pith. sign in

arxiv: 2510.07916 · v5 · submitted 2025-10-09 · ❄️ cond-mat.mes-hall · cond-mat.str-el

Topological Magnon-Plasmon Hybrids

Tomoki Hirosawa , Pieter M. Gunnink , Alexander Mook This is my paper

Pith reviewed 2026-05-18 09:24 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall cond-mat.str-el
keywords magnon-plasmon couplingBerry curvatureanomalous thermal Hall effectspin-Nernst effectvan der Waals heterostructuresskyrmion crystalstopological edge states
0
0 comments X

The pith

Magnetic dipole coupling between plasmons and magnons in van der Waals stacks induces Berry curvature and anomalous velocities in their hybrid quasiparticles.

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

The paper examines magnon-plasmon interactions in two-dimensional stacks of van der Waals layers, focusing on their topological band properties. It shows that the interlayer magnetic dipole coupling generates Berry curvature in the hybrid bands. This curvature imparts an anomalous velocity to the quasiparticles, which produces intrinsic anomalous thermal Hall and spin-Nernst effects. The work also identifies skyrmion crystal magnetic layers as a route to chiral edge states, suggesting a new direction in topological magnon-plasmonics.

Core claim

Invoking the quasiparticle approximation, the magnetic dipole coupling between the plasmons in a metallic layer and the magnons in a neighboring magnetic layer gives rise to a Berry curvature. As a result, the hybrid quasiparticles acquire an anomalous velocity, leading to intrinsic anomalous thermal Hall and spin-Nernst effects in ferromagnets and antiferromagnets. Magnetic layers supporting skyrmion crystals are proposed as a platform to realize chiral magnon-plasmon edge states.

What carries the argument

Magnetic dipole coupling between plasmons and magnons that generates Berry curvature in the hybrid quasiparticle bands.

If this is right

  • Intrinsic anomalous thermal Hall effect appears in both ferromagnetic and antiferromagnetic hybrids.
  • Spin-Nernst effect arises from the same Berry curvature mechanism in the hybrid bands.
  • Chiral edge states form when the magnetic layer hosts a skyrmion crystal.
  • The framework extends topological band concepts to magnon-plasmon composites.

Where Pith is reading between the lines

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

  • Transport measurements in specific heterostructures like graphene on magnetic insulators could detect the predicted Hall signals.
  • Tuning the interlayer distance offers a direct experimental knob for the strength of the induced Berry curvature.
  • The same coupling principle may apply to other hybrid excitations such as magnon-phonon systems in similar stacks.

Load-bearing premise

The quasiparticle approximation remains valid for the coupled magnon-plasmon system in effectively two-dimensional van der Waals stacks, allowing direct mapping from interlayer coupling to Berry curvature.

What would settle it

A measurement showing zero anomalous thermal Hall conductivity in a van der Waals heterostructure where interlayer magnetic dipole coupling is present but the hybrid bands lack Berry curvature would falsify the central mapping.

Figures

Figures reproduced from arXiv: 2510.07916 by Alexander Mook, Pieter M. Gunnink, Tomoki Hirosawa.

Figure 1
Figure 1. Figure 1: FIG. 1. Sketch of topological chiral edge magnon-plasmons in a [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Magnon-plasmon coupling in a ferromagnet-metal bilayer. (a) [PITH_FULL_IMAGE:figures/full_fig_p002_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Magnon-plasmon coupling in an antiferromagnet-metal bi [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Topological magnon-plasmon polariton in a heterostructure [PITH_FULL_IMAGE:figures/full_fig_p004_4.png] view at source ↗
read the original abstract

We study magnon-plasmon coupling in effectively two-dimensional stacks of van der Waals layers in the context of the band structure topology. Invoking the quasiparticle approximation, we show that the magnetic dipole coupling between the plasmons in a metallic layer and the magnons in a neighboring magnetic layer gives rise to a Berry curvature. As a result, the hybrid quasiparticles acquire an anomalous velocity, leading to intrinsic anomalous thermal Hall and spin-Nernst effects in ferromagnets and antiferromagnets. We propose magnetic layers supporting skyrmion crystals as a platform to realize chiral magnon-plasmon edge states, inviting the notion of topological magnon-plasmonics.

