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Control of magnon frequency combs in magnetic rings

T0 review · 2 major / 5 minor · reviewed 2026-08-10 · deepseek-v4-flash

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Pith's one-line read Removing the vortex core from a magnetic disk suppresses magnon frequency combs, and a small in-plane field restores the core and the comb.

desk verdict A clean demonstration that self-induced magnon combs require the vortex core, but the conclusion overreaches when it claims low-frequency modulation per se is insufficient. read the letter →

arxiv 2501.05080 v1 pith:RZWJWI4L submitted 2025-01-09 cond-mat.mes-hall

Christopher Heins , Attila Kákay , Joo-Von Kim , Gregor Hlawacek , Jürgen Fassbender , Katrin Schultheiss , Helmut Schultheiss This is my paper · ORCID
classification cond-mat.mes-hall
keywords magnonfrequencycombmagneticvortexcoregyrationself-inducedFloquetstatesBrillouinlightscatteringringsnonlinearmicromagneticsimulation
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

Strong microwave driving of a magnetic vortex makes the vortex core gyrate, and that low-frequency gyration periodically modulates the magnon spectrum, producing sidebands that appear as a frequency comb. This paper asks whether the comb survives if the vortex core is physically removed. Using Brillouin light scattering on two-micrometer permalloy disks and on rings with 100- and 200-nanometer central holes, the authors find that rings without a core do not produce combs at any excitation frequency, even at high power. A small static in-plane field that re-nucleates the core brings the comb back. The result identifies the vortex core, not just strong driving, as the element that carries self-induced magnon Floquet physics, and it turns the core into a switchable control knob.

What carries the argument

The load-bearing object is the vortex core and its gyrotropic motion: the large-amplitude, low-frequency (few hundred MHz) translational orbit of the core that periodically modulates the magnetic ground state. That periodic modulation turns the ordinary magnon dispersion into magnon Floquet bands, and the spontaneous nonlinear coupling of a pumped magnon mode to the gyration, allowed only for the azimuthal mode $(0,-p)$ through $\Delta f = -f_g$ and $\Delta m = -p$, populates those bands, so their frequency spacing equals the gyration frequency. In the rings, the hole removes the core and with it this gyrational modulation, which is why the Floquet sidebands and the comb disappear.

What would settle it

Time-resolved magnetization imaging of a 100 nm-hole ring driven at 32 mW would settle it: the claim predicts a gyrotating vortex core whenever the 303 MHz comb is observed, and no core in the 200 nm-hole ring at any power before a comb appears; seeing a comb in a verified core-free ring would refute the centrality claim.

Watch

Extended reading notes

Core claim

The central claim is that the presence of self-induced magnon Floquet states, and therefore of magnon frequency combs, is governed by the presence of a gyrotropic vortex core in the magnetic texture. In a vortex-state disk, pumping the lower-frequency azimuthal mode $(0,-p)$ above threshold couples nonlinearly to the core gyration through the matching conditions $\Delta f = -f_g$ and $\Delta m = -p$, giving comb teeth spaced by the gyration frequency $f_g = 205$ MHz. In rings with the core removed by a central hole, the same pumping produces only a single direct-response peak, and no comb appears even when the modulation is strong. The paper further shows that the process is controllable: at high power a vortex core can be nucleated around a 100 nm hole, with the larger comb spacing $f_g' = 303$ MHz, while a 200 nm hole is too large for nucleation, and a static in-plane magnetic field can restore the core and the comb in a hysteretic field window. The authors conclude that the vortex core is the essential ingredient and that excitation power and in-plane field can serve as active control knobs.

Load-bearing premise

The argument assumes that the rings measured without an applied field really are in the vortex-free flux-closure state, so the missing comb is caused by the absent core rather than by the ring's different mode spectrum or symmetry.

Editorial extensions

If this is right

  • A magnetic ring can be switched between comb-generating and comb-suppressing states by moving the vortex core in or out with a static in-plane field, and the switching is hysteretic.
  • The comb's tooth spacing directly reports the gyration frequency of the core, so the 303 MHz spacing observed in the 100 nm-hole ring reveals the frequency of gyration around the hole.
  • High-power spin-wave excitation alone can nucleate a vortex core without any bias field, at least in rings with small enough holes.
  • Hole size sets a nucleation threshold: a 100 nm hole permits core nucleation at high power, while a 200 nm hole does not.
  • Nonlinear magnon scattering channels are topology-dependent: removing the core removes the required scattering partner, so the comb mechanism is unavailable to rings even though their linear eigenmode spectrum still contains similar magnon modes.

