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  • Letter
  • Open Access

Multiscale vortical phonons and vorticity wave vortices as coherent excitations in two-dimensional dusty plasma crystals

Wei-Shuo Lo, Chen-Yu Siao, Yi-Cheng Zhao, and Lin I*

  • *Contact author: lini@phy.ncu.edu.tw
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Phys. Rev. Research 7, L022078 – Published 26 June, 2025

DOI: https://doi.org/10.1103/48wg-mpkr

Abstract

Counterintuitively, cooperative spatiotemporal motions and localized coherent entities (CEs) with distinct topological features can emerge in various extended systems exhibiting disordered multiscale fluctuations. Examples include multiscale vortices in nonlinear hydrodynamic turbulent flows and multiscale wave vortices in traveling acoustic wave turbulence. However, their fundamental nature and generic behaviors in stochastically driven, disordered multiscale linear waves remain elusive. Here, we utilize two-dimensional crystals supporting thermally excited, multiscale disordered vibrations, as a model system to address these issues. By combining two-dimensional dusty plasma crystal experiments with numerical simulations of Yukawa and Lennard-Jones crystals, we report the following observations at the discrete level: (a) multiscale vortical phonons (also named as vorticity waves, VWs), in the form of propagating vortices with alternating signs of vorticities and varying vortex shape, predominately contributed by the superposition of transverse waves, as basic cooperative acoustic vibrations; and (b) vorticity wave vortices (VWVs), where the VW crest surfaces helically wind around screw-dislocation filaments in the xyt space, as localized CEs in VWs. These VWVs exhibit stretched-exponential lifetime distribution and short-range spatial correlations.

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References (57)

  1. C. Kittel, Introduction to Solid State Physics, 8th ed. (Wiley, Hoboken, NJ, 2005).
  2. N. W. Ashcroft and N. D. Mermin, Solid State Physics (Cengage Learning, Boston, MA, 2021).
  3. P. M. Chaikin and T. C. Lubensky, Principles of Condensed Matter Physics (Cambridge University Press, Cambridge, 1995).
  4. Y. Yin, B. Wang, Y. E, J. Yao, L. Wang, X. Bai, and W. Liu, Raman spectra and phonon structures of BaGa4Se7 crystal, Commun. Phys. 3, 34 (2020).
  5. Y. Yu, C. Yang, M. Baggioli et al., The ω3 scaling of the vibrational density of states in quasi-2D nanoconfined solids, Nat. Commun. 13, 3649 (2022).
  6. A. Giri and P. E. Hopkins, Role of interfacial mode coupling of optical phonons on thermal boundary conductance, Sci. Rep. 7, 11011 (2017).
  7. e.g. M. N. Luckyanova, J. Mendoza, H. Lu, B. Song, S. Huang, J. Zhou, M. Li, Y. Dong, H. Zhou, J. Garlow, L. Wu, B. J. Kirby, A. J. Grutter, A. A. Puretzky, Y. Zhu, M. S. Dresselhaus, A. Gossard, and G. Chen, Phonon localization in heat conduction, Sci. Adv. 4, eaat9460 (2018).
  8. e.g. Z. Zhang, Y. Guo, M. Bescond, J. Chen, M. Nomura, and S. Volz, Heat conduction theory including phonon coherence, Phys. Rev. Lett. 128, 015901 (2022).
  9. X. Z. Yu, W. Koshibae, Y. Tokunaga, K. Shibata, Y. Taguchi, N. Nagaosa, and Y. Tokura, Transformation between meron and skyrmion topological spin textures in a chiral magnet, Nature (London) 564, 95 (2018).
  10. Y. T. Shao, S. Das, Z. Hong, R. Xu, S. Chandrika, F. Gómez-Ortiz, P. García-Fernández, L. Q. Chen, H. Y. Hwang, J. Junquera, L. W. Martin, R. Ramesh, and D. A. Muller, Emergent chirality in a polar meron to skyrmion phase transition, Nat. Commun. 14, 1355 (2023).
  11. D. A. Smirnova, F. Nori, and K. Y. Bliokh, Water-wave vortices and skyrmions, Phys. Rev. Lett. 132, 054003 (2024).
  12. B. Wang, Z. Che, C. Cheng, C. Tong, L. Shi, Y. Shen, K. Y. Bliokh, and J. Zi, Topological water-wave structures manipulating particles, Nature (London) 638, 394 (2025).
  13. F. T. Arecchi, G. Giacomelli, P. L. Ramazza, and S. Residori, Vortices and defect statistics in two-dimensional optical chaos, Phys. Rev. Lett. 67, 3749 (1991).
  14. J. F. Nye and M. V. Berry, Dislocations in wave trains, Proc. R. Soc. London A Math. Phys. Sci. 336, 1605 (1974).
  15. J. L. Thomas and R. Marchiano, Pseudo angular momentum and topological charge conservation for nonlinear acoustical vortices, Phys. Rev. Lett. 91, 244302 (2003).
  16. P. Z. Dashti, F. Alhassen, and H. P. Lee, Observation of orbital angular momentum transfer between acoustic and optical vortices in optical fiber, Phys. Rev. Lett. 96, 043604 (2006).
  17. K. Volke-Sepúlveda, A. O. Santillán, and R. R. Boullosa, Transfer of angular momentum to matter from acoustical vortices in free space, Phys. Rev. Lett. 100, 024302 (2008).
  18. A. L. Fetter, Rotating trapped Bose-Einstein condensates, Rev. Mod. Phys. 81, 647 (2009).
  19. E. Hemsing, A. Knyazik, M. Dunning, D. Xiang, A. Marinelli, C. Hast, and J. B. Rosenzweig, Coherent optical vortices from relativistic electron beams, Nat. Phys. 9, 549 (2013).
  20. Y. Y. Tsai and L. I, Observation of self-excited acoustic vortices in defect-mediated dust acoustic wave turbulence, Phys. Rev. E 90, 013106 (2014).
  21. X. Wang, Z. Nie, Y. Liang, J. Wang, T. Li, and B. Jia, Recent advances on optical vortex generation, Nanophotonics 7, 1533 (2018).
  22. A. Chong, C. Wan, J. Chen, and Q. Zhan, Generation of spatiotemporal optical vortices with controllable transverse orbital angular momentum, Nat. Photon. 14, 350 (2020).
  23. R. Panico, G. Macorini, L. Dominici, A. Gianfrate, A. Fieramosca, M. De Giorgi, G. Gigli, D. Sanvitto, A. S. Lanotte, and D. Ballarini, Dynamics of a vortex lattice in and expanding polariton quantum fluid, Phys. Rev. Lett. 127, 047401 (2021).
  24. A. Luski, Y. Segev, R. David, O. Bitton, H. Nadler, A. R. Barnea, A. Gorlach, O. Cheshnovsky, I. Kaminer, and E. Narevicius, Vortex beams of atoms and molecules, Science 373, 1105 (2021).
  25. S. Guo, Z. Ya, P. Wu, and M. Wan, A review on acoustic vortices: Generation, characterization, applications and perspectives, J. Appl. Phys. 132, 210701 (2022).
  26. G. J. Chaplain, J. M. De Ponti, and T. A. Starkey, Elastic orbital angular momentum transfer from an elastic pipe to a fluid, Commun. Phys. 5, 279 (2022).
  27. I. S. Aranson and L. Kramer, The world of the complex Ginzburg-Landau equation, Rev. Mod. Phys. 74, 99 (2002).
  28. S. Alonso, F. Sagués, and A. S. Mikhailov, Taming winfree turbulence of scroll waves in excitable media, Science 299, 1722 (2003).
  29. P. C. Lin and L. I, Interacting multiscale acoustic vortices as coherent excitations in dusty acoustic wave turbulence, Phys. Rev. Lett. 120, 135004 (2018).
  30. J. H. Chu and L. I, Direct observation of Coulomb crystals and liquids in strongly coupled rf dusty plasmas, Phys. Rev. Lett. 72, 4009 (1994).
  31. Y. H. Y. Hayashi and K. T. K. Tachibana, Observation of Coulomb-crystal formation from carbon particles grown in a methane plasma, Jpn. J. Appl. Phys. 33, L804 (1994).
  32. H. Thomas, G. E. Morfill, V. Demmel, J. Goree, B. Feuerbacher, and D. Möhlmann, Plasma crystal: Coulomb crystallization in a dusty plasma, Phys. Rev. Lett. 73, 652 (1994).
  33. P. K. Shukla and A. A. Mamun, Introduction to dusty plasma physics, Plasma Phys. Control. Fusion 44, 395 (2002).
  34. L. I, W. T. Juan, C. H. Chiang, and J. H. Chu, Microscopic particle motions in strongly coupled dusty plasma, Science 272, 1626 (1996).
  35. Y. J. Lai and L. I, Avalanche excitations of fast particles in quasi-2D cold dusty plasma liquids, Phys. Rev. Lett. 89, 155002 (2002).
  36. S. Nunomura, S. Zhdanov, D. Samsonov, and G. Morfill, Wave spectra in solid and liquid complex (dusty) plasmas, Phys. Rev. Lett. 94, 045001 (2005).
  37. C. L. Chan and L. I, Microstructural evolution and irreversibility in the viscoelastic response of mesoscopic dusty-plasma liquids, Phys. Rev. Lett. 98, 105002 (2007).
  38. Y. Feng, J. Goree, and B. Liu, Solid superheating observed in two-dimensional strongly coupled dusty plasma, Phys. Rev. Lett. 100, 205007 (2008).
  39. G. E. Morfill and A. V. Ivlev, Complex plasmas: An interdisciplinary research field, Rev. Mod. Phys. 81, 1353 (2009).
  40. L. Couëdel, V. Nosenko, A. V. Ivlev, S. K. Zhdanov, H. M. Thomas, and G. E. Morfill, Direct observation of mode-coupling instability in two dimensional plasma crystals, Phys. Rev. Lett. 104, 195001 (2010).
  41. B. Liu, J. Goree, and Y. Feng, Mode coupling of phonons in a single-layer dusty plasma crystal, Phys. Rev. Lett. 105, 085004 (2010).
  42. P. Hartmann, A. Douglass, J. C. Reyes, L. S. Matthews, T. W. Hyde, A. Kovács, and Z. Donkó, Crystallization dynamics of a single layer complex plasma, Phys. Rev. Lett. 105, 115004 (2010).
  43. C. Yang, C. W. Io, and L. I, Cooperative-motion-induced structural evolution in dusty-plasma liquids with microheterogeneity: rupture, rotation, healing, and growth of ordered domains, Phys. Rev. Lett. 109, 225003 (2012).
  44. N. P. Kryuchkov, E. V. Yakovlev, E. A. Gorbunov, L. Couëdel, A. M. Lipaev, and S. O. Yurchenko, Thermoacoustic instability in two-dimensional fluid complex plasmas, Phys. Rev. Lett. 121, 075003 (2018).
  45. H. W. Hu, W. Wang, and L. I, Multiscale coherent excitations in microscopic acoustic wave turbulence of cold dusty plasma liquids, Phys. Rev. Lett. 123, 065002 (2019).
  46. E. V. Yakovlev, N. P. Kryuchkov, P. V. Ovcharov, A. V. Sapelkin, V. V. Brazhkin, and S. O. Yurchenko, Direct experimental evidence of longitudinal and transverse mode hybridization and anticrossing in simple model fluids, J. Phys. Chem. Lett. 11, 1370 (2020).
  47. H. W. Hu, Y. C. Zhao, and L. I, Avalanche structural rearrangements in cold dusty plasma liquids through cascaded coherent excitations of heterogeneous multiscale thermal acoustic waves, Phys. Rev. Res. 4, 023116 (2022).
  48. S. Singh, P. Bandyopadhyay, K. Kumar, and A. Sen, Square lattice formation in a monodisperse complex plasma, Phys. Rev. Lett. 129, 115003 (2022).
  49. See Supplemental Material at http://link.aps.org/supplemental/10.1103/48wg-mpkr for showing (a) details of experimental setup, numerical simulation, complementary ensemble-averaged empirical mode decomposition, (b) the power spectra S(k,f) of particle velocity fluctuations of the dusty plasma crystal experiment, (c) results demonstrating the similar generic behaviors from simulation runs, and (d) videos showing the spatiotemporal evolutions of the decomposed velocity, vorticity fields, vorticity phase fields, and screw dislocations of various modes of the experimental and numerical runs.
  50. S. Plimpton, Fast Parallel Algorithms for short-range molecular dynamics, J. Comput. Phys. 117, 1 (1995).
  51. J. R. Yeh, J. S. Shieh, and N. E. Huang, Complementary ensemble empirical mode decomposition: a novel noise enhanced data analysis method, Adv. Adapt. Data Anal. 02, 135 (2010).
  52. P. C. Lin and L. I, Synchronization of multiscale waveform focusing for rogue wave generation in dust acoustic wave turbulence, Phys. Rev. Res. 2, 023090 (2020).
  53. L. Cohen, Time-Frequency Analysis (Prentice Hall PTR, 1995).
  54. A. Ghosh, V. K. Chikkadi, P. Schall, J. Kurchan, and D. Bonn, Density of states of colloidal glasses, Phys. Rev. Lett. 104, 248305 (2010).
  55. D. Kaya, N. L. OliveGreen, C. E. Maloney, and M. F. Islam, Normal modes and density of states of disordered colloidal solids, Science 329, 656 (2010).
  56. Y. C. Hu and H. Tanaka, Origin of the boson peak in amorphous solids, Nat. Phys. 18, 669 (2022).
  57. Z. W. Wu, Y. Chen, W. H. Wang, W. Kob, and L. Xu, Topology of vibrational modes predicts plastic events in glasses, Nat. Commun. 14, 2955 (2023).

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Phys. Rev. Research 7, L022078– Published 26 June, 2025
  • Received 10 January 2025
  • Accepted 10 June 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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