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Magnomechanical Coupling in Suspended 2D van der Waals Ferromagnets
Pith reviewed 2026-05-07 15:40 UTC · model grok-4.3
The pith
Suspended membranes of two-dimensional van der Waals ferromagnets exhibit magnomechanical coupling rates three orders of magnitude larger than in conventional bulk materials.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
We show that a suspended membrane of a two-dimensional van der Waals ferromagnet with in-plane magnetization and out-of-plane mechanical oscillations exhibits large magnomechanical coupling dominated by magnetoelastic interactions. The parametric single magnon-phonon coupling rate scales linearly with pre-strain and can reach hundreds of Hertz to low kiloHertz in suspended membranes of van der Waals ferromagnets such as CrGeTe_3 under experimentally realistic conditions. This rate exceeds typical values reported for YIG spheres by more than three orders of magnitude. Our results demonstrate that suspended membranes of van der Waals magnets provide a robust and highly tunable platform formagn
What carries the argument
The parametric magnomechanical coupling arising from magnetoelastic interactions in a pre-strained 2D ferromagnetic membrane undergoing out-of-plane flexural motion.
If this is right
- The coupling rate increases linearly with pre-strain, allowing tuning by engineering the strain.
- Van der Waals ferromagnets like CrGeTe3 offer a practical material platform for strong magnomechanics.
- Hybrid magnon-phonon systems can be realized with coupling strengths suitable for coherent interactions.
- Information processing applications based on magnomechanical coupling become more accessible.
Where Pith is reading between the lines
- This approach may allow integration of magnomechanical elements with other 2D electronic or photonic components in van der Waals heterostructures.
- Arrays of such suspended membranes could form tunable magnon-phonon lattices for studying collective effects.
- Optimizing material parameters or geometry might push coupling rates even higher, potentially into the MHz regime.
- The dominance of magnetoelastic coupling suggests that similar enhancements could apply to other 2D magnetic materials.
Load-bearing premise
The magnetoelastic interactions dominate the coupling and that realistic pre-strain values along with the material parameters for CrGeTe3 can be achieved without other damping mechanisms interfering.
What would settle it
Fabricate a suspended CrGeTe3 membrane with controlled pre-strain, apply a magnetic field to set the magnetization, and measure the frequency shift or splitting due to magnon-phonon interaction to verify the predicted coupling rate scaling with strain.
Figures
read the original abstract
Magnomechanical systems provide a promising route for exploring coherent hybrid magnon-phonon interactions and hybrid information processing, but their realization has so far been limited by weak magnon-phonon coupling in conventional bulk platforms. We show that a suspended membrane of a two-dimensional van der Waals ferromagnet with in-plane magnetization and out-of-plane mechanical oscillations exhibits large magnomechanical coupling dominated by magnetoelastic interactions. The parametric single magnon-phonon coupling rate scales linearly with pre-strain and can reach hundreds of Hertz to low kiloHertz in suspended membranes of van der Waals ferromagnets such as CrGeTe_3 under experimentally realistic conditions. This rate exceeds typical values reported for YIG spheres by more than three orders of magnitude. Our results demonstrate that suspended membranes of van der Waals magnets provide a robust and highly tunable platform for magnomechanics.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript claims that suspended membranes of two-dimensional van der Waals ferromagnets (e.g., CrGeTe3) with in-plane magnetization and out-of-plane mechanical oscillations exhibit large magnomechanical coupling dominated by magnetoelastic interactions. The parametric single magnon-phonon coupling rate scales linearly with pre-strain and reaches hundreds of Hz to low kHz under realistic conditions, exceeding typical YIG sphere values by more than three orders of magnitude, thereby offering a tunable platform for hybrid magnon-phonon systems.
Significance. If the modeling and numerical estimates hold, the work would be significant for magnomechanics: it identifies a 2D-material route to coupling rates three orders of magnitude stronger than conventional bulk platforms, with linear strain tunability that could enable coherent hybrid interactions and information-processing applications. The emphasis on experimentally accessible pre-strain and van der Waals parameters is a concrete strength.
major comments (2)
- The abstract states calculated coupling rates and linear scaling with pre-strain, yet the provided text supplies no explicit model equations, derivation steps, or error analysis for the magnetoelastic Hamiltonian or the resulting g_mp. Without these, the central numerical claim (hundreds of Hz to kHz) cannot be verified.
