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Article

Selection rules and a new model for stable topological defect arrays in nematic liquid crystal

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Pages 1295-1308 | Received 11 Aug 2020, Accepted 02 Dec 2020, Published online: 04 Jan 2021

References

  • Marrucci L, Manzo C, Paparo D. Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media. Phys Rev Lett. 2006;96(16):163905.
  • Bellini T, Clark NA, Degiorgio V, et al. Light-scattering measurement of the nematic correlation length in a liquid crystal with quenched disorder. Phys Rev E. 1998;57(3):2996–3006. .
  • Pires D, Fleury JB, Galerne Y. Colloid particles in the interaction field of a disclination line in a nematic phase. Phys Rev Lett. 2007;98(24):247801.
  • Poulin P, Stark H, Lubensky TC, et al. Novel colloidal interactions in anisotropic fluids. Science. 1997;275(5307):1770–1773. .
  • Wang X, Miller DS, Bukusoglu E, et al. Topological defects in liquid crystals as templates for molecular self-assembly. Nat Mater. 2016;15(1):106–112. .
  • de Haan LT, Sánchez-Somolinos C, Bastiaansen CMW, et al. Engineering of complex order and the macroscopic deformation of liquid crystal polymer networks. Angew Chem Int Ed. 2012;51(50):12469–12472. .
  • Fuchi K, Ware TH, Buskohl PR, et al. Topology optimization for the design of folding liquid crystal elastomer actuators. Soft Matter. 2015;11(37):7288–7295. .
  • Ware TH, McConney ME, Wie JJ, et al. Voxelated liquid crystal elastomers. Science. 2015;347(6225):982–984. .
  • McConney ME, Martinez A, Tondiglia VP, et al. Topography from topology: photoinduced surface features generated in liquid crystal polymer networks. Adv Mater. 2013;25(41):5880–5885. .
  • Carroll TO. Liquid-crystal diffraction grating. J Appl Phys. 1972;43(3):767–770.
  • Chen H, Tan G, Huang Y, et al. A low voltage liquid crystal phase grating with switchable diffraction angles. Sci Rep. 2017;7(1):1–8. .
  • Loussert C, Kushnir K, Brasselet E. Q-plates micro-arrays for parallel processing of the photon orbital angular momentum. Appl Phys Lett. 2014;105(12):121108.
  • Serra F, Buscaglia M, Bellini T. The emergence of memory in liquid crystals. Mater Today. 2011;14(10):488–494.
  • Choi TH, Huh JW, Woo JH, et al. Switching between transparent and translucent states of a two-dimensional liquid crystal phase grating device with crossed interdigitated electrodes. Opt Express. 2017;25(10):11275. .
  • White TJ, Broer DJ. Programmable and adaptive mechanics with liquid crystal polymer networks and elastomers. Nat Mater. 2015;14(11):1087–1098.
  • Martinez RV, Fish CR, Chen X, et al. Elastomeric origami: programmable paper-elastomer composites as pneumatic actuators. Adv Funct Mater. 2012;22(7):1376–1384. .
  • Guo Y, Jiang M, Peng C, et al. Designs of plasmonic metamasks for photopatterning molecular orientations in liquid crystals. Crystals. 2016;7(1):8. .
  • Babakhanova G, Turiv T, Guo Y, et al. Liquid crystal elastomer coatings with programmed response of surface profile. Nat Commun. 2018;9(1):1–9. .
  • Kim DS, Čopar S, Tkalec U, et al. Mosaics of topological defects in micropatterned liquid crystal textures. Sci Adv. 2018;4(11):eaau8064. .
  • Kim M, Serra F. Tunable dynamic topological defect pattern formation in nematic liquid crystals. Adv Opt Mater. 2020;8(1):1900991.
