Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Letter
  • Open Access

Alignment-induced reconfigurable walls for patterning and assembly of liquid crystal skyrmions

Ayhan Duzgun* and Avadh Saxena

Jonathan V. Selinger

  • Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA

  • Advanced Materials and Liquid Crystal Institute and Department of Physics, Kent State University, Kent, Ohio 44242, USA

  • *ayhan@lanl.gov

Phys. Rev. Research 3, L012005 – Published 15 January, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.L012005

Abstract

Skyrmions have attracted rapidly growing interest due to their topological properties and unique aspects for potential novel applications such as data storage and soft robotics. They can also serve as key elements for materials by design, self-assembly, and functional soft materials. While not real particles, these skyrmions behave like particles—they interact with each other and can be actuated by means of electric field, surface anchoring, and light. On the other hand, they are field configurations which have properties not possessed by real particles. Here we show that, by means of alignment-induced attractive and repulsive walls, skyrmions in chiral nematic liquid crystals can be precisely controlled and programed to serve as suitable building blocks for the realization of the above goals. Our work may stimulate new experimental efforts and concomitant applications in this direction.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (35)

  1. R. P. Feynman, There's plenty of room at the bottom, Eng. Sci. 23, 22 (1960).
  2. T. H. R. Skyrme, A unified field theory of mesons and baryons, Nucl. Phys. 31, 556 (1962).
  3. S. Mühlbauer, B. Binz, F. Jonietz, C. Pfleiderer, A. Rosch, A. Neubauer, R. Georgii, and P. Böni, Skyrmion lattice in a chiral magnet, Science 323, 915 (2009).
  4. N. Nagaosa and Y. Tokura, Topological properties and dynamics of magnetic skyrmions, Nat. Nanotechnol. 8, 899 (2013).
  5. J.-I. Fukuda and S. Zumer, Quasi-two-dimensional skyrmion lattices in a chiral nematic liquid crystal, Nat. Commun. 2, 246 (2011).
  6. A. O. Leonov, I. E. Dragunov, U. K. Rößler, and A. N. Bogdanov, Theory of skyrmion states in liquid crystals, Phys. Rev. E 90, 042502 (2014).
  7. A. N. Bogdanov, U. K. Rößler, and A. A. Shestakov, Skyrmions in nematic liquid crystals, Phys. Rev. E 67, 016602 (2003).
  8. P. J. Ackerman, R. P. Trivedi, B. Senyuk, J. van de Lagemaat, and I. I. Smalyukh, Two-dimensional skyrmions and other solitonic structures in confinement-frustrated chiral nematics, Phys. Rev. E 90, 012505 (2014).
  9. S. Afghah and J. V. Selinger, Theory of helicoids and skyrmions in confined cholesteric liquid crystals, Phys. Rev. E 96, 012708 (2017).
  10. Y. Guo, S. Afghah, J. Xiang, O. D. Lavrentovich, R. L. B. Selinger, and Q.-H. Wei, Cholesteric liquid crystals in rectangular microchannels: skyrmions and stripes, Soft Matter 12, 6312 (2016).
  11. P. J. Ackerman, J. van de Lagemaat, and I. I. Smalyukh, Self-assembly and electrostriction of arrays and chains of hopfion particles in chiral liquid crystals, Nat. Commun. 6, 6012 EP (2015).
  12. D. Foster, C. Kind, P. J. Ackerman, J.-S. B. Tai, M. R. Dennis, and I. I. Smalyukh, Two-dimensional skyrmion bags in liquid crystals and ferromagnets, Nat. Phys. 15, 655 (2019).
  13. R. M. Hornreich and S. Shtrikman, Field-induced hexagonal blue phases in positive and negative dielectric anisotropy systems: Phase diagrams and topological properties, Phys. Rev. A 41, 1978 (1990).
  14. A. Nych, J.-I. Fukuda, U. Ognysta, S. Zumer, and I. Musevic, Spontaneous formation and dynamics of half-skyrmions in a chiral liquid-crystal film, Nat. Phys. 13, 1215 EP (2017).
  15. L. Metselaar, A. Doostmohammadi, and J. M. Yeomans, Topological states in chiral active matter: Dynamic blue phases and active half-skyrmions, J. Chem. Phys. 150, 064909 (2019).
