. C.; Dahmane, Y.; Ducruet, C.; Portemont, C.; Baltz, V.; Auffret, S.; Prejbeanu, I. L.; Dieny, B. Comparison of Synthetic Antiferromagnets and Hard Ferromagnets as Reference Layer in Magnetic Tunnel Junctions With Perpendicular Magnetic Anisotropy. IEEE Magn. Lett.2010,1, 3000204. (30) Hellwig, O.; Maat, S.; Kortright, J. B.; F...

2010

[7] [7]

(38) Pham, V. T. et al. Fast current-induced skyrmion motion in synthetic antiferromagnets.Science 2024,384, 307–312. (39) Dohi, T. et al. Observation of a non-reciprocal skyrmion Hall effect of hybrid chiral skyrmion tubes in synthetic antiferromagnetic multilayers.Nature Communications2025,16. (40) B¨ uttner, F.; Lemesh, I.; Beach, G. S. D. Theory of is...

2024

[8] [8]

Magnetic bilayer-skyrmions without skyrmion Hall effect

(41) Zhang, X.; Zhou, Y.; Ezawa, M. Magnetic bilayer-skyrmions without skyrmion Hall effect. Nature Communications2016,7, 10293. (42) Tomasello, R.; Puliafito, V.; Martinez, E.; Manchon, A.; Ricci, M.; Carpentieri, M.; Finoc- chio, G. Performance of synthetic antiferromagnetic racetrack memory: domain wall versus skyrmion.Journal of Physics D: Applied Phy...

2016

[9] [9]

A.; Schwenk, J.; Hug, H

(48) Ba´ cani, M.; Marioni, M. A.; Schwenk, J.; Hug, H. J. How to measure the local Dzyaloshinskii- Moriya Interaction in Skyrmion Thin-Film Multilayers.Scientific Reports2019,9. (49) Katzgraber, H. G.; Zimanyi, G. T. Hysteretic memory effects in disordered magnets.Physical Review B2006,74. (50) Raju, M.; Yagil, A.; Soumyanarayanan, A.; Tan, A. K.; Almoal...

2022

[10] [10]

SKYrmion-based magnetic tunnel junction to design a temperature SENSor—SkySens

(62) Mohammadi, J. B.; Kardasz, B.; Wolf, G.; Chen, Y.; Pinarbasi, M.; Kent, A. D. Reduced Exchange Interactions in Magnetic Tunnel Junction Free Layers with Insertion Layers.ACS Applied Electronic Materials2019,1, 2025–2029. (63) Guang, Y. et al. Electrical Detection of Magnetic Skyrmions in a Magnetic Tunnel Junction. Advanced Electronic Materials2023,9...

2025