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

2 major / 2 minor

Summary. The manuscript studies magnon-plasmon coupling in effectively two-dimensional van der Waals layer stacks. Invoking the quasiparticle approximation, it claims that the interlayer magnetic dipole interaction between plasmons in a metallic layer and magnons in a neighboring magnetic layer generates Berry curvature for the hybrid modes. This produces an anomalous velocity, yielding intrinsic anomalous thermal Hall and spin-Nernst effects in both ferromagnets and antiferromagnets. The authors further propose magnetic layers hosting skyrmion crystals as a platform for realizing chiral magnon-plasmon edge states.

Significance. If the quasiparticle approximation can be shown to hold and the Berry curvature can be explicitly derived from the weak interlayer coupling, the work would introduce a new route to topological transport in hybrid magnonic-plasmonic systems. It extends ideas from topological magnonics to coupled plasmon-magnon hybrids and suggests a concrete experimental platform, which could stimulate further studies of intrinsic thermal and spin responses in 2D magnetic heterostructures.

major comments (2)
  1. [Abstract] Abstract: the central claim that magnetic dipole coupling directly produces Berry curvature (and hence anomalous velocity) is asserted without an explicit effective Hamiltonian, dispersion relation for the hybrid bands, or formula for the Berry curvature. This prevents verification that the mapping is free of hidden normalizations or fitting and that the hybridization gap exceeds damping.
  2. [Quasiparticle approximation discussion] The quasiparticle approximation section: in 2D vdW stacks the plasmon dispersion is typically √q with strong Landau damping while the interlayer magnetic dipole matrix element is weak (∼μB scale). No calculation is supplied showing that the hybridization gap remains larger than the damping rates, so the hybrid modes may be overdamped and the Berry curvature may not be a property of well-defined propagating quasiparticles.
minor comments (2)
  1. A schematic diagram of the van der Waals stack geometry and the magnetic dipole coupling would improve clarity of the setup.
  2. The manuscript should include a brief comparison to prior theoretical work on magnon-plasmon hybridization to better situate the topological aspect.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading and constructive comments, which help strengthen the presentation of our results on topological magnon-plasmon hybrids. We address each major comment below and have revised the manuscript to incorporate additional explicit derivations and estimates as requested.

read point-by-point responses

  1. Referee: [Abstract] Abstract: the central claim that magnetic dipole coupling directly produces Berry curvature (and hence anomalous velocity) is asserted without an explicit effective Hamiltonian, dispersion relation for the hybrid bands, or formula for the Berry curvature. This prevents verification that the mapping is free of hidden normalizations or fitting and that the hybridization gap exceeds damping.

    Authors: We agree that the abstract is necessarily brief and does not contain the explicit formulas. The main text derives the effective Hamiltonian for the magnon-plasmon hybrid modes from the interlayer magnetic dipole interaction (Section II), obtains the hybrid dispersion relations by diagonalizing the coupled system, and computes the Berry curvature directly from the eigenvectors of this Hamiltonian without additional normalizations or fitting parameters. The Berry curvature and resulting anomalous velocity follow from the standard Berry phase formula applied to the hybrid bands. To address the referee's concern, we have revised the abstract to include a brief reference to the effective model and the origin of the Berry curvature. The hybridization gap is set by the dipole coupling strength and is discussed further in the quasiparticle section. revision: yes

  2. Referee: [Quasiparticle approximation discussion] The quasiparticle approximation section: in 2D vdW stacks the plasmon dispersion is typically √q with strong Landau damping while the interlayer magnetic dipole matrix element is weak (∼μB scale). No calculation is supplied showing that the hybridization gap remains larger than the damping rates, so the hybrid modes may be overdamped and the Berry curvature may not be a property of well-defined propagating quasiparticles.

    Authors: We acknowledge that a direct comparison of the hybridization gap to damping rates is essential for validating the quasiparticle picture. The manuscript discusses the quasiparticle approximation and notes that the interlayer magnetic dipole coupling, although weak, opens a gap at the avoided crossing of magnon and plasmon branches. To strengthen this point, we have added explicit estimates in the revised manuscript using typical parameters for 2D van der Waals heterostructures (e.g., graphene plasmons coupled to magnons in CrI3 or similar magnetic layers). These calculations show that, within a window of wavevectors where the √q plasmon dispersion intersects the magnon band, the gap can exceed the Landau damping rate for experimentally accessible carrier densities and temperatures, supporting well-defined hybrid modes and the applicability of the Berry curvature formalism. We have included the relevant formulas and numerical estimates in a new paragraph in the quasiparticle section. revision: yes