  • Kim M, Serra F. Tunable large-scale regular array of topological defects in nematic liquid crystals. RSC Adv. 2018;8(62):35640–35645.
  • You R, Choi Y, Shin MJ, et al. Reconfigurable periodic liquid crystal defect array via modulation of electric field. Adv Mater Technol. 2019;4(11):1900454. .
  • Toulouse G, Kléman M. Principles of a classification of defects in ordered media. J Phys Lett. 1976;37(6):149–151.
  • Mermin ND. The topological theory of defects in ordered media. Rev Mod Phys. 1979;51(3):591–648.
  • Kléman M, Lavrentovich OD. Soft matter physics: an introduction. New York: Springer-Verlag; 2003.
  • Liu Q, Senyuk B, Tasinkevych M, et al. Nematic liquid crystal boojums with handles on colloidal handlebodies. Proc Natl Acad Sci. 2013;110(23):9231–9236. .
  • Lavrentovich OD. Topological defects in dispersed liquid crystals, or words and worlds around liquid crystal drops. Liq Cryst. 1998;24(1):117–125.
  • Cladis PE, Kléman M. Non-singular disclinations of strength S = + 1 in nematics. J Phys. 1972;33(5–6):591–598.
  • Williams C, Pierański P, Cladis PE. Nonsingular S=+1 screw disclination lines in nematics. Phys Rev Lett. 1972;29(2):90–92.
  • Stein DL. Topological theorem and its applications to condensed matter systems. Phys Rev A. 1979;19(4):1708–1711.
  • Urbanski M, Reyes CG, Noh J, et al. Liquid crystals in micron-scale droplets, shells and fibers. J Phys: Condens Matter. 2017;29(13):133003. .
  • Volovik GE, Landau LD, Lavrentovich OD. Topological dynamics of defects: boojums in nematic drops. J Exp Theor Phys. 1983;58(6):1159–1566.
  • Montiel S, Ros AA. Curves and surfaces. USA: American Mathematical Society; 2009.
  • Ohzono T, Katoh K, Wang C, et al. Uncovering different states of topological defects in schlieren textures of a nematic liquid crystal. Sci Rep. 2017;7(1):16814.
  • Kralj S, Murray BS, Rosenblatt C. Decomposition of strongly charged topological defects. Phys Rev E. 2017;95(4):042702.
  • Shu K, Yan R, Lin T, et al. Liquid-crystal medium and liquid-crystal display. Taiwan patent TW I663250 B; 2019 June 21st.
  • Tsung JW, Ting TL, Chen CY, et al. Transition of vertically aligned liquid crystal driven by fan-shaped electric field. J Appl Phys. 2017;122(11):115106. .
  • Tsung JW, Ting TL, Hsu WH. Free energy in vertically aligned liquid crystal mode. Liq Cryst. 2018;45(1):84–94.
  • Kléman M, Lavrentovich OD. Topological point defects in nematic liquid crystals. Philos Mag. 2006;86(25–26):4117–4137.
  • Tsung JW. Topological defect array in nematic liquid crystal. Proc SPIE. 2019;11092:1109209.
  • Tsung JW, Chen BY, Wang YZ. Shaping and positioning of topological defects in nematic liquid crystal cells equipped with patterned electrodes. Proc SPIE. 2020;11303:113030F.
  • Frank FC. I. Liquid crystals: on the theory of liquid crystals. Discuss Faraday Soc. 1958;25:19–28.
  • Yang DK, Wu ST. Fundamentals of liquid crystal devices. Chichester, UK: John Wiley & Sons, Ltd; 2014.
  • Saupe A. Disclination and properties of the director field in nematic and cholesteric liquid crystals. Mol Cryst Liq Cryst. 1973;21(3–4):211–238.
  • Bloss FD. An introduction to the methods of optical crystallography. New York (NY): Holt, Rinehart and Winston, Inc.; 1961.
  • Kruse K, Joanny JF, Jülicher F, et al. Asters, vortices, and rotating spirals in active gels of polar filaments. Phys Rev Lett. 2004;92(7):078101. .

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