Pith. sign in

REVIEW 4 major objections 6 minor 56 references

Acoustic Tweezers for Magnetic Skyrmions

T0 review · 4 major / 6 minor · reviewed 2026-08-15 · deepseek-v4-flash

Challenge this review Re-run · record.json Download PDF Read on arXiv ↗ Review JSON

Pith's one-line read The paper claims that a spatially confined longitudinal acoustic beam can trap and route individual magnetic skyrmions through its phonon spin, rather than driving skyrmion ensembles as a whole.

desk verdict A plausible new mechanism for single-skyrmion control via phonon spin, with a genuine derivation gap in the central force law that should be fixed before acceptance. read the letter →

arxiv 2608.13055 v1 pith:35TM5S7G submitted 2026-08-13 cond-mat.mes-hall

Chongzhou Wang , Weichao Yu This is my paper · ORCID
classification cond-mat.mes-hall
keywords magneticskyrmionacoustictweezerphononspinmagnetoelasticcouplingradiationforcepolarityLandau-Lifshitz-Gilbertreconfigurabletrapping
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

This paper proposes an acoustic tweezer that can trap and route a single magnetic skyrmion, rather than pushing an entire ensemble. The key idea is that a longitudinal sound wave squeezed into a Gaussian beam develops a local elliptical polarization, or phonon spin, whose handedness flips across the beam center. Through magnetoelastic coupling, this field chirality acts selectively on skyrmion polarity: the paper derives a radiation force F_rad ∝ −Q ∇ S_p,z that pulls a polarity Q=−1 skyrmion toward the phonon-spin maximum and repels it from the minimum. Two crossed beams turn these attractive lines into a reconfigurable point, and numerical simulations show a single skyrmion following phase-modulated paths. If correct, the scheme would give deterministic, non-destructive, on-chip control of individual topological bits.

What carries the argument

The load-bearing object is the phonon spin density of a Gaussian longitudinal acoustic beam, S_p,z = $2ρu_0^{2}$ c_l (y/$δ^{2}$)$e^{{−2y^2/δ^2}}$, an odd function of the transverse coordinate. Enforcing the irrotational constraint for a pure longitudinal mode forces a π/2-phase-shifted transverse displacement, so lattice vibrations are elliptically polarized with opposite handedness on the two sides of the beam axis. The magnetoelastic effective-field chirality C_H shares the same odd envelope, establishing the parity lock. The force itself is produced by the dissipative part χ″ of the magnetic susceptibility contracted with the field combination h_s ∇ h_c − h_c ∇ h_s, yielding the non-conservative radiation force F_rad ∝ −Q ∇ S_p,z; a generalized Thiele equation with an effective mass M describes the resulting quasi-Newtonian skyrmion motion.

What would settle it

Launch a single Gaussian longitudinal beam (λ ≈ 600 nm, δ ≈ 400 nm) at a Q=−1 skyrmion initialized on the beam axis and watch its equilibrium position: the paper predicts migration to the positive phonon-spin maximum near y≈δ/2 for large λ/R_sk, and migration to the opposite side for Q=+1. Settling elsewhere, initial-position-dependent trapping, or an outward trajectory would falsify the central force law.

Watch

Extended reading notes

Core claim

The central claim is that a spatially confined longitudinal acoustic beam carries nonzero phonon spin, producing a magnetoelastic effective field whose chirality is parity-locked to that spin, and that this coupling generates a dissipative radiation force, F_rad ∝ −Q ∇_R S_p,z(R), with the sign set by skyrmion polarity Q. Consequently a Q=−1 skyrmion migrates to the local maximum of positive phonon spin and is expelled from the negative-spin region; reversing Q inverts the trap. The paper further claims that superimposing two orthogonal beams makes their attractive lines intersect in a movable attractive point, and that quasi-static phase modulation routes a captured skyrmion along programmable trajectories with sub-nanometer precision.

Load-bearing premise

The effect hinges on the asserted sign of the dissipative-response integral—the paper states, rather than derives, that it gives F_rad ∝ −Q times the local phonon spin with a positive coefficient, while also treating a fixed-waist Gaussian beam as a legitimate acoustic field even though it is not an exact elastic solution.

Editorial extensions

If this is right

  • A skyrmion in a dense ensemble can be singled out and held at a reconfigurable point, something global driving fields cannot do.
  • Phase modulation of one crossed beam translates the attractive point, so closed-loop routing along arbitrary paths follows from phase control alone.
  • Flipping the skyrmion's core polarity flips the direction of the force, giving a built-in polarity-selective sorting mechanism.
  • The equilibrium position depends on acoustic wavelength and beam waist, so the trap geometry is tunable by choosing the drive frequency.
  • Because no charge current flows through the film, the manipulation is non-destructive and compatible with planar thin-film transducers.

Reading between the lines

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

  • Editorial inference: the same field-chirality/spin parity lock suggests this mechanism could sort other chiral textures such as magnetic vortices and chiral domain walls, which the paper mentions as an isomorphism but does not demonstrate.
  • Editorial inference: because the radiation force enters through the dissipative susceptibility χ″, materials with higher Gilbert damping should capture skyrmions faster, a trade-off the paper does not quantify.
  • Editorial inference: a direct way to test Eq. (8) is to initialize a Q=−1 skyrmion on the beam axis and measure its equilibrium transverse displacement; the predicted plateau near y≈δ/2 for λ≫R_sk is a quantitative fingerprint of the force law.
Share X Bluesky LinkedIn Reddit HN

Signed reviews

No signed human review yet.

Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

4 major / 6 minor

Summary. The paper proposes an "acoustic tweezer" for individual magnetic skyrmions, based on the phonon spin carried by a spatially confined Gaussian longitudinal acoustic beam. The authors show that the transverse decay of such a beam induces an elliptical polarization with odd-parity phonon spin density S_p,z, and that the resulting magnetoelastic effective field has a chirality with the same odd parity. They then argue, via a perturbative force decomposition, that a dissipative radiation force F_rad ∝ -Q ∇ S_p,z(R) attracts a skyrmion of polarity Q to the local maximum of S_p,z, and support this claim with micromagnetic simulations that show quasi-static migration to attractive lines. Superimposing two orthogonal beams yields a reconfigurable attractive point, and the paper demonstrates selective trapping and routing of a single skyrmion in a multi-skyrmion ensemble.

Significance. If the central force law and its polarity dependence were rigorously established, the proposed mechanism would offer a non-destructive, reconfigurable route to single-skyrmion manipulation, complementing existing global-drive approaches and potentially extending to other chiral quasiparticles. The conceptual shift to a "global-field-local-interaction" paradigm is creative, the phonon-spin/chirality parity correspondence is clearly identified, and the simulation results provide a proof-of-principle demonstration of the trapping behavior. The paper also gives a formal decomposition of the force into gradient and radiation parts, which is a useful framework. However, the key analytic step connecting this formalism to the specific trapping force is asserted rather than derived, and the simulations do not yet close that gap.

major comments (4)
  1. [Appendix 'Microscopic derivation of the magnetoelastic radiation force', Eqs. (58)-(60)] The central result F_rad,y ∝ -Q · S_p,z(R) · A(ω,α) with A(ω,α)>0 is asserted without performing the integration over the skyrmion texture. Equation (58) expresses F_rad as an integral of χ''_jk (h_s,k ∇ h_c,j - h_c,k ∇ h_s,j). The field combination is a specific function of the local strain profile (for the present beam, proportional to y exp(-2y^2/δ^2) times the magnetization-dependent coefficients), while χ''_jk depends on the skyrmion texture centered at R. The convolution of these two functions is not generally proportional to S_p,z(R); it can contain derivatives or higher moments of the beam profile, and its sign can depend on the skyrmion profile. Because Eq. (8) of the main text and the polarity-selective trapping prediction rest on this step, the analytic foundation of the proposed mechanism is currently unproven.
  2. [Appendix 'Derivation of the phonon-spin-induced magnetoelastic chirality', Eqs. (9)-(12)] The Gaussian beam displacement u_x = u0 e^{-y^2/δ^2} cos(kx-ωt) and the derived u_y satisfy the irrotational condition, but the manuscript does not show that this pair satisfies the elastic wave equation. For a longitudinal mode in an isotropic medium, one needs ρ ∂_t^2 u = (λ+2μ) ∇(∇·u) when ∇×u=0. For the Gaussian ansatz, ∇(∇·u) is not proportional to u because the y-dependent terms in the divergence remain, so the ansatz is at best a paraxial approximation. The paper neither states this approximation nor gives its validity conditions, yet the phonon spin density Eq. (1) and the field chirality Eq. (4) are presented as exact results derived from this ansatz. The range of beam parameters for which the proposed mechanism operates is therefore left unspecified.
  3. [Appendix 'Microscopic derivation...', Eq. (53)] The linear response δm_j(r,t)=Σ_k χ_jk H_me,k(r,t) assumes a locally diagonal susceptibility. For a skyrmion texture, the response to a spatially varying field is in general nonlocal, δm(r,t)=∫ d^2r' χ(r,r') H_me(r',t), because exchange and DMI couple different spatial points. The reduction of the force integral in Eq. (58) to a contraction of χ''_jk(r-R) with a local field combination is therefore not justified without an additional argument. Since the sign and magnitude of a nonlocal response could affect the texture integral, this assumption is load-bearing for Eq. (60).
  4. [Numerical modeling, Fig. 2 and Eq. (8)] The simulations demonstrate trapping for one skyrmion polarity (Q=-1) at a drive amplitude u0=5 nm, but the predicted Q-scaling of the force is never tested (no Q=+1 simulation is reported), and the quantitative relationship between the measured equilibrium position and the spin-maximum position y=δ/2 or its finite-R_sk/δ correction in Fig. 2(d) is not established. At u0=5 nm, the perturbative assumptions of the analytic derivation (|δm|≪1 and the small-deformation regime M≈M0) are also not verified. The simulations therefore cannot distinguish the proposed radiation force from other dissipation-driven effects or confirm the general force law in Eq. (8).
minor comments (6)
  1. [Introduction, reference list] The citation "[5?]" in the introduction appears to be a typo; please check the intended reference and fix the numbering.
  2. [Throughout] The three appendices are not labeled; please assign letters (e.g., Appendix A, B, C) and refer to them consistently in the main text.
  3. [Eq. (6)] The notation ⟨U̇⟩_T is introduced without defining U̇; please define the Rayleigh dissipation function explicitly or use a different symbol, such as P_diss.
  4. [Eq. (4) and following text] The phrase "complete expression given in Appendix" is vague because the appendix does not actually display the complete expression with all coefficients; please provide it explicitly.
  5. [Generalized Thiele equation, Eqs. (7) and (42)-(45)] The effective mass M is defined as a tensor but is then used as a scalar in the component equations; please specify the assumed structure of the mass tensor (e.g., diagonal and isotropic) or discuss the general case.
  6. [Fig. 3(c)-(f)] The caption for Fig. 3 does not specify the phase values, the color scales, or the simulation parameters for the routing demonstration; please add these details so the results are reproducible.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the acoustically driven skyrmion trapping is established by direct micromagnetic simulation, while the analytic force law is asserted rather than fitted, and self-citations are not load-bearing.

full rationale

The central claim, F_rad ∝ −Q ∇R S_p,z(R) (Eq. 8), is an analytical statement that the paper presents after a perturbative decomposition of the magnetoelastic force into reactive and dissipative parts. The trapping behavior is demonstrated by direct LLG micromagnetic simulations with the full magnetoelastic field, independent of the analytic force law. The force law is not fitted to the simulated trajectories; the only fitted quantity is the skyrmion effective mass, which is used to describe trajectory nonlinearity and is not the source of the predicted polarity-selective attraction. The parity correspondence between the phonon spin S_p,z and the magnetoelastic field chirality C_H is computed from the same Gaussian-beam displacement ansatz, but it is a nontrivial algebraic result, not a definitional identity with the force law. The main derivation gap is that the appendix states, rather than derives, that the skyrmion texture integral of the antisymmetric dissipative coupling reduces to −Q S_p,z(R) A(ω,α) (Eq. 60); this is an unsubstantiated step and a correctness risk, but it is not circular because no quantity in that equation is defined in terms of the claimed force, and the simulations do not assume the force law. Self-citations (refs. 42, 43, 50–53) provide numerical methods, material parameters, and prior experimental context; none of them is invoked to force the central conclusion. Therefore no step in the paper reduces to its own inputs by construction, and the circularity score is 0.

Assumptions & free parameters 4 free parameters · 5 assumptions · 0 invented entities

No new physical entities are introduced; phonon spin and magnetoelastic coupling are established concepts. The radiation force is a derived effect, not a new entity. The main free parameters are the chosen acoustic beam properties and the effective skyrmion mass fitted to simulation trajectories.

free parameters (4)
  • u0 = 5 nm
    Peak acoustic displacement amplitude chosen for the simulations; large enough to accelerate numerical convergence but strains the linear-response assumption.
  • delta (beam waist) = 400 nm
    Chosen beam waist; sets the scale of the phonon spin gradient and the trapping region.
  • lambda (acoustic wavelength) = 600 nm
    Chosen wavelength corresponding to about 12 GHz; the paper notes the optimal window is lambda around R_sk, but 600 nm is about 22 R_sk.
  • effective skyrmion mass M = position-dependent, fitted from trajectories
    Extracted by fitting simulation trajectories to the generalized Thiele equation (Appendix Eqs. 47-48); used to explain deviations from rigid-body dynamics.
assumptions (5)
  • domain assumption The Gaussian longitudinal beam ansatz u_x = u0 exp(-y^2/delta^2) cos(kx - omega t), with u_y obtained from the irrotational constraint, is a valid acoustic field in the film.
    The field does not exactly satisfy the elastic wave equation since it requires A'' = 0; the paraxial approximation is implicitly used but not stated.
  • domain assumption One-way coupling: the skyrmion drift velocity is far below the sound velocity, so the acoustic field is unaffected by the skyrmion.
    Stated in the text as justification for neglecting back-action; reasonable but not quantified in detail.
  • domain assumption The magnetoelastic energy density has the standard cubic form E_me = b1 sum_i eps_ii m_i^2 + b2 sum_(i neq j) eps_ij m_i m_j with constants from prior work.
    Standard textbook form originating from Kittel; specific coefficients b1 and b2 are taken from cited references.
  • domain assumption Magnetic moments precess with exclusively right-handed chirality around effective fields, so the sign of the chirality mismatch sets the dissipation level.
    Used to argue the polarity selectivity; depends on the gyromagnetic sign convention (gamma positive) and is stated without proof.
  • ad hoc to paper The dissipative susceptibility chi'' contains an antisymmetric component whose contraction with the field chirality yields the force, and the spectral function A(omega, alpha) is positive.
    This is the unproven lemma at the core of Eq. (8); the paper does not explicitly compute the integral over the skyrmion texture.

how reviews work

0 comments
Cite this review

Pith. "Pith review of Acoustic Tweezers for Magnetic Skyrmions." pith.science (2026). https://pith.science/paper/35TM5S7G

@misc{pith2026260813055,
  author       = {Pith},
  title        = {Pith review of: Acoustic Tweezers for Magnetic Skyrmions},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/35TM5S7G}},
  note         = {Machine review of arXiv:2608.13055}
}
read the original abstract

Current methods for driving magnetic skyrmions predominantly translate ensembles as a whole, lacking single-particle selectivity. Here, we propose an "acoustic tweezer" that deterministically traps and routes individual skyrmions using spatially extended acoustic beams. We reveal that spatially confined longitudinal waves carry nontrivial phonon spin, inducing a magnetoelastic field whose chirality is locked to the acoustic spin texture. This generates polarity-selective radiation forces, distinct from conservative gradient forces, that attract skyrmions to local phonon spin maxima. Intersecting orthogonal beams create reconfigurable attractive points for adiabatic, deterministic manipulation. Our global-field-local-interaction paradigm establishes a non-destructive, on-chip route for high-precision topological spintronics.

Figures

Figures reproduced from arXiv: 2608.13055 by the authors.

Figure 1
Figure 1. Spin-lattice interactions mediate magnetoelastic coupling between the elastic and magnetic subsystems. For a cu￾bic lattice, the magnetoelastic energy density is Eme = b1 P i εiim2 i + b2 P i̸=j εijmimj [46–48], where εij = 1 2 (∂iuj + ∂jui) is the strain tensor, m is the unit magneti￾zation vector, and b1, b2 are the magnetoelastic coupling coef￾ficients. The dominant in-plane strain components generated by the Gau… view at source ↗
Figure 2
Figure 2. Skyrmion dynamics under a single Gaussian longitudinal acoustic beam propagating along [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Two-dimensional trapping and routing via orthogonal acoustic tweezers. The acoustic period is [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗

Discussion (0). Continue with ORCID to comment.

Reference graph

Works this paper leans on

56 extracted references · 49 canonical work pages

  1. [1]

    D. G. Grier, Nature424, 810 (2003)

    2003

  2. [2]

    D. Gao, W. Ding, M. Nieto-Vesperinas, X. Ding, M. Rahman, T. Zhang, C. Lim, and C.-W. Qiu, Light: Science & Applica- tions6, e17039 (2017)

    work page 2017

  3. [3]

    Ozcelik, J

    A. Ozcelik, J. Rufo, F. Guo, Y . Gu, P. Li, J. Lata, and T. J. Huang, Nature Methods15, 1021 (2018)

    work page 2018

  4. [4]

    ˇCižmár, M

    T. ˇCižmár, M. Mazilu, and K. Dholakia, Nature Photonics4, 388 (2010)

    work page 2010

  5. [5]

    Memmolo, L

    P. Memmolo, L. Miccio, M. Paturzo, G. D. Caprio, G. Coppola, 6 P. A. Netti, and P. Ferraro, Adv. Opt. Photon.7, 713 (2015)

    work page 2015

  6. [6]

    L. Lin, M. Wang, X. Peng, E. N. Lissek, Z. Mao, L. Scarabelli, E. Adkins, S. Coskun, H. E. Unalan, B. A. Korgel, L. M. Liz- Marzán, E.-L. Florin, and Y . Zheng, Nature Photonics12, 195 (2018)

    work page 2018

  7. [7]

    Novotny, R

    L. Novotny, R. X. Bian, and X. S. Xie, Phys. Rev. Lett.79, 645 (1997)

    work page 1997

  8. [8]

    Krishnan, N

    M. Krishnan, N. Mojarad, P. Kukura, and V . Sandoghdar, Na- ture467, 692 (2010)

    work page 2010

Show all 56 references
  1. [9]

    Orazbayev, M

    B. Orazbayev, M. Malléjac, N. Bachelard, S. Rotter, and R. Fleury, Nature Physics20, 1441 (2024)

    2024

  2. [10]

    Marzo, S

    A. Marzo, S. A. Seah, B. W. Drinkwater, D. R. Sahoo, B. Long, and S. Subramanian, Nature Communications6, 8661 (2015)

    2015

  3. [11]

    Ding, S.-C

    X. Ding, S.-C. S. Lin, B. Kiraly, H. Yue, S. Li, I.-K. Chiang, J. Shi, S. J. Benkovic, and T. J. Huang, Proceedings of the Na- tional Academy of Science109, 11105 (2012)

    2012

  4. [12]

    P. Li, Z. Mao, Z. Peng, L. Zhou, Y . Chen, P.-H. Huang, C. I. Truica, J. J. Drabick, W. S. El-Deiry, M. Dao, S. Suresh, and T. J. Huang, Proceedings of the National Academy of Sciences112, 4970 (2015), https://www.pnas.org/doi/pdf/10.1073/pnas.1504484112

    2015 doi

  5. [13]

    J. Shi, D. Ahmed, X. Mao, S.-C. S. Lin, A. Lawit, and T. J. Huang, Lab Chip9, 2890 (2009)

    2009

  6. [14]

    F. Guo, Z. Mao, Y . Chen, Z. Xie, J. P. Lata, P. Li, L. Ren, J. Liu, J. Yang, M. Dao, S. Suresh, and T. J. Huang, Proceed- ings of the National Academy of Sciences113, 1522 (2016), https://www.pnas.org/doi/pdf/10.1073/pnas.1524813113

    2016 doi

  7. [15]

    Marzo and B

    A. Marzo and B. W. Drinkwater, Proceedings of the National Academy of Sciences116, 84 (2019), https://www.pnas.org/doi/pdf/10.1073/pnas.1813047115

    2019 doi

  8. [16]

    S. C. Takatori, R. De Dier, J. Vermant, and J. F. Brady, Nature Communications7, 10694 (2016)

    2016

  9. [17]

    Ahmed, A

    D. Ahmed, A. Ozcelik, N. Bojanala, N. Nama, A. Upadhyay, Y . Chen, W. Hanna-Rose, and T. J. Huang, Nature Communi- cations7, 11085 (2016)

    2016

  10. [18]

    G. S. D. Beach, C. Nistor, C. Knutson, M. Tsoi, and J. L. Ersk- ine, Nature Materials4, 741 (2005)

    2005

  11. [19]

    Hayashi, L

    M. Hayashi, L. Thomas, Y . B. Bazaliy, C. Rettner, R. Moriya, X. Jiang, and S. S. P. Parkin, Phys. Rev. Lett.96, 197207 (2006)

    2006

  12. [20]

    Moon, D.-H

    K.-W. Moon, D.-H. Kim, S.-G. Je, B. S. Chun, W. Kim, Z. Q. Qiu, S.-B. Choe, and C. Hwang, Scientific Reports6, 20360 (2016)

    2016

  13. [21]

    C. Wang, D. Xiao, X. Chen, Y . Zhou, and Y . Liu, New Journal of Physics19, 083008 (2017)

    2017

  14. [22]

    Tatara and H

    G. Tatara and H. Kohno, Phys. Rev. Lett.92, 086601 (2004)

    2004

  15. [23]

    M. T. Birch, I. Belopolski, Y . Fujishiro, M. Kawamura, A. Kikkawa, Y . Taguchi, M. Hirschberger, N. Nagaosa, and Y . Tokura, Nature633, 554 (2024)

    2024

  16. [24]

    Huang, G

    L. Huang, G. Burnell, and C. H. Marrows, Phys. Rev. B107, 224418 (2023)

    2023

  17. [25]

    Ma, Q.-S

    X.-P. Ma, Q.-S. Wang, K. Tian, X.-X. Yang, H. Zhang, Z. Luo, and H.-G. Piao, Applied Physics Letters127, 132404 (2025)

    2025

  18. [26]

    Lepadatu, Phys

    S. Lepadatu, Phys. Rev. Appl.19, 044036 (2023)

    2023

  19. [27]

    J. Kim, S. Yang, D. Kim, K.-W. Moon, C. Kim, C. Hwang, and M.-K. Seo, Nature Communications16, 11375 (2025)

    2025

  20. [28]

    Mochizuki, X

    M. Mochizuki, X. Z. Yu, S. Seki, N. Kanazawa, W. Koshibae, J. Zang, M. Mostovoy, Y . Tokura, and N. Nagaosa, Nature Ma- terials13, 241 (2014)

    2014

  21. [29]

    Jiang, H

    Y . Jiang, H. Y . Yuan, Z.-X. Li, Z. Wang, H. W. Zhang, Y . Cao, and P. Yan, Phys. Rev. Lett.124, 217204 (2020)

    2020

  22. [30]

    Rivelles, R

    A. Rivelles, R. Yanes, L. Torres, M. Abuín, J. Grandal, M. Sepehr, G. Orero-Gámez, R. Guedas, L. Fernández-García, R. Izquierdo-López, M. Maicas, M. d. Mar Sanz, J. Pedrós, F. Calle, S. Ruiz-Gómez, M. W. Khaliq, M. A. Niño, S. Vélez, M. Foerster, L. López-Díaz, and J. L. Priet...

    2025

  23. [31]

    Schwenke, E

    P. Schwenke, E. Spindler, V . I. Vasyuchka, A. A. Hamadeh, P. Pirro, and M. Weiler, Phys. Rev. B112, 214409 (2025)

    2025

  24. [32]

    Khoshlahni, S

    R. Khoshlahni, S. Lepadatu, M. Kouhi, and M. Mohseni, Phys. Rev. B107, 144421 (2023)

    2023

  25. [33]

    Shuai, L

    J. Shuai, L. Lopez-Diaz, J. E. Cunningham, and T. A. Moore, Applied Physics Letters124, 202407 (2024)

    2024

  26. [34]

    Miyazaki, T

    Y . Miyazaki, T. Yokouchi, and Y . Shiomi, Scientific Reports13, 1922 (2023)

    2023

  27. [35]

    R. Chen, C. Chen, L. Han, P. Liu, R. Su, W. Zhu, Y . Zhou, F. Pan, and C. Song, Nature Communications14, 4427 (2023)

    2023

  28. [36]

    Y . Yang, L. Zhao, D. Yi, T. Xu, Y . Chai, C. Zhang, D. Jiang, Y . Ji, D. Hou, W. Jiang, J. Tang, P. Yu, H. Wu, and T. Nan, Nature Communications15, 1018 (2024)

    2024

  29. [37]

    Y . Long, J. Ren, and H. Chen, Proceedings of the National Academy of Sciences115, 9951 (2018), https://www.pnas.org/doi/pdf/10.1073/pnas.1808534115

    2018 doi

  30. [38]

    C. Yang, D. Zhang, J. Zhao, W. Gao, W. Yuan, Y . Long, Y . Pan, H. Chen, F. Nori, K. Y . Bliokh, Z. Zhong, and J. Ren, Phys. Rev. Lett.131, 136102 (2023)

    2023

  31. [39]

    W. Yuan, C. Yang, D. Zhang, Y . Long, Y . Pan, Z. Zhong, H. Chen, J. Zhao, and J. Ren, Nature Communications12, 6954 (2021)

    2021

  32. [40]

    L. Liao, F. Chen, J. Puebla, J. ichiro Kishine, K. Kondou, W. Luo, D. Zhao, Y . Zhang, Y . Ba, and Y . Otani, Science Advances10, eado2504 (2024), https://www.science.org/doi/pdf/10.1126/sciadv.ado2504

    2024 doi

  33. [41]

    M. Xu, K. Yamamoto, J. Puebla, K. Baumgaertl, B. Rana, K. Miura, H. Takahashi, D. Grundler, S. Maekawa, and Y . Otani, Science Advances6, eabb1724 (2020), https://www.science.org/doi/pdf/10.1126/sciadv.abb1724

    2020 doi

  34. [42]

    C. Wang, C. Hua, and W. Yu, Science China Physics, Mechan- ics & Astronomy69, 247512 (2026)

    2026

  35. [43]

    L. Zhao, C. Hua, C. Song, W. Yu, and W. Jiang, Science Bul- letin69, 2370 (2024)

    2024

  36. [44]

    Ren, Chin

    J. Ren, Chin. Phys. Lett.39, 126301 (2022)

    2022

  37. [45]

    Yang and J

    C. Yang and J. Ren, Proceedings of the National Academy of Sciences121, e2411427121 (2024), https://www.pnas.org/doi/pdf/10.1073/pnas.2411427121

    2024 doi

  38. [46]

    Kittel, Phys

    C. Kittel, Phys. Rev.110, 836 (1958)

    1958

  39. [47]

    Dreher, M

    L. Dreher, M. Weiler, M. Pernpeintner, H. Huebl, R. Gross, M. S. Brandt, and S. T. B. Goennenwein, Phys. Rev. B86, 134415 (2012)

    2012

  40. [48]

    Yu, Phys

    T. Yu, Phys. Rev. B102, 134417 (2020)

    2020

  41. [49]

    Kittel, Phys

    C. Kittel, Phys. Rev.73, 155 (1948)

    1948

  42. [50]

    J. Lan, W. Yu, R. Wu, and J. Xiao, Phys. Rev. X5, 041049 (2015)

    2015

  43. [51]

    T. Sato, W. Yu, S. Streib, and G. E. W. Bauer, Phys. Rev. B104, 014403 (2021)

    2021

  44. [52]

    COMSOL Multiphysics®v. 5.6. www.comsol.com. COMSOL AB, Stockholm, Sweden

  45. [53]

    Zhang, W

    J. Zhang, W. Yu, X. Chen, and J. Xiao, AIP Advances13, 055108 (2023)

    2023

  46. [54]

    Vittoria, S

    C. Vittoria, S. D. Yoon, and A. Widom, Phys. Rev. B81, 014412 (2010)

    2010

  47. [55]

    A. A. Thiele, Phys. Rev. Lett.30, 230 (1973)

    1973

  48. [56]

    Y . Q. Fu, H.-F. Pang, H. Torun, R. Tao, G. McHale, J. Reboud, K. Tao, J. Zhou, J.-t. Luo, D. Gibson, J. Luo, and P. A. Hu, Lab on a Chip21, 254 (2021). 7 DERIV A TION OF THE PHONON-SPIN-INDUCED MAGNETOELASTIC CHIRALITY Kinematic Origin of the Transverse Displacement In an iso...

    2021

Pith tools

Reviewed August 15, 2026 · model on record in the stance chip above.