- The assertion that magnetoelastic interactions dominate all other coupling channels (magnetostatic, dipolar, etc.) in the suspended-membrane geometry requires quantitative comparison; the manuscript should show the relative magnitudes for realistic CrGeTe3 parameters and membrane dimensions.
minor comments (1)
- A table listing all material parameters (saturation magnetization, magnetoelastic coefficients, Young's modulus, pre-strain range) and their sources would improve reproducibility.
Simulated Author's Rebuttal
We thank the referee for the positive assessment of our work and the constructive comments. We have revised the manuscript to address the concerns about explicit derivations and quantitative comparisons, improving the verifiability of our central claims.
read point-by-point responses
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Referee: The abstract states calculated coupling rates and linear scaling with pre-strain, yet the provided text supplies no explicit model equations, derivation steps, or error analysis for the magnetoelastic Hamiltonian or the resulting g_mp. Without these, the central numerical claim (hundreds of Hz to kHz) cannot be verified.
Authors: We have added the explicit magnetoelastic Hamiltonian, the step-by-step derivation of the parametric coupling rate g_mp, and an error analysis based on parameter uncertainties to the main text (revised Section II). The linear scaling with pre-strain is now derived directly from the strain-dependent terms in the energy density. These additions enable direct verification of the reported rates under realistic CrGeTe3 conditions. revision: yes
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Referee: The assertion that magnetoelastic interactions dominate all other coupling channels (magnetostatic, dipolar, etc.) in the suspended-membrane geometry requires quantitative comparison; the manuscript should show the relative magnitudes for realistic CrGeTe3 parameters and membrane dimensions.
Authors: We agree that explicit comparison is required. We have added a new subsection (III.C) that computes the magnetostatic and dipolar coupling rates for CrGeTe3 using realistic parameters (M_s = 1.5e5 A/m, membrane thickness 10-50 nm, lateral dimensions 1-10 um) and pre-strains 0.1-1%. The results demonstrate that these channels are suppressed by at least two orders of magnitude relative to the magnetoelastic contribution in the suspended geometry. revision: yes
Circularity Check
No significant circularity; derivation is self-contained
full rationale
The abstract and summary describe a physical model where magnomechanical coupling arises from magnetoelastic interactions in suspended 2D ferromagnets, with the coupling rate scaling linearly with pre-strain using external material parameters for CrGeTe3. No equations or steps are shown that define the target rate in terms of itself, fit parameters to the predicted quantity, or rely on self-citations for load-bearing uniqueness theorems or ansatzes. The comparison to YIG values is an external benchmark. The chain rests on standard magnetoelastic physics and realistic experimental assumptions rather than reducing to tautological inputs.
Axiom & Free-Parameter Ledger
free parameters (1)
- pre-strain
axioms (1)
- domain assumption Magnomechanical coupling is dominated by magnetoelastic interactions
Reference graph
Works this paper leans on
-
[1]
Magnomechanical Coupling in Suspended 2D van der Waals Ferromagnets
naturally increase zero-point motion and strain, suggesting the possibility of significantly stronger magnon–phonon coupling than in suspended beams of bulk magnets [17]. These membranes can be readily in- tegrated into chip-scale architectures and offer a highly tunable platform for both magnetic and mechanical con- trol [30, 31]. Additionally, suspendin...