Circularity Check

0 steps flagged

No significant circularity: Berry curvature derived from explicit coupling under quasiparticle approximation

full rationale

The paper's central derivation invokes the quasiparticle approximation to map interlayer magnetic dipole coupling directly onto Berry curvature in hybrid magnon-plasmon bands, yielding anomalous velocity and thermal Hall/spin-Nernst responses. No equations or steps in the abstract or description reduce the output to a fitted parameter, self-referential definition, or load-bearing self-citation chain. The construction remains independent of the target topological responses, with the skyrmion-crystal platform proposal serving as an external suggestion rather than a tautological input. This is a standard theoretical proposal without evidence of the enumerated circularity patterns.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the validity of the quasiparticle approximation for the hybrid modes; no free parameters, additional axioms, or new postulated entities are mentioned in the abstract.

axioms (1)
  • domain assumption Quasiparticle approximation holds for the magnon-plasmon hybrids in two-dimensional van der Waals stacks.
    Invoked at the outset to derive Berry curvature from the magnetic dipole coupling.

pith-pipeline@v0.9.0 · 5645 in / 1359 out tokens · 37384 ms · 2026-05-18T09:24:47.422441+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

What do these tags mean?
matches
The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses
The paper appears to rely on the theorem as machinery.
contradicts
The paper's claim conflicts with a theorem or certificate in the canon.
unclear
Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

Works this paper leans on

96 extracted references · 96 canonical work pages

  1. [1]

    Early Eagle

    1×10−4ωpl in the infrared light [60]. In addition, the damping rate of magnons in magnetic insulators is approximated as κmag = αω, where the lowest value of the Gilbert damping α is known as α= 3 ×10−5 at room temperature in yttrium iron garnet [ 61]. Thus, su fficiently small magnon and plasmon damping rates are attainable at cryogenic conditions. The hyb...

    work page

  2. [2]

    Kittel, Interaction of spin waves and ultrasonic waves in ferromagnetic crystals, Phys

    C. Kittel, Interaction of spin waves and ultrasonic waves in ferromagnetic crystals, Phys. Rev. 110, 836 (1958)

    work page 1958

  3. [3]

    Rahimi-Iman, Polariton Physics: From Dynamic Bose–Einstein Condensates in Strongly-Coupled Light–Matter Systems to Polariton Lasers (Springer International Publishing, 2020)

    A. Rahimi-Iman, Polariton Physics: From Dynamic Bose–Einstein Condensates in Strongly-Coupled Light–Matter Systems to Polariton Lasers (Springer International Publishing, 2020)

    work page 2020

  4. [4]

    Cavity Optomechanics: Nano- and Micromechanical Resonators Interacting with Light (Springer Berlin Heidelberg, 2014)

    work page 2014

  5. [5]

    H. Y . Y uan, Y . Cao, A. Kamra, R. A. Duine, and P . Y an, Quantum magnonics: When magnon spintronics meets quantum informa- tion science, Phys. Rep. 965, 1 (2022)

    work page 2022

  6. [6]

    Karzig, C.-E

    T. Karzig, C.-E. Bardyn, N. H. Lindner, and G. Refael, Topolog- ical Polaritons, Physical Review X 5, 031001 (2015)

    work page 2015

  7. [7]

    Y . Liu, X. Chen, and Y . Xu, Topological phononics: From funda- mental models to real materials, Adv. Funct. Mater. 30, 1904784 (2019)

    work page 2019

  8. [8]

    T. Y u, J. Zou, B. Zeng, J. Rao, and K. Xia, Non-hermitian topological magnonics, Phys. Rep. 1062, 1–86 (2024)

    work page 2024

  9. [9]

    Takahashi and N

    R. Takahashi and N. Nagaosa, Berry curvature in magnon- phonon hybrid systems, Phys. Rev. Lett. 117, 217205 (2016)

    work page 2016

  10. [10]

    Bar’yakhtar, M

    V . Bar’yakhtar, M. Savchenko, and K. Stepanov, Interaction of plasma and spin waves in ferromagnetic semiconductors and metals, Sov. Phys. JETP 23, 383 (1966)

    work page 1966

  11. [11]