Reading between the lines

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

  • If the core-presence criterion is general, any confined magnetic texture whose low-frequency collective mode satisfies the same angular-momentum matching condition could host self-induced Floquet combs, which would extend the mechanism beyond vortices to textures such as skyrmions or domain walls.
  • A systematic sweep of hole sizes between 100 and 200 nm would map the nucleation threshold and test whether the power required for comb generation diverges smoothly as the hole grows; the paper does not report such a sweep.
  • The hysteretic field window for comb restoration could in principle be used as a switch or memory element read out through the microwave comb, but the paper stops short of demonstrating a device.
  • Direct time-resolved imaging of the magnetization during comb generation would separate the core-presence explanation from alternative explanations based on the ring's altered mode spectrum; the present evidence for core presence comes from BLS mode structure and micromagnetic simulations.
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Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

2 major / 5 minor

Summary. The paper reports Brillouin light scattering measurements and micromagnetic simulations of nonlinear magnon dynamics in 2-µm-diameter NiFe disks and in rings with 100 nm and 200 nm central holes. In the disk, pumping the lower-frequency azimuthal mode above threshold produces self-induced magnon frequency combs whose spacing (205 MHz) equals the gyrotropic frequency obtained from simulation. The rings, which are argued to lack a vortex core, show no combs under the same excitation; the 100 nm-hole ring develops a comb with 303 MHz spacing only above 30 mW, which the authors attribute to vortex nucleation around the hole. Static in-plane field sweeps restore combs in the rings in field ranges where micromagnetic simulations predict the core to be present. The paper concludes that magnon Floquet states are strongly linked to vortex-core presence and that excitation power and in-plane magnetic field can serve as control knobs for combs in ring structures.

Significance. If the core-based interpretation is correct, the work provides a clean geometry-based control of a nonlinear magnon scattering process, extending self-induced Floquet magnons from disks to rings with possible relevance for reservoir computing. The strengths include systematic power- and field-dependent BLS data on three structures sharing one antenna, micromagnetic simulations using standard NiFe parameters with no fitting of the gyrotropic frequency, and openly available data. The larger comb spacing in the 100 nm-hole ring (303 MHz) is a concrete quantitative signature that could be checked by direct imaging or independent simulation.

major comments (2)
  1. [Conclusion] The concluding sentence 'If the core is removed from the spin texture, even strong modulations of the ground state with low frequencies will not create magnon frequency combs' is stronger than what the experiments support. The measurements in Figs. 2(e,f), 3(g-i), and 4(i) probe self-induced combs: the low-frequency modulation is provided by the gyrotropic mode, and in a core-free ring that mode is absent, so no low-frequency modulation of the ground state is present or externally imposed. The data therefore do not rule out the possibility that an externally driven low-frequency modulation (e.g., a second microwave tone at fg) could generate Floquet sidebands in a core-free ring. Please qualify the claim to 'self-induced' combs, or perform a two-tone experiment to test the general statement.
  2. [Fig. 3(d-f) and surrounding text] The interpretation of the high-power comb in the 100 nm-hole ring as evidence of vortex nucleation around the hole, and the statement that the 200 nm hole is too large for nucleation, are based on indirect evidence: the appearance of a comb with spacing fg' = 303 MHz and the absence of such a comb in the larger-hole ring. No direct imaging of the core at these powers and no micromagnetic simulation of the high-power nucleation process are provided. Since the paper's central causal claim uses this comparison to link combs specifically to core presence, the inference is load-bearing. I recommend either adding direct evidence (e.g., MFM imaging after excitation) or explicitly weakening the causal language and discussing alternative nonlinear sideband-generation mechanisms.
minor comments (5)
  1. [Fig. 3 caption] The caption lists '(i) 32 mW in the ring with the 100 nm hole' twice; the last entry should presumably refer to the ring with the 200 nm hole.
  2. [Text after Fig. 2(b,c)] The notation 'f0,1 = f0,−1' should be 'f0,+1 = f0,−1' for consistency with the previously defined modes (0,+1) and (0,−1).
  3. [Fig. 4(g-i) and discussion] The experimental field range for comb generation in the disk is much narrower than the simulated core-stability range; although the text explains this by different initial conditions, a quantitative statement of the simulated core-expulsion field would help the reader assess the discrepancy.
  4. [Simulation description] The text near Fig. 1(e,f) contains the typographical artifact 'M UMAX3' and should read 'MUMAX3'.
  5. [Fig. 3(a-c) text] The statement that chaotic switching of the vortex core is 'confirmed by micromagnetic simulations' would be easier to evaluate if the corresponding simulated spectra or time traces were shown.

Circularity Check

0 steps flagged · score 2.0 of 10

No significant circularity: the suppression of self-induced combs in rings and their restoration by in-plane field are new experimental observations; the Floquet mechanism is imported from the authors' prior work but independently reproduced here by parameter-free micromagnetic simulation.

full rationale

The derivation chain does not reduce to its inputs. The central result—that removing the vortex core suppresses self-induced magnon frequency combs and that applying an in-plane field restores them—is established by new BLS measurements on nominally identical disk and ring structures sharing a common antenna (Figs. 2–4), not by fitting a parameter to the target quantity. The gyrotropic spacing f_g = 205 MHz is obtained from a mumax3 simulation with nominal Ni81Fe19 parameters, not by matching the measured comb spacing. The interpretation that combs are caused by self-induced Floquet bands relies on the authors' prior work (Ref. 19), a same-group citation; however, the current paper also reproduces the Floquet band structure and field-dependent core dynamics in its own micromagnetic simulations (Figs. 1(e,f) and 4(d-f)), so the self-citation is not the sole load-bearing evidence. One scope limitation deserves note but is not circularity: the conclusion that 'even strong modulations of the ground state with low frequencies will not create magnon frequency combs' in core-free rings is broader than the measurements, which only probed self-induced combs without an externally imposed low-frequency modulation; this is an overgeneralization/correctness concern, not a case of the prediction being equivalent to its input by construction.

Assumptions & free parameters 1 free parameters · 3 assumptions · 0 invented entities

No new physical entities are introduced. The only adjustable model parameter is a small bias field used in simulations to promote core nucleation; it does not affect the central conclusion. The core-dependent comb mechanism is assumed from prior work and standard material parameters.

free parameters (1)
  • bias field magnitude (simulation) = 0.1 mT (z-direction)
    Numerical convenience in mumax3 static and dynamic simulations to promote vortex core nucleation; not fitted to experimental data.
assumptions (3)
  • domain assumption The initial magnetic ground state of the disk is a magnetic vortex and the rings are vortex-free flux-closure states
    Inferred from linear BLS spectra showing mode splitting in the disk and a single degenerate peak in rings, plus standard micromagnetics. Entering in Fig. 2(a-c).
  • domain assumption The gyrotropic frequency in the disk is fg = 205 MHz as obtained from mumax3 simulation with nominal NiFe parameters
    Used to identify the comb spacing; the simulation uses standard material constants (Ms=775 kA/m, Aex=12 pJ/m, alpha=0.007) and is not fitted to the measured comb.
  • domain assumption The self-induced Floquet mechanism (nonlinear coupling of magnon modes to vortex core gyration) from prior work (Ref 19) holds
    The paper builds on this mechanism without re-deriving it; cited as Ref 19, arXiv:2409.02583.

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Cite this review

Pith. "Pith review of Control of magnon frequency combs in magnetic rings." pith.science (2026). https://pith.science/paper/RZWJWI4L

@misc{pith2026250105080,
  author       = {Pith},
  title        = {Pith review of: Control of magnon frequency combs in magnetic rings},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/RZWJWI4L}},
  note         = {Machine review of arXiv:2501.05080}
}
read the original abstract

Using Brillouin light scattering microscopy, we study the rich dynamics in magnetic disks and rings governed by non-linear interactions, focusing on the role of vortex core dynamics on the spin-wave eigenmode spectrum. By strongly exciting quantized magnon modes in magnetic vortices, self-induced magnon Floquet states are populated by the intrinsic nonlinear coupling of magnon modes to the vortex core gyration. In magnetic rings, however, this generation is suppressed even when exciting the system over a large power range. To retrieve the rich nonlinear dynamics in rings, we apply external in-plane magnetic fields by which the vortex core is restored. Our findings demonstrate how to take active control of the nonlinear processes in magnetic structures of different topology.

Figures

Figures reproduced from arXiv: 2501.05080 by the authors.