work page internal anchor Pith review Pith/arXiv arXiv 2026
-
[2]
Ajayan, P
P. Ajayan, P. Kim, and K. Banerjee, Two-dimensional van der waals materials, Physics Today69, 38 (2016)
2016
-
[3]
S. Das, J. A. Robinson, M. Dubey, H. Terrones, and M. Terrones, Beyond graphene: progress in novel two- dimensional materials and van der waals solids, Annual Review of Materials Research45, 1 (2015)
2015
-
[4]
A. K. Geim and I. V. Grigorieva, Van der waals het- erostructures, Nature499, 419 (2013)
2013
-
[5]
K. S. Burch, D. Mandrus, and J.-G. Park, Magnetism in two-dimensional van der waals materials, Nature563, 47 (2018)
2018
-
[6]
M. Blei, J. Lado, Q. Song, D. Dey, O. Erten, V. Pardo, R. Comin, S. Tongay, and A. Botana, Synthesis, engi- neering, and theory of 2d van der waals magnets, Applied Physics Reviews8(2021)
2021
-
[7]
S. Yang, T. Zhang, and C. Jiang, van der waals mag- nets: Material family, detection and modulation of mag- netism, and perspective in spintronics, Advanced Science 8, 2002488 (2021)
2021
-
[8]
Rahman, J
S. Rahman, J. F. Torres, A. R. Khan, and Y. Lu, Re- cent developments in van der waals antiferromagnetic 2d materials: Synthesis, characterization, and device imple- mentation, ACS nano15, 17175 (2021)
2021
-
[9]
Grubisic Cabo, D
A. Grubisic Cabo, D. Soriano, M. Guimaraes, D. Afanasiev, J. H. Garcia, I. Aguilera, M. N. Ali, S. Bhattacharyya, Y. M. Blanter, R. Bosma,et al., Roadmap on quantum magnetic materials, 2d Materials (2025)
2025
-
[10]
Bazazzadeh, M
N. Bazazzadeh, M. Hamdi, S. Park, A. Khavasi, S. M. Mohseni, and A. Sadeghi, Magnetoelastic coupling en- abled tunability of magnon spin current generation in two-dimensional antiferromagnets, Physical Review B 104, L180402 (2021)
2021
-
[11]
Y. J. Bae, T. Handa, Y. Dai, J. Wang, H. Liu, A. Scheie, D. G. Chica, M. E. Ziebel, A. D. Kent, X. Xu,et al., Transient magnetoelastic coupling in CrSBr, Physical Review B109, 104401 (2024)
2024
-
[12]
Mart´ ınez-Carracedo, A
G. Mart´ ınez-Carracedo, A. Garc´ ıa-Fuente, L. Oroszl´ any, L. Szunyogh, and J. Ferrer, Tuning magnetic exchange interactions in two-dimensional magnets: The case of CrGeX3(X Se,Te) and janus Cr 2Ge2(Se,Te)3 monolay- ers, Physical Review B110, 184406 (2024)
2024
-
[13]
Suzuki, B
M. Suzuki, B. Gao, G. Shibata, S. Sakamoto, Y. Non- aka, K. Ikeda, Z. Chi, Y.-X. Wan, T. Takeda, Y. Takeda, et al., Magnetic anisotropy of the van der waals ferro- magnet Cr 2Ge2Te6 studied by angular-dependent x-ray magnetic circular dichroism, Physical Review Research 4, 013139 (2022)
2022
-
[14]
Y. Liu, L. Wu, X. Tong, J. Li, J. Tao, Y. Zhu, and C. Petrovic, Thickness-dependent magnetic order in CrI3 single crystals, Scientific Reports9, 13599 (2019)
2019
-
[15]
Huang, G
B. Huang, G. Clark, E. Navarro-Moratalla, D. R. Klein, R. Cheng, K. L. Seyler, D. Zhong, E. Schmidgall, M. A. McGuire, D. H. Cobden,et al., Layer-dependent ferro- magnetism in a van der waals crystal down to the mono- layer limit, Nature546, 270 (2017)
2017
-
[16]
C. A. Potts, E. Varga, V. A. Bittencourt, S. V. Kusmin- skiy, and J. P. Davis, Dynamical backaction magnome- chanics, Physical Review X11, 031053 (2021)
2021
-
[17]
Baghdasaryan and Z