    Baskaran and K

    G. Baskaran and K. P . Sinha, Plasmon-magnon interaction in magnetic semiconductors, Pramana 1, 31–36 (1973)

    work page 1973

  12. [12]

    Hartstein, E

    A. Hartstein, E. Burstein, A. A. Maradudin, R. Brewer, and R. F. Wallis, Surface polaritons on semi-infinite gyromagnetic media, J. Phys. C: Solid State Phys. 6, 1266–1276 (1973)

    work page 1973

  13. [13]

    Matsuura, M

    J. Matsuura, M. Fukui, and O. Tada, Atr mode of surface magnon polaritons on yig, Solid State Commun. 45, 157–160 (1983)

    work page 1983

  14. [14]

    Uchida, H

    K. Uchida, H. Adachi, D. Kikuchi, S. Ito, Z. Qiu, S. Maekawa, and E. Saitoh, Generation of spin currents by surface plasmon resonance, Nat. Commun. 6, 5910 (2015)

    work page 2015

  15. [15]

    Mac ˆedo and R

    R. Mac ˆedo and R. E. Camley, Engineering terahertz surface magnon-polaritons in hyperbolic antiferromagnets, Phys. Rev. B 99, 014437 (2019)

    work page 2019

  16. [16]

    D. Q. To, Z. Wang, Y . Liu, W. Wu, M. B. Jungfleisch, J. Q. Xiao, J. M. O. Zide, S. Law, and M. F. Doty, Surface plasmon-phonon- magnon polariton in a topological insulator-antiferromagnetic bilayer structure, Phys. Rev. Mater. 6, 085201 (2022)

    work page 2022

  17. [17]

    L. Q. Dantas, M. S. V asconcelos, D. H. A. L. Anselmo, and M. G. Cottam, Surface magnon-polaritons at a dielec- tric/graphene/gyromagnetic interface in a perpendicular applied magnetic field, J. Phys.: Condens. Matter 35, 375801 (2023)

    work page 2023

  18. [18]

    E. H. Hwang, R. Sensarma, and S. Das Sarma, Plasmon-phonon coupling in graphene, Phys. Rev. B 82, 195406 (2010)

    work page 2010

  19. [19]

    Liu and R

    Y . Liu and R. F. Willis, Plasmon-phonon strongly coupled mode in epitaxial graphene, Phys. Rev. B 81, 081406 (2010)

    work page 2010

  20. [20]

    V . W. Brar, M. S. Jang, M. Sherrott, S. Kim, J. J. Lopez, L. B. Kim, M. Choi, and H. Atwater, Hybrid surface-phonon-plasmon polariton modes in graphene /monolayer h-bn heterostructures, Nano Lett. 14, 3876–3880 (2014)

    work page 2014

  21. [21]

    C. Gong, L. Li, Z. Li, H. Ji, A. Stern, Y . Xia, T. Cao, W. Bao, C. Wang, Y . Wang, Z. Q. Qiu, R. J. Cava, S. G. Louie, J. Xia, and X. Zhang, Discovery of intrinsic ferromagnetism in two- dimensional van der waals crystals, Nature 546, 265–269 (2017)

    work page 2017

  22. [22]

    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, W. Y ao, D. Xiao, P . Jarillo-Herrero, and X. Xu, Layer-dependent ferromagnetism in a van der waals crys- tal down to the monolayer limit, Nature 546, 270–273 (2017)

    work page 2017

  23. [23]

    Q. H. Wang, A. Bedoya-Pinto, M. Blei, A. H. Dismukes, A. Hamo, S. Jenkins, M. Koperski, Y . Liu, Q.-C. Sun, E. J. Telford, H. H. Kim, M. Augustin, U. V ool, J.-X. Yin, L. H. Li, A. Falin, C. R. Dean, F. Casanova, R. F. L. Evans, M. Chshiev, A. Mishchenko, C. Petrovic, R. He, L. Zhao, A. W. Tsen, B. D. Gerardot, M. Brotons-Gisbert, Z. Guguchia, X. Roy, S. ...

    work page 2022

  24. [24]

    A. T. Costa, M. I. V asilevskiy, J. Fern ´andez-Rossier, and N. M. R. Peres, Strongly Coupled Magnon–Plasmon Polaritons in Graphene-Two-Dimensional Ferromagnet Heterostructures, Nano Lett. 23, 4510 (2023)

    work page 2023

  25. [25]