  16. A. Duzgun, J. V. Selinger, and A. Saxena, Comparing skyrmions and merons in chiral liquid crystals and magnets, Phys. Rev. E 97, 062706 (2018).
  17. S. Wang, M. Ravnik, and S. Žumer, Surface-patterning generated half-skyrmion lattices in cholesteric blue phase thin films, Liq. Cryst. 45, 2329 (2018) .
  18. H. R. O. Sohn and I. I. Smalyukh, Electrically powered motions of toron crystallites in chiral liquid crystals, Proc. Natl. Acad. Sci. USA 117, 6437 (2020).
  19. B.-X. Li, V. Borshch, R.-L. Xiao, S. Paladugu, T. Turiv, S. V. Shiyanovskii, and O. D. Lavrentovich, Electrically driven three-dimensional solitary waves as director bullets in nematic liquid crystals, Nat. Commun. 9, 2912 (2018).
  20. Y. Shen and I. Dierking, Dynamics of electrically driven solitons in nematic and cholesteric liquid crystals, Commun. Phys. 3, 14 (2020).
  21. H. R. O. Sohn, C. D. Liu, Y. Wang, and I. I. Smalyukh, Light-controlled skyrmions and torons as reconfigurable particles, Opt. Express 27, 29055 (2019).
  22. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.3.L012005 for (i) simulation videos referred to in the sections Repulsive or attractive regions and Fringe effect and very thin walls, (ii) simulation methods and parameters, and (iii) the calculation of the electric field as used in the point-electrode simulations that are discussed in the section Fringe effect and very thin walls.
  23. P. J. Ackerman, T. Boyle, and I. I. Smalyukh, Squirming motion of baby skyrmions in nematic fluids, Nat. Commun. 8, 673 (2017).
  24. I. I. Smalyukh, B. I. Senyuk, P. Palffy-Muhoray, O. D. Lavrentovich, H. Huang, E. C. Gartland, V. H. Bodnar, T. Kosa, and B. Taheri, Electric-field-induced nematic-cholesteric transition and three-dimensional director structures in homeotropic cells, Phys. Rev. E 72, 061707 (2005).
  25. G. Durey, H. R. O. Sohn, P. J. Ackerman, E. Brasselet, I. I. Smalyukh, and T. Lopez-Leon, Topological solitons, cholesteric fingers and singular defect lines in janus liquid crystal shells, Soft Matter 16, 2669 (2020).
  26. J.-S. B. Tai and I. I. Smalyukh, Surface anchoring as a control parameter for stabilizing torons, skyrmions, twisted walls, fingers, and their hybrids in chiral nematics, Phys. Rev. E 101, 042702 (2020).
  27. H. R. O. Sohn, P. J. Ackerman, T. J. Boyle, G. H. Sheetah, B. Fornberg, and I. I. Smalyukh, Dynamics of topological solitons, knotted streamlines, and transport of cargo in liquid crystals, Phys. Rev. E 97, 052701 (2018).
  28. A. Duzgun and C. Nisoli, Skyrmion spin ice in liquid crystals, arXiv:1908.03246 [cond-mat.soft] [Phys. Rev. Lett. (to be published)].
  29. A. Duzgun, C. Nisoli, C. J. O. Reichhardt, and C. Reichhardt, Commensurate states and pattern switching via liquid crystal skyrmions trapped in a square lattice, Soft Matter 16, 3338 (2020).
  30. E. Bukusoglu, M. Bedolla Pantoja, P. C. Mushenheim, X. Wang, and N. L. Abbott, Design of responsive and active (soft) materials using liquid crystals, Annu. Rev. Chem. Biomolec. Eng. 7, 163 (2016).
  31. S.-Z. Lin, C. Reichhardt, C. D. Batista, and A. Saxena, Driven Skyrmions and Dynamical Transitions in Chiral Magnets, Phys. Rev. Lett. 110, 207202 (2013).
  32. R. Tomasello, S. Komineas, G. Siracusano, M. Carpentieri, and G. Finocchio, Chiral skyrmions in an anisotropy gradient, Phys. Rev. B 98, 024421 (2018).
  33. A. O. Leonov, T. L. Monchesky, J. C. Loudon, and A. N. Bogdanov, Three-dimensional chiral skyrmions with attractive interparticle interactions, J. Phys.: Condens. Matter 28, 35LT01 (2016).
  34. A. O. Leonov, J. C. Loudon, and A. N. Bogdanov, Spintronics via non-axisymmetric chiral skyrmions, Appl. Phys. Lett. 109, 172404 (2016).
  35. S. Luo, M. Song, X. Li, Y. Zhang, J. Hong, X. Yang, X. Zou, N. Xu, and L. You, Reconfigurable skyrmion logic gates, Nano Lett. 18, 1180 (2018) .

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation