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arxiv: 2605.25839 · v1 · pith:VOOVSEWNnew · submitted 2026-05-25 · ❄️ cond-mat.mes-hall

Hybridization of Ferromagnetic and Cyclotron Resonances in a Two-Dimensional Electron System on a Ferromagnetic Film

A. A. Zabolotnykh , I. V. Zagorodnev , A. A. Matveev , D. A. Rodionov , O. Yu. Arkhipova , D. V. Kalyabin , A. R. Safin , S. A. Nikitov This is my paper

Pith reviewed 2026-06-29 20:32 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall
keywords ferromagnetic resonancecyclotron resonanceanticrossing2D electron systemhybridizationmicrowave responsemagnetic field
0
0 comments X

The pith

Ferromagnetic resonance in a film and cyclotron resonance in an overlying 2D electron system repel each other under a perpendicular magnetic field, altering frequencies and linewidths.

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

The paper studies the microwave response of a two-dimensional electron system on a dielectric ferromagnetic film that rests on a metal gate, all subjected to a perpendicular static magnetic field. The central result is that the film's ferromagnetic resonance couples electromagnetically to the cyclotron resonance of the electrons. This coupling produces an avoided crossing in which the two resonance frequencies push apart rather than intersect as the field strength changes. The same region also exhibits a marked broadening or narrowing of the resonance lines. These effects arise because the combined structure supports hybridized modes whose damping and frequency shifts differ from those of the isolated film or isolated 2D layer.

Core claim

The ferromagnetic resonance of the film and the cyclotron resonance of the 2D electrons interact in the magnetic field, leading to their repulsion (anticrossing). The anticrossing region is characterized not only by the modification of resonance frequencies compared to the cyclotron resonance in the 2D system without the ferromagnetic substrate and the ferromagnetic resonance in the film without the 2D system, but also by a strong change in the resonance linewidths.

What carries the argument

Electromagnetic coupling between the 2D electron layer and the ferromagnetic film within a linear-response model of the full multilayer stack placed in a perpendicular static field, producing hybridized modes.

If this is right

  • Resonance frequencies deviate from their isolated values inside the anticrossing window.
  • Resonance linewidths undergo substantial modification due to the interaction.
  • The microwave absorption spectrum of the combined system differs from the sum of the separate film and 2D-layer spectra.
  • The anticrossing occurs only when the static field is applied perpendicular to the layers.

Where Pith is reading between the lines

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

  • The linewidth changes imply an exchange of damping between the magnetic and electronic modes that could be tuned by gate voltage.
  • Similar hybridization may appear in other geometries where a magnetic film is placed near a high-mobility 2D electron gas.
  • The effect supplies a field-tunable mechanism for controlling microwave transmission or reflection in hybrid structures.

Load-bearing premise

The calculation assumes that electromagnetic coupling between the layers can be treated in linear response while ignoring nonlinearities and interface disorder.

What would settle it

Microwave spectra of the fabricated stack that show the two resonances crossing without frequency repulsion or without accompanying linewidth changes would falsify the predicted hybridization.

Figures

Figures reproduced from arXiv: 2605.25839 by A. A. Matveev, A. A. Zabolotnykh, A. R. Safin, D. A. Rodionov, D. V. Kalyabin, I. V. Zagorodnev, O. Yu. Arkhipova, S. A. Nikitov.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p001_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: shows the absorption coefficient of an electro￾magnetic wave at various frequencies and magnetic fields. As expected, the resonant frequencies given by Eq. (11) and shown in [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
read the original abstract

The microwave response of a two-dimensional (2D) electron system located on a dielectric ferromagnetic film, which in turn lies on a conducting metal (gate), has been theoretically studied. The entire system has been placed in the perpendicular static magnetic field. It has been found that the ferromagnetic resonance of the film and the cyclotron resonance of the electrons of the 2D system interact in the magnetic field, leading to their repulsion ('anticrossing'). It has been revealed that the anticrossing region is characterized not only by the modification of resonance frequencies compared to the cyclotron resonance in the 2D system without the ferromagnetic substrate and the ferromagnetic resonance in the film without the 2D system, but also by a strong change in the resonance linewidths.

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

1 major / 0 minor

Summary. The manuscript theoretically studies the microwave response of a 2D electron system on a dielectric ferromagnetic film atop a conducting metal gate, placed in a perpendicular static magnetic field. It reports that the film's ferromagnetic resonance and the 2DES cyclotron resonance interact via electromagnetic coupling, producing an anticrossing in resonance frequencies together with strong modifications to the resonance linewidths in the coupling region.

Significance. If the underlying linear-response calculation is sound, the result would be significant for hybrid 2DES-ferromagnet systems in the mesoscopic regime, as it identifies both frequency repulsion and damping changes as direct consequences of the geometry and perpendicular field. The absence of free parameters or ad-hoc entities in the stated claim is a strength.

major comments (1)
  1. Abstract: the central claims of anticrossing and linewidth modification are stated without any explicit susceptibility function, response equations, or limiting-case checks, rendering it impossible to verify that these features emerge rigorously from the linear-response model of the coupled system.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the detailed reading of our manuscript. The single major comment concerns the level of technical detail provided in the abstract; we address it directly below.

read point-by-point responses

  1. Referee: Abstract: the central claims of anticrossing and linewidth modification are stated without any explicit susceptibility function, response equations, or limiting-case checks, rendering it impossible to verify that these features emerge rigorously from the linear-response model of the coupled system.

    Authors: Abstracts are concise summaries and conventionally omit explicit functions or equations. The linear-response framework is fully specified in the main text: the electromagnetic boundary-value problem is solved using the susceptibility tensor of the ferromagnetic film (with Gilbert damping) coupled to the 2DES conductivity tensor (Drude model with cyclotron frequency). The resulting dispersion relation for the hybrid modes is derived in Section II, and the microwave absorption is obtained from the imaginary part of the effective surface impedance in Section III. Limiting cases are recovered explicitly: (i) vanishing 2DES density restores the bare FMR frequency and linewidth; (ii) vanishing film magnetization restores the bare cyclotron resonance. These checks are shown in Figs. 2 and 3. If the referee considers the main-text presentation insufficiently explicit, we will add an appendix containing the full susceptibility expressions and the 4 imes4 boundary-condition matrix. revision: no

Circularity Check

0 steps flagged

No significant circularity

full rationale

The derivation proceeds from a linear-response calculation of the coupled microwave susceptibility for the 2DES plus ferromagnetic film in perpendicular B. The anticrossing and linewidth modification are presented as direct consequences of this electromagnetic coupling applied to the given geometry; the abstract and description supply no equations or steps that reduce any reported prediction to a fitted input by construction, nor any load-bearing self-citation chain. The central claim therefore remains independent of the patterns that would trigger a circularity flag.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Review performed on abstract only; the model likely rests on standard Maxwell-equation linear response and material constitutive relations, but no explicit free parameters, axioms, or invented entities can be extracted.

pith-pipeline@v0.9.1-grok · 5716 in / 1163 out tokens · 21565 ms · 2026-06-29T20:32:44.346341+00:00 · methodology

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Works this paper leans on

35 extracted references · 33 canonical work pages

  1. [1]

    S. A. Nikitov, A. R. Safin, D. V. Kalyabin, A. V. Sadovnikov, E. N. Beginin, M. V. Logunov, M. A. Moro- zova, S. A. Odintsov, S. A. Osokin, A. Yu. Sharaevskaya, Yu. P. Sharaevsky, and A. I. Kirilyuk, Phys. Usp. 63, 945 (2020). doi:10.3367/UFNe.2019.07.038609

    work page doi:10.3367/ufne.2019.07.038609 2020

  2. [2]

    Q. Shao, P. Li, L. Liu et al., IEEE Trans. Magn. 57(7), 800439 (2021). doi:10.1109/TMAG.2021.3078583

    work page doi:10.1109/tmag.2021.3078583 2021

  3. [3]

    Chappert, A

    C. Chappert, A. Fert, and F. Van Dau, Nat. Mater. 6(11), 813 (2007). doi:10.1038/nmat2024

    work page doi:10.1038/nmat2024 2007

  4. [4]

    Vysotskii, A

    S. Vysotskii, A. Kozhevnikov, M. Balinskiy, A. Khitun, and Y. Filimonov, J. Appl. Phys. 132(8), 084504 (2022). doi:10.1063/5.0102336

    work page doi:10.1063/5.0102336 2022

  5. [5]

    A. V. Sadovnikov, A. A. Grachev, S. A. Odintsov, A. A. Martyshkin, V. A. Gubanov, S. E. Sheshukova, and S. A. Nikitov, JETP Lett. 108, 312 (2018). doi: 10.1134/S0021364018170113

    work page doi:10.1134/s0021364018170113 2018

  6. [6]

    Mahmoud, F

    A. Mahmoud, F. Ciubotaru, F. Vanderveken, A. Chumak, S. Hamdioui, C. Adelmann, and S. Coto- fana, J. Appl. Phys. 128(16), 161101 (2020). doi: 10.1063/5.0019328

    work page doi:10.1063/5.0019328 2020

  7. [7]

    A. V. Chumak, P. Kabos, M. Wu et al., IEEE Trans. Magn. 58(6), 0800172 (2022). doi: 10.1109/TMAG.2022.3149664

    work page doi:10.1109/tmag.2022.3149664 2022

  8. [8]

    M. C. Onbasli, A. Kehlberger, D. H. Kim, G. Jakob, M. Kläui, A. V. Chumak, B. Hillebrands, and C. A. Ross, APL Mater. 2(10), 106102 (2014). doi:10.1063/1.4896936

    work page doi:10.1063/1.4896936 2014

  9. [9]

    J. Xu, D. Zhang, Y. Zhang, Z. Zhong, H. Zhang, X. Xu, X. Luo, Q. Yang, B. Liu, and L. Jin, AIP Adv. 12(6), 065026 (2022). doi:10.1063/5.0098656

    work page doi:10.1063/5.0098656 2022

  10. [10]

    S. Das, R. Mansell, L. Flajšman, L. Yao, J. W. van der Jagt, S. Chen, D. Ravelosona, L. Herrera Diez, and S. van Dijken, Phys. Rev. Mater. 8(11), 114419 (2024). doi: 10.1103/PhysRevMaterials.8.114419

    work page doi:10.1103/physrevmaterials.8.114419 2024

  11. [11]

    Zhang, L

    X. Zhang, L. Jin, D. Zhang, B. Liu, H. Meng, L. Zhang, Z. Zhong, and X. Tang, Front. Mater. 9, 879711 (2022). doi:10.3389/fmats.2022.879711

    work page doi:10.3389/fmats.2022.879711 2022

  12. [12]

    Heins, V

    C. Heins, V. Iurchuk, O. Gladii, L. Körber, A. Kákay, J. Fassbender, K. Schultheiss, and H. Schultheiss, Phys. Rev. B 111(13), 134434 (2025). doi: 10.1103/PhysRevB.111.134434

    work page doi:10.1103/physrevb.111.134434 2025

  13. [13]

    K. D. Samoilenko, D. A. Volkov, D. A. Gabrielyan at al., JETP Lett. 121, 554 (2025). doi: 10.1134/S002136402460530X

    work page doi:10.1134/s002136402460530x 2025

  14. [14]

    Emori, A

    S. Emori, A. Matyushov, H. Jeon, C. J. Babroski, T. Nan, A. M. Belkessam, J. G. Jones, M. E. McConney, G. J. Brown, B. M. Howe, and N. X. Sun, Appl. Phys. Lett. 112(18), 182406 (2018). doi:10.1063/1.5025623

    work page doi:10.1063/1.5025623 2018

  15. [15]

    A. V. Sadovnikov, A. A. Grachev, E. N. Be- ginin at al., JETP Lett. 106, 465 (2017). doi: 10.1134/S0021364017190110

    work page doi:10.1134/s0021364017190110 2017

  16. [16]

    Monzon, M

    F. Monzon, M. Johnson, and M. Roukes, Appl. Phys. Lett. 71(21), 3087 (1997). doi:10.1063/1.120254

    work page doi:10.1063/1.120254 1997

  17. [17]

    Meier, D

    G. Meier, D. Grundler, K. - B. Broocks, C. Heyn, and D. Heitmann, J. Magn. Magn. Mater. 210, 138 (2000). doi:10.1016/S0304-8853(99)00625-3

    work page doi:10.1016/s0304-8853(99)00625-3 2000

  18. [18]

    Y. V. Bludov, J. N. Gomes, G. d. A. Farias, J. Fernández- Rossier, M. I. Vasilevskiy, and N. M. Peres, 2D Mater. 6(4), 045003 (2019). doi:10.1088/2053-1583/ab2513

    work page doi:10.1088/2053-1583/ab2513 2019

  19. [19]

    A. M. Pikalov, A. V. Dorofeenko, and A. B. Granovsky, JETP Lett. 113, 521 (2021). doi: 10.1134/S0021364021080105

    work page doi:10.1134/s0021364021080105 2021

  20. [20]

    A. T. Costa, M. I. Vasilevskiy, J. Fernández-Rossier, and N. M. Peres, Nano Lett. 23(10), 4510 (2023). doi: 10.1021/acs.nanolett.3c00907

    work page doi:10.1021/acs.nanolett.3c00907 2023

  21. [21]

    H. Y. Yuan and Ya. M. Blanter, Phys. Rev. Lett. 133(15), 156703 (2024). doi:10.1103/PhysRevLett.133.156703

    work page doi:10.1103/physrevlett.133.156703 2024

  22. [22]

    Kuznetsov, H

    N. Kuznetsov, H. Qin, L. Flajšman, and S. van Dijken, Sci. Adv. 11(2), eads2420 (2025). doi: 10.1126/sciadv.ads2420

    work page doi:10.1126/sciadv.ads2420 2025

  23. [23]

    H. Y. Yuan, Ya. M. Blanter, and H. Q. Lin, Phys. Rev. B 111, 024422 (2025). doi:10.1103/PhysRevB.111.024422

    work page doi:10.1103/physrevb.111.024422 2025

  24. [24]

    K. W. Chiu, T. K. Lee, and J. J. Quinn, Surf. Sci. 58(1), 182 (1976). doi:10.1016/0039-6028(76)90132-1

    work page doi:10.1016/0039-6028(76)90132-1 1976

  25. [25]

    T. N. Theis, J. P.Kotthaus, and P. J. Stiles, Solid State Commun. 24(4), 273 (1977). doi:10.1016/0038- 1098(77)90205-8

    work page doi:10.1016/0038- 1977

  26. [26]

    T. Ando, A. B. Fowler, and F. Stern, Rev. Mod. Phys. 54(2), 437 (1982). doi:10.1103/RevModPhys.54.437

    work page doi:10.1103/revmodphys.54.437 1982

  27. [27]

    A. A. Zabolotnykh and V. A. Volkov, Phys. Rev. B 103, 125301 (2021). doi:10.1103/PhysRevB.103.125301

    work page doi:10.1103/physrevb.103.125301 2021

  28. [28]

    V. M. Muravev, I. V. Andreev, N. D. Semenov, P. A. Gusikhin, and I. V. Kukushkin, Phys. Rev. B 110(20), 205416 (2024). doi:10.1103/PhysRevB.110.205416

    work page doi:10.1103/physrevb.110.205416 2024

  29. [29]

    D. D. Stancil and A. Prahabkar, Spin Waves Theory and Applications (Springer, New York, 2009)

    2009

  30. [30]

    S. M. Rezende, Fundamentals of Magnonics (Springer, Cham, 2020)

    2020

  31. [31]

    Fano, Nuovo Cimento 12(3), 154 (1935)

    U. Fano, Nuovo Cimento 12(3), 154 (1935). doi: 10.1007/BF02958288

    work page doi:10.1007/bf02958288 1935

  32. [32]

    Fano, Phys

    U. Fano, Phys. Rev. 124(6), 1866 (1961). doi: 10.1103/PhysRev.124.1866

    work page doi:10.1103/physrev.124.1866 1961

  33. [33]

    Y. S. Joe, A. M. Satanin, and C. S. Kim, Physica Scripta 74(2), 259 (2006). doi:10.1088/0031-8949/74/2/020

    work page doi:10.1088/0031-8949/74/2/020 2006

  34. [34]

    Y. J. Chung, K. Villegas Rosales, K. Baldwin, P. Ma- dathil, K. West, M. Shayegan, and L. Pfeiffer, Nat. Mater. 20, 632 (2021). doi:10.1038/s41563-021-00942-3

    work page doi:10.1038/s41563-021-00942-3 2021

  35. [35]

    Khymyn, I

    R. Khymyn, I. Lisenkov, V. Tiberkevich, B. A. Ivanov, and A. Slavin, Sci. Rep. 7, 43705 (2017). doi: 10.1038/srep43705

    work page doi:10.1038/srep43705 2017