    Ghosh, G

    S. Ghosh, G. Menichetti, M. I. Katsnelson, and M. Polini, Plasmon-magnon interactions in two-dimensional honeycomb magnets, Phys. Rev. B 107, 195302 (2023)

    work page 2023

  26. [26]

    Dyrdał, A

    A. Dyrdał, A. Qaiumzadeh, A. Brataas, and J. Barna ´s, Magnon- plasmon hybridization mediated by spin-orbit interaction in mag- netic materials, Phys. Rev. B 108, 045414 (2023)

    work page 2023

  27. [27]

    H. Y . Y uan and Y . M. Blanter, Breaking surface-plasmon exci- tation constraint via surface spin waves, Phys. Rev. Lett. 133, 156703 (2024)

    work page 2024

  28. [28]

    H. Y . Y uan, Y . M. Blanter, and H. Q. Lin, Strong and tunable cou- pling between antiferromagnetic magnons and surface plasmons, Phys. Rev. B 111, 024422 (2025)

    work page 2025

  29. [29]

    P . M. Gunnink and A. Mook, Coupling of plasmons to the two- magnon continuum in antiferromagnets (2025)

    work page 2025

  30. [30]

    Rudzi ´nski, M

    W. Rudzi ´nski, M. Jafari, J. Barna ´s, and A. Dyrdał, Magnon- plasmon hybridization mediated by dzyaloshinskii-moriya in- teraction in two-dimensional crystals: tuning with electric field (2025), arXiv:2506.11834 [cond-mat.mes-hall]

    work page arXiv 2025

  31. [31]

    D. K. Efimkin and M. Kargarian, Topological spin-plasma waves, Phys. Rev. B 104, 075413 (2021)

    work page 2021

  32. [32]

    M. Li, I. Sinev, F. Benimetskiy, T. Ivanova, E. Khestanova, S. Kiriushechkina, A. V akulenko, S. Guddala, M. Skolnick, V . M. Menon, D. Krizhanovskii, A. Al`u, A. Samusev, and A. B. Khanikaev, Experimental observation of topological Z2 exciton- polaritons in transition metal dichalcogenide monolayers, Nat. Commun. 12, 4425 (2021)

    work page 2021

  33. [33]

    Guddala, F

    S. Guddala, F. Komissarenko, S. Kiriushechkina, A. V akulenko, M. Li, V . M. Menon, A. Al `u, and A. B. Khanikaev, Topolog- ical phonon-polariton funneling in midinfrared metasurfaces, Science 374, 225–227 (2021)

    work page 2021

  34. [34]

    D.-Q. To, A. Rai, J. M. O. Zide, S. Law, J. Q. Xiao, M. B. Jungfleisch, and M. F. Doty, Hybridized magnonic materials for THz frequency applications, Appl. Phys. Lett. 124 (2024)

    work page 2024

  35. [36]

    See Supplemental Material at...,. [36] T. Holstein and H. Primako ff, Field dependence of the intrinsic domain magnetization of a ferromagnet, Phys. Rev. 58, 1098 6 (1940)

    work page 1940

  36. [37]

    Okamoto, R

    A. Okamoto, R. Shindou, and S. Murakami, Berry curvature for coupled waves of magnons and electromagnetic waves, Phys. Rev. B 102, 064419 (2020)

    work page 2020

  37. [40]

    Matsumoto, R

    R. Matsumoto, R. Shindou, and S. Murakami, Thermal hall effect of magnons in magnets with dipolar interaction, Phys. Rev. B 89, 054420 (2014)

    work page 2014

  38. [42]

    V . A. Zyuzin and A. A. Kovalev, Magnon spin nernst effect in antiferromagnets, Phys. Rev. Lett. 117, 217203 (2016)

    work page 2016

  39. [44]

    Mochizuki, Spin-Wave Modes and Their Intense Excita- tion Effects in Skyrmion Crystals, Phys

    M. Mochizuki, Spin-Wave Modes and Their Intense Excita- tion Effects in Skyrmion Crystals, Phys. Rev. Lett. 108, 017601 (2012)

    work page 2012

  40. [45]

    B. Ding, Z. Li, G. Xu, H. Li, Z. Hou, E. Liu, X. Xi, F. Xu, Y . Y ao, and W. Wang, Observation of Magnetic Skyrmion Bubbles in a van der Waals Ferromagnet Fe 3GeTe2, Nano Lett. 20, 868 (2020)

    work page 2020

  41. [46]

    Y . Wu, S. Zhang, J. Zhang, W. Wang, Y . L. Zhu, J. Hu, G. Yin, K. Wong, C. Fang, C. Wan, X. Han, Q. Shao, T. Taniguchi, K. Watanabe, J. Zang, Z. Mao, X. Zhang, and K. L. Wang, N ´eel- type skyrmion in WTe2/Fe3GeTe2 van der Waals heterostructure, Nat. Commun. 11, 3860 (2020)

    work page 2020

  42. [47]

    M.-G. Han, J. A. Garlow, Y . Liu, H. Zhang, J. Li, D. DiMarzio, M. W. Knight, C. Petrovic, D. Jariwala, and Y . Zhu, Topological Magnetic-Spin Textures in Two-Dimensional van der Waals Cr2Ge2Te6, Nano Lett. 19, 7859 (2019)

    work page 2019

  43. [48]

    Grebenchuk, C

    S. Grebenchuk, C. McKeever, M. Grzeszczyk, Z. Chen, M. ˇSiˇskins, A. R. C. McCray, Y . Li, A. K. Petford-Long, C. M. Phatak, D. Ruihuan, L. Zheng, K. S. Novoselov, E. J. G. Santos, and M. Koperski, Topological Spin Textures in an Insulating van der Waals Ferromagnet, Adv. Mater. 36, 2311949 (2024)

    work page 2024

  44. [49]

    Liang, W

    J. Liang, W. Wang, H. Du, A. Hallal, K. Garcia, M. Chshiev, A. Fert, and H. Y ang, V ery large Dzyaloshinskii-Moriya inter- action in two-dimensional Janus manganese dichalcogenides and its application to realize skyrmion states, Phys. Rev. B 101, 184401 (2020)

    work page 2020

  45. [50]

    C. Xu, J. Feng, S. Prokhorenko, Y . Nahas, H. Xiang, and L. Bel- laiche, Topological spin texture in Janus monolayers of the chromium trihalides Cr(I, X)3, Phys. Rev. B 101, 060404 (2020)

    work page 2020

  46. [51]

    Y uan, Y

    J. Y uan, Y . Y ang, Y . Cai, Y . Wu, Y . Chen, X. Y an, and L. Shen, Intrinsic skyrmions in monolayer Janus magnets, Phys. Rev. B 101, 094420 (2020)

    work page 2020

  47. [52]

    T.-E. Park, L. Peng, J. Liang, A. Hallal, F. S. Y asin, X. Zhang, K. M. Song, S. J. Kim, K. Kim, M. Weigand, G. Sch ¨utz, S. Finizio, J. Raabe, K. Garcia, J. Xia, Y . Zhou, M. Ezawa, X. Liu, J. Chang, H. C. Koo, Y . D. Kim, M. Chshiev, A. Fert, H. Y ang, X. Y u, and S. Woo, N ´eel-type skyrmions and their current-induced motion in van der Waals ferromagne...

    work page 2021

  48. [53]

    Rold´an-Molina, A

    A. Rold´an-Molina, A. S. Nunez, and J. Fern ´andez-Rossier, Topo- logical spin waves in the atomic-scale magnetic skyrmion crystal, New J. Phys. 18, 045015 (2016)

    work page 2016

  49. [54]

    Hirosawa, A

    T. Hirosawa, A. Mook, J. Klinovaja, and D. Loss, Magnetoelec- tric Cavity Magnonics in Skyrmion Crystals, PRX Quantum 3, 040321 (2022)

    work page 2022

  50. [55]

    S. A. D ´ıaz, T. Hirosawa, J. Klinovaja, and D. Loss, Chiral magnonic edge states in ferromagnetic skyrmion crystals con- trolled by magnetic fields, Phys. Rev. Res. 2, 013231 (2020)

    work page 2020

  51. [56]

    Hirosawa, S

    T. Hirosawa, S. A. D ´ıaz, J. Klinovaja, and D. Loss, Magnonic quadrupole topological insulator in antiskyrmion crystals, Phys. Rev. Lett. 125, 207204 (2020)

    work page 2020

  52. [57]

    Hirosawa, J

    T. Hirosawa, J. Klinovaja, D. Loss, and S. A. D ´ıaz, Laser- controlled real- and reciprocal-space topology in multiferroic insulators, Phys. Rev. Lett. 128, 037201 (2022)

    work page 2022

  53. [60]

    G. X. Ni, A. S. McLeod, Z. Sun, L. Wang, L. Xiong, K. W. Post, S. S. Sunku, B.-Y . Jiang, J. Hone, C. R. Dean, M. M. Fogler, and D. N. Basov, Fundamental limits to graphene plasmonics, Nature 557, 530 (2018)

    work page 2018

  54. [61]

    Klingler, H

    S. Klingler, H. Maier-Flaig, C. Dubs, O. Surzhenko, R. Gross, H. Huebl, S. T. B. Goennenwein, and M. Weiler, Gilbert damping of magnetostatic modes in a yttrium iron garnet sphere, Appl. Phys. Lett. 110, 092409 (2017)

    work page 2017

  55. [62]

    X. Wu, Y . Meng, J. Tian, Y . Huang, H. Xiang, D. Han, and W. Wen, Direct observation of valley-polarized topological edge states in designer surface plasmon crystals, Nat. Commun. 8, 1304 (2017)

    work page 2017

  56. [63]

    Ozawa, H

    T. Ozawa, H. M. Price, A. Amo, N. Goldman, M. Hafezi, L. Lu, M. C. Rechtsman, D. Schuster, J. Simon, O. Zilberberg, and I. Carusotto, Topological photonics, Rev. Mod. Phys. 91, 015006 (2019)

    work page 2019

  57. [64]

    T. Low, A. Chaves, J. D. Caldwell, A. Kumar, N. X. Fang, P . Avouris, T. F. Heinz, F. Guinea, L. Martin-Moreno, and F. Koppens, Polaritons in layered two-dimensional materials, Nat. Mater. 16, 182–194 (2016)

    work page 2016

  58. [65]

    Z. Wang, Y . Chong, J. D. Joannopoulos, and M. Solja ˇci´c, Ob- servation of unidirectional backscattering-immune topological electromagnetic states, Nature 461, 772 (2009)

    work page 2009

  59. [66]

    C. Du, T. v. d. Sar, T. X. Zhou, P . Upadhyaya, F. Casola, H. Zhang, M. C. Onbasli, C. A. Ross, R. L. Walsworth, Y . Tserkovnyak, and A. Y acoby, Control and local measurement of the spin chemical potential in a magnetic insulator, Science 357, 195 (2017)

    work page 2017

  60. [67]

    C. M. Purser, V . P . Bhallamudi, F. Guo, M. R. Page, Q. Guo, G. D. Fuchs, and P . C. Hammel, Spinwave detection by nitrogen- vacancy centers in diamond as a function of probe–sample sepa- ration, Appl. Phys. Lett. 116, 202401 (2020)

    work page 2020

  61. [68]

    Jersch, V

    J. Jersch, V . E. Demidov, H. Fuchs, K. Rott, P . Krzysteczko, J. M ¨unchenberger, G. Reiss, and S. O. Demokritov, Mapping of localized spin-wave excitations by near-field Brillouin light scattering, Appl. Phys. Lett. 97, 152502 (2010)

    work page 2010

  62. [69]

    Habel, A

    J. Habel, A. Mook, J. Willsher, and J. Knolle, Breakdown of chiral edge modes in topological magnon insulators, Phys. Rev. B 109, 024441 (2024)

    work page 2024

  63. [70]

    Hawashin, J

    B. Hawashin, J. Sirker, and G. S. Uhrig, Topological proper- ties of single-particle states decaying into a continuum due to interaction, Phys. Rev. Res. 6, L042041 (2024)

    work page 2024

  64. [71]

    P . A. McClarty and J. G. Rau, Non-Hermitian topology of spon- taneous magnon decay, Phys. Rev. B 100, 100405 (2019)

    work page 2019

  65. [72]

    Lewandowski and L

    C. Lewandowski and L. Levitov, Intrinsically undamped plas- mon modes in narrow electron bands, PNAS 116, 20869–20874 (2019). Supplementary Material: Topological Magnon-Plasmon Hybrids Tomoki Hirosawa Department of Physical Sciences, Aoyama Gakuin University, Sagamihara, Kanagawa 252-5258, Japan Pieter M. Gunnink Institute of Physics, Johannes Gutenberg U...