G. Baghdasaryan and Z. Danoyan,Magnetoelastic waves (Springer, 2017)
2017
-
[18]
K. S. Kansanen, C. Tassi, H. Mishra, M. A. Sillanp¨ a¨ a, and T. T. Heikkil¨ a, Magnomechanics in suspended mag- netic beams, Physical Review B104, 214416 (2021)
2021
-
[19]
Zhang, C.-L
X. Zhang, C.-L. Zou, L. Jiang, and H. X. Tang, Cavity magnomechanics, Science advances2, e1501286 (2016)
2016
-
[20]
Potts, Y
C. Potts, Y. Huang, V. Bittencourt, S. Viola Kusminskiy, and J. Davis, Dynamical backaction evading magnome- chanics, Physical Review B107, L140405 (2023)
2023
-
[21]
Bittencourt, C
V. Bittencourt, C. Potts, Y. Huang, J. Davis, and S. Vi- ola Kusminskiy, Magnomechanical backaction corrections due to coupling to higher-order walker modes and kerr nonlinearities, Physical Review B107, 144411 (2023)
2023
-
[22]
Aspelmeyer, T
M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, Cavity optomechanics, Reviews of Modern Physics86, 1391 (2014)
2014
-
[23]
Wallucks, I
A. Wallucks, I. Marinkovi´ c, B. Hensen, R. Stockill, and S. Gr¨ oblacher, A quantum memory at telecom wave- lengths, Nature Physics16, 772 (2020)
2020
-
[24]
Fiaschi, B
N. Fiaschi, B. Hensen, A. Wallucks, R. Benevides, J. Li, T. P. M. Alegre, and S. Gr¨ oblacher, Optomechanical quantum teleportation, Nature Photonics15, 817 (2021)
2021
-
[25]
Zuo, Z.-Y
X. Zuo, Z.-Y. Fan, H. Qian, M.-S. Ding, H. Tan, H. Xiong, and J. Li, Cavity magnomechanics: from clas- sical to quantum, New Journal of Physics26, 031201 (2024)
2024
-
[26]
Hatanaka, M
D. Hatanaka, M. Asano, H. Okamoto, Y. Kunihashi, H. Sanada, and H. Yamaguchi, On-chip coherent trans- duction between magnons and acoustic phonons in cavity magnomechanics, Physical Review Applied17, 034024 (2022)
2022
-
[27]
Engelhardt, V
F. Engelhardt, V. A. Bittencourt, H. Huebl, O. Klein, 10 and S. V. Kusminskiy, Optimal broadband frequency conversion via a magnetomechanical transducer, Physi- cal Review Applied18, 044059 (2022)
2022
- [28]
-
[29]
Sarma, T
B. Sarma, T. Busch, and J. Twamley, Cavity magnome- chanical storage and retrieval of quantum states, New Journal of Physics23, 043041 (2021)
2021
-
[30]
ˇSiˇ skins, M
M. ˇSiˇ skins, M. Lee, S. Ma˜ nas-Valero, E. Coronado, Y. M. Blanter, H. S. van der Zant, and P. G. Steeneken, Mag- netic and electronic phase transitions probed by nanome- chanical resonators, Nature communications11, 2698 (2020)
2020
-
[31]
C. W. Zollitsch, S. Khan, V. T. T. Nam, I. A. Verzh- bitskiy, D. Sagkovits, J. O’Sullivan, O. W. Kennedy, M. Strungaru, E. J. Santos, J. J. Morton,et al., Probing spin dynamics of ultra-thin van der waals magnets via photon-magnon coupling, Nature communications14, 2619 (2023)
2023
-
[32]
J. T. Gish, D. Lebedev, T. W. Song, V. K. Sangwan, and M. C. Hersam, Van der waals opto-spintronics, Nature Electronics7, 336 (2024)
2024
-
[33]
K. I. Bolotin, K. Sikes, Z. Jiang, M. Klima, G. Fudenberg, J. Hone, P. Kim, and H. L. Stormer, Ultrahigh electron mobility in suspended graphene, Solid state communica- tions146, 351 (2008)
2008
-
[34]
Jiang, H
S. Jiang, H. Xie, J. Shan, and K. F. Mak, Exchange mag- netostriction in two-dimensional antiferromagnets, Na- ture materials19, 1295 (2020)
2020
-
[35]
Bermejillo-Seco, X
A. Bermejillo-Seco, X. Zhang, M. J. Houmes, M. ˇSiˇ skins, H. S. Van Der Zant, P. G. Steeneken, and Y. M. Blanter, Thermoelastic damping across the phase transition in van der waals magnets, Physical Review B111, 245409 (2025)
2025
-
[36]
M. J. Houmes, G. Baglioni, M. ˇSiˇ skins, M. Lee, D. L. Esteras, A. M. Ruiz, S. Ma˜ nas-Valero, C. Boix- Constant, J. J. Baldov´ ı, E. Coronado,et al., Magnetic order in 2d antiferromagnets revealed by spontaneous anisotropic magnetostriction, Nature Communications 14, 8503 (2023)
2023
-
[37]
Pernpeintner, R
M. Pernpeintner, R. B. Holl¨ ander, M. J. Seitner, E. M. Weig, R. Gross, S. T. B. Goennenwein, and H. Huebl, A versatile platform for magnetostriction measurements in thin films, Journal of Applied Physics119(2016)
2016
-
[38]
Schwienbacher, M
D. Schwienbacher, M. Pernpeintner, L. Liensberger, E. R. Edwards, H. T. Nembach, J. M. Shaw, M. Weiler, R. Gross, and H. Huebl, Magnetoelasticity of Co 25Fe75 thin films, Journal of applied physics126(2019)
2019
-
[39]
L. Chen, C. Mao, J.-H. Chung, M. B. Stone, A. I. Kolesnikov, X. Wang, N. Murai, B. Gao, O. Delaire, and P. Dai, Anisotropic magnon damping by zero- temperature quantum fluctuations in ferromagnetic Cr- GeTe3, Nature communications13, 4037 (2022)
2022
-
[40]
A. R. McCray, Y. Li, E. Qian, Y. Li, W. Wang, Z. Huang, X. Ma, Y. Liu, D. Y. Chung, M. G. Kanatzidis,et al., Direct observation of magnetic bubble lattices and mag- netoelastic effects in van der waals Cr2Ge2Te6, Advanced Functional Materials33, 2214203 (2023)
2023
-
[41]
Z. Wang, L. Philippe, and J. Elias, Deflection of sus- pended graphene by a transverse electric field, Physical Review B—Condensed Matter and Materials Physics81, 155405 (2010)
2010
-
[42]
S. Khan, C. Zollitsch, D. Arroo, H. Cheng, I. Verzhbit- skiy, A. Sud, Y. Feng, G. Eda, and H. Kurebayashi, Spin dynamics study in layered van der waals single-crystal Cr2Ge2Te6, Physical Review B100, 134437 (2019)
2019
-
[43]
H. Xu, K. Jia, Y. Huang, F. Meng, Q. Zhang, Y. Zhang, C. Cheng, G. Lan, J. Dong, J. Wei,et al., Electrical de- tection of spin pumping in van der waals ferromagnetic Cr2Ge2Te6 with low magnetic damping, Nature Commu- nications14, 3824 (2023)
2023
-
[44]
D. D. Stancil and A. Prabhakar,Spin waves, Vol. 5 (Springer, 2009)
2009
-
[45]
S. M. Rezende, A. Azevedo, and R. L. Rodr´ ıguez-Su´ arez, Introduction to antiferromagnetic magnons, Journal of Applied Physics126(2019)
2019
-
[46]
S. D. Senturia,Microsystem design(Springer Science & Business Media, 2005)
2005
-
[47]
Lardies, O
J. Lardies, O. Arbey, and M. Berthillier, Analysis of the pull-in voltage in capacitive mechanical sensors, Interna- tional Conference on Multidisciplinary Design Optimiza- tion and Applications (2010)
2010
-
[48]
P. G. Steeneken, R. J. Dolleman, D. Davidovikj, F. Ali- jani, and H. S. J. van der Zant, Dynamics of 2d material membranes, 2D Materials8, 042001 (2021)
2021
-
[49]
C. Chen, V. V. Deshpande, M. Koshino, S. Lee, A. Gondarenko, A. H. MacDonald, P. Kim, and J. Hone, Modulation of mechanical resonance by chemical po- tential oscillation in graphene, Nature Physics12, 240 (2016)
2016
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