Figure 1
Figure 1. (a) Schematic illustrations of (a) a magnetic vortex, (b) the [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. BLS spectra of the magnon modes measured in the linear regime on (a) a 2 µm diameter disk, (b) a ring with an outer diameter of 2 µm and a 100 nm diameter central hole, and (c) a ring with an outer diameter of 2 µm and a 200 nm wide central hole. (d) BLS spectra measured as a function of excita￾tion frequency for a higher power reach￾ing the nonlinear regime. In the disk, this leads to the generation of magnon fre￾q… view at source ↗
Figure 3
Figure 3. (a,d,g) BLS intensity inte￾grated for the direct excitation frequency fexc = 4.6 GHz (solid lines) and the comb modes (dashed lines) measured as a function of the excitation power for the different geometries. (b,e,h) BLS spectra measured as a function of the excitation power. (c,f,i) BLS spectra extracted for (c) 1 mW excitation power in the disk, (f) 32 mW in the ring with the 100 nm hole, and (i) 32 mW in the rin… view at source ↗
Figures from the paper (1 more)
Figure 4
Figure 4. Figure 4: (a-c) Displacement dy of the vortex core from the disk center ex￾tracted from micromagnetic simulations for the different geometries. (d-f) Mi￾cromagnetic simulations showing the for￾mation of frequency combs in the differ￾ent geometries when exciting at fexc = 4.6 GHz…

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Forward citations

Cited by 4 Pith papers

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

  1. Time-resolved observation of magnon splitting into vortex gyration and Floquet spin waves

    cond-mat.mtrl-sci 2025-11 conditional novelty 6.0 of 10

    Time-resolved single-shot electrical measurements show the vortex gyration and the first Floquet sideband of a magnon frequency comb emerge synchronously after an incubation delay, identifying three-wave splitting of ...

  2. Magnon-Driven Phononic Frequency Comb in Linear Elastic Media

    cond-mat.mes-hall 2025-05 conditional novelty 6.0 of 10

    A gyrating magnetic vortex transfers magnon nonlinearity to a linear phonon mode, creating a 0.4 GHz-spaced phononic frequency comb near 3.5 GHz in a nanodisk.

  3. Stimulated Magnonic Frequency Combs

    cond-mat.mes-hall 2026-01 conditional novelty 5.0 of 10

    Dual-frequency microwave drive on a NiFe square produces a magnonic frequency comb whose line spacing equals the modulation frequency and whose number of lines grows with modulation power.

  4. Excitation of vortex core gyration in nanopillars through driven Floquet magnons

    cond-mat.mes-hall 2025-07 conditional novelty 5.0 of 10

    RF-driven azimuthal spin waves in a 300 nm vortex nanopillar support multiple steady-state gyration radii, each producing a distinct Floquet frequency comb, so the device can be hysteretic.

Reference graph

Works this paper leans on

29 extracted references · 15 canonical work pages · cited by 4 Pith papers

  1. [1]

    Papp , author W

    author author \'A . Papp , author W. Porod ,\ and\ author G. Csaba ,\ https://doi.org/10.1038/s41467-021-26711-z journal journal Nature Communications \ volume 12 ,\ pages 6422 ( year 2021 ) NoStop

    doi:10.1038/s41467-021-26711-z 2021

  2. [2]

    Finocchio , author J

    author author G. Finocchio , author J. A. C. \ Incorvia , author J. S. \ Friedman , author Q. Yang , author A. Giordano , author J. Grollier , author H. Yang , author F. Ciubotaru , author A. V. \ Chumak , author A. J. \ Naeemi , author S. D. \ Cotofana , author R. Tomasello , author C. Panagopoulos , author M. Carpentieri , author P. Lin , author G. Pan ...

    work page

  3. [3]

    Watt \ and\ author M

    author author S. Watt \ and\ author M. Kostylev ,\ https://doi.org/10.1103/PhysRevApplied.13.034057 journal journal Physical Review Applied \ volume 13 ,\ pages 034057 ( year 2020 ) NoStop

    doi:10.1103/physrevapplied.13.034057 2020

  4. [4]

    Nakane , author A

    author author R. Nakane , author A. Hirose ,\ and\ author G. Tanaka ,\ https://doi.org/10.1103/PhysRevApplied.19.034047 journal journal Physical Review Applied \ volume 19 ,\ pages 034047 ( year 2023 ) NoStop

    doi:10.1103/physrevapplied.19.034047 2023

  5. [5]

    Namiki , author D

    author author W. Namiki , author D. Nishioka , author T. Tsuchiya ,\ and\ author K. Terabe ,\ https://doi.org/10.1088/2634-4386/ad561a journal journal Neuromorphic Computing and Engineering \ volume 4 ,\ pages 024015 ( year 2024 ) NoStop

    doi:10.1088/2634-4386/ad561a

  6. [6]

    Nagase , author S

    author author S. Nagase , author S. Nezu ,\ and\ author K. Sekiguchi ,\ https://doi.org/10.1103/PhysRevApplied.22.024072 journal journal Physical Review Applied \ volume 22 ,\ pages 024072 ( year 2024 ) NoStop

    doi:10.1103/physrevapplied.22.024072 2024

  7. [7]

    Körber , author C

    author author L. Körber , author C. Heins , author T. Hula , author J.-V. \ Kim , author S. Thlang , author H. Schultheiss , author J. Fassbender ,\ and\ author K. Schultheiss ,\ https://doi.org/10.1038/s41467-023-39452-y journal journal Nature Communications \ volume 14 ,\ pages 3954 ( year 2023 a ) NoStop

    doi:10.1038/s41467-023-39452-y

  8. [8]

    author author R. P. \ Cowburn , author D. K. \ Koltsov , author A. O. \ Adeyeye , author M. E. \ Welland ,\ and\ author D. M. \ Tricker ,\ https://doi.org/10.1103/PhysRevLett.83.1042 journal journal Physical Review Letters \ volume 83 ,\ pages 1042 ( year 1999 ) NoStop

    doi:10.1103/physrevlett.83.1042

Show all 29 references
  1. [9]

    Shinjo , author T

    author author T. Shinjo , author T. Okuno , author R. Hassdorf , author K. Shigeto ,\ and\ author T. Ono ,\ https://doi.org/10.1126/science.289.5481.930 journal journal Science \ volume 289 ,\ pages 930 ( year 2000 ) NoStop

    doi

  2. [10]

    Scholz , author K

    author author W. Scholz , author K. Guslienko , author V. Novosad , author D. Suess , author T. Schrefl , author R. Chantrell ,\ and\ author J. Fidler ,\ https://doi.org/10.1016/S0304-8853(03)00466-9 journal journal Journal of Magnetism and Magnetic Materials \ volume 266 ,\ p...

    doi

  3. [11]

    Novosad , author F

    author author V. Novosad , author F. Y. \ Fradin , author P. E. \ Roy , author K. S. \ Buchanan , author K. Y. \ Guslienko ,\ and\ author S. D. \ Bader ,\ https://doi.org/10.1103/PhysRevB.72.024455 journal journal Physical Review B \ volume 72 ,\ pages 024455 ( year 2005 ) NoStop

    doi

  4. [12]

    author author K. Y. \ Guslienko , author W. Scholz , author R. W. \ Chantrell ,\ and\ author V. Novosad ,\ https://doi.org/10.1103/PhysRevB.71.144407 journal journal Physical Review B \ volume 71 ,\ pages 144407 ( year 2005 ) NoStop

    2005 doi

  5. [13]

    Stoll , author M

    author author H. Stoll , author M. Noske , author M. Weigand , author K. Richter , author B. Krüger , author R. M. \ Reeve , author M. Hänze , author C. F. \ Adolff , author F.-U. \ Stein , author G. Meier , author M. Kläui ,\ and\ author G. Schütz ,\ journal journal Frontiers...

  6. [14]

    author author K. Y. \ Guslienko , author B. A. \ Ivanov , author V. Novosad , author Y. Otani , author H. Shima ,\ and\ author K. Fukamichi ,\ https://doi.org/10.1063/1.1450816 journal journal Journal of Applied Physics \ volume 91 ,\ pages 8037 ( year 2002 ) NoStop

    doi

  7. [15]

    author author J. P. \ Park \ and\ author P. A. \ Crowell ,\ https://doi.org/10.1103/PhysRevLett.95.167201 journal journal Physical Review Letters \ volume 95 ,\ pages 167201 ( year 2005 ) NoStop

    2005 doi

  8. [16]

    Vogt , author O

    author author K. Vogt , author O. Sukhostavets , author H. Schultheiss , author B. Obry , author P. Pirro , author A. A. \ Serga , author T. Sebastian , author J. Gonzalez , author K. Y. \ Guslienko ,\ and\ author B. Hillebrands ,\ https://doi.org/10.1103/PhysRevB.84.174401 jo...

    doi

  9. [17]

    Schultheiss , author R

    author author K. Schultheiss , author R. Verba , author F. Wehrmann , author K. Wagner , author L. K \"o rber , author T. Hula , author T. Hache , author A. K \'a kay , author A. A. \ Awad , author V. Tiberkevich , author A. N. \ Slavin , author J. Fassbender ,\ and\ author H....

    doi

  10. [18]

    K \"o rber , author K

    author author L. K \"o rber , author K. Schultheiss , author T. Hula , author R. Verba , author J. Fassbender , author A. K \'a kay ,\ and\ author H. Schultheiss ,\ https://doi.org/10.1103/PhysRevLett.125.207203 journal journal Physical Review Letters \ volume 125 ,\ pages 207...

    doi

  11. [19]

    Heins , author L

    author author C. Heins , author L. K \"o rber , author J.-V. \ Kim , author T. Devolder , author J. H. \ Mentink , author A. K \'a kay , author J. Fassbender , author K. Schultheiss ,\ and\ author H. Schultheiss ,\ http://arxiv.org/abs/2409.02583 title Self-induced Floquet mag...

    2024 arXiv

  12. [20]

    Hlawacek , author V

    author author G. Hlawacek , author V. Veligura , author R. Van Gastel ,\ and\ author B. Poelsema ,\ https://doi.org/10.1116/1.4863676 journal journal Journal of Vacuum Science & Technology B, Nanotechnology and Microelectronics: Materials, Processing, Measurement, and Phenomen...

    doi

  13. [21]

    o lzh \"a user , author P. Mazarov , author D. Koelle , author W. M \

    author author K. H \"o flich , author G. Hobler , author F. I. \ Allen , author T. Wirtz , author G. Rius , author L. McElwee-White , author A. V. \ Krasheninnikov , author M. Schmidt , author I. Utke , author N. Klingner , author M. Osenberg , author R. C \'o rdoba , author F...

  14. [22]

    Sebastian , author K

    author author T. Sebastian , author K. Schultheiss , author B. Obry , author B. Hillebrands ,\ and\ author H. Schultheiss ,\ journal journal Frontiers in Physics \ volume 3 ,\ https://doi.org/10.3389/fphy.2015.00035 10.3389/fphy.2015.00035 ( year 2015 ) NoStop

    2015

  15. [23]

    Mock , author B

    author author R. Mock , author B. Hillebrands ,\ and\ author R. Sandercock ,\ https://doi.org/10.1088/0022-3735/20/6/017 journal journal Journal of Physics E: Scientific Instruments \ volume 20 ,\ pages 656 ( year 1987 ) NoStop

    1987 doi

  16. [24]

    author author K. Y. \ Guslienko , author A. N. \ Slavin , author V. Tiberkevich ,\ and\ author S.-K. \ Kim ,\ https://doi.org/10.1103/PhysRevLett.101.247203 journal journal Physical Review Letters \ volume 101 ,\ pages 247203 ( year 2008 ) NoStop

    doi

  17. [25]

    Vansteenkiste , author J

    author author A. Vansteenkiste , author J. Leliaert , author M. Dvornik , author M. Helsen , author F. Garcia-Sanchez ,\ and\ author B. Van Waeyenberge ,\ https://doi.org/10.1063/1.4899186 journal journal AIP Advances \ volume 4 ,\ pages 107133 ( year 2014 ) NoStop

    doi

  18. [26]

    Körber , author C

    author author L. Körber , author C. Heins , author I. Soldatov , author R. Schäfer , author A. Kákay , author H. Schultheiss ,\ and\ author K. Schultheiss ,\ https://doi.org/10.1063/5.0135573 journal journal Applied Physics Letters \ volume 122 ,\ pages 092401 ( year 2023 b ) NoStop

    doi

  19. [27]

    author author R. K. \ Dumas , author D. A. \ Gilbert , author N. Eibagi ,\ and\ author K. Liu ,\ https://doi.org/10.1103/PhysRevB.83.060415 journal journal Physical Review B \ volume 83 ,\ pages 060415 ( year 2011 ) NoStop

    2011 doi

  20. [28]

    Heins , author A

    author author C. Heins , author A. Kakay , author J.-V. \ Kim , author G. Hlawacek , author J. Faßbender , author K. Schultheiß ,\ and\ author H. Schultheiß ,\ https://doi.org/10.14278/rodare.3387 title Data publication: Control of magnon frequency combs in magnetic rings ( ye...

    doi

  21. [29]

    Crameri , author G

    author author F. Crameri , author G. E. \ Shephard ,\ and\ author P. J. \ Heron ,\ https://doi.org/10.1038/s41467-020-19160-7 journal journal Nature Communications \ volume 11 ,\ pages 5444 ( year 2020 ) NoStop

    2020 doi

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