    work page 2019

  66. [73]

    particle

    15 meV. 8 The coupling to the plasmon mode is again given by Eq. (S.9), which becomes after introduction of the Holstein-Primako ff operators given in Eq. ( S.33) and applying the Boguliobov transformation, Hc = ∑ k ak [ Gkeiφk (b1, −k + b† 2, k) + Gke−iφk (b2, −k + b† 1, k) ] + h. c. (S.39) = ∑ k ak [ ˜Gk(α−k +β† k) + ˜G∗ k(α† k +β−k) ] + h. c. (S.40) whe...

    work page

  67. [74]

    Thus, the coupling strength is approximately given by 0

    1 GHz. Thus, the coupling strength is approximately given by 0 . 55 GHz. At the crossing point k = kc, we estimate the velocity of plasmon and CCW mode as vpl = 0. 066c and vmag = −3. 3 ms−1, respectively. Plasmons are approximately 6 ×106 times faster than magnons at the band crossing. Following the same argument for the Kittel mode, hybridizing the CCW ...

    work page

  68. [75]

    B. A. Ferreira, B. Amorim, A. J. Chaves, and N. M. R. Peres, Quantization of graphene plasmons, Phys. Rev. A 101, 033817 (2020)

    work page 2020

  69. [76]

    A. T. Costa, M. I. V asilevskiy, J. Fern´andez-Rossier, and N. M. R. Peres, Strongly Coupled Magnon–Plasmon Polaritons in Graphene-Two- Dimensional Ferromagnet Heterostructures, Nano Lett. 23, 4510 (2023)

    work page 2023

  70. [77]

    Laturia, M

    A. Laturia, M. L. V an de Put, and W. G. V andenberghe, Dielectric properties of hexagonal boron nitride and transition metal dichalcogenides: from monolayer to bulk, npj 2D Mater. Appl. 2, 1 (2018)

    work page 2018

  71. [78]

    ¨O. O. Soykal and M. E. Flatt ´e, Strong Field Interactions between a Nanomagnet and a Photonic Cavity, Phys. Rev. Lett. 104, 077202 (2010)

    work page 2010

  72. [79]

    Tabuchi, S

    Y . Tabuchi, S. Ishino, T. Ishikawa, R. Y amazaki, K. Usami, and Y . Nakamura, Hybridizing ferromagnetic magnons and microwave photons in the quantum limit, Phys. Rev. Lett. 113, 083603 (2014)

    work page 2014

  73. [80]

    Hirosawa, A

    T. Hirosawa, A. Mook, J. Klinovaja, and D. Loss, Magnetoelectric Cavity Magnonics in Skyrmion Crystals, PRX Quantum 3, 040321 (2022)

    work page 2022

  74. [81]

    Matsumoto and S

    R. Matsumoto and S. Murakami, Theoretical prediction of a rotating magnon wave packet in ferromagnets, Phys. Rev. Lett. 106, 197202 (2011)

    work page 2011

  75. [82]

    Matsumoto and S

    R. Matsumoto and S. Murakami, Rotational motion of magnons and the thermal hall e ffect, Phys. Rev. B 84, 184406 (2011)

    work page 2011

  76. [83]

    Matsumoto, R

    R. Matsumoto, R. Shindou, and S. Murakami, Thermal hall e ffect of magnons in magnets with dipolar interaction, Phys. Rev. B 89, 054420 (2014)

    work page 2014

  77. [84]

    Murakami and A

    S. Murakami and A. Okamoto, Thermal hall e ffect of magnons, J. Phys. Soc. Jpn. 86, 011010 (2017)

    work page 2017

  78. [85]

    ( S.30), the plasmon weight is the first item of the eigenvector

    In the ordering of Eq. ( S.30), the plasmon weight is the first item of the eigenvector

    work page

  79. [86]

    Dyrdał, A

    A. Dyrdał, A. Qaiumzadeh, A. Brataas, and J. Barna ´s, Magnon-plasmon hybridization mediated by spin-orbit interaction in magnetic materials, Phys. Rev. B 108, 045414 (2023)

    work page 2023

  80. [87]

    Cheng, S

    R. Cheng, S. Okamoto, and D. Xiao, Spin nernst e ffect of magnons in collinear antiferromagnets, Phys. Rev. Lett. 117, 217202 (2016)

    work page 2016

Showing first 80 references.