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Biaxial potential of surface-stabilized ferroelectric liquid crystals

Anatoly Kaznacheev1, Evgeny Pozhidaev2, Vladimir Rudyak3, Alexander V. Emelyanenko3, and Alexei Khokhlov3

  • 1Nesmeyanov Institute of Organoelement Compounds RAS, Moscow, Russia
  • 2Lebedev Physical Institute RAS, Moscow, Russia
  • 3Lomonosov Moscow State University, Moscow, Russia

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Phys. Rev. E 97, 042703 – Published 10 April, 2018

DOI: https://doi.org/10.1103/PhysRevE.97.042703

Abstract

A biaxial surface potential Φs of smectic-C* surface-stabilized ferroelectric liquid crystals (SSFLCs) is introduced in this paper to explain the experimentally observed electric-field dependence of polarization P̃cell(E), in particular the shape of the static hysteresis loops. Our potential consists of three independent parts. The first nonpolar part Φn describes the deviation of the prime director n (which is the most probable orientation of the long molecular axes) from the easy alignment axis R, which is located in the boundary surface plane. It is introduced in the same manner as the uniaxial Rapini potential. The second part Φp of the potential is a polar term associated with the presence of the polar axis in a FLC. The third part Φm relates to the inherent FLC biaxiality, which has not been taken into consideration previously. The Φm part takes into account the deviations of the secondary director m (which is the most probable orientation of the short molecular axes) from the normal to the boundary surface. The overall surface potential Φs, which is a sum of Φn,Φp, and Φm, allows one to model the conditions when either one, two, or three minima of the SSFLC cell free energy are realized depending on the biaxiality extent. A monodomain or polydomain structure, as well as the bistability or monostability of SSFLC cells, depends on the number of free-energy minima, as confirmed experimentally. In this paper, we analyze the biaxiality impact on the FLC alignment. We also answer the question of whether the bistable or monostable structure can be formed in an SSFLC cell. Our approach is essentially based on a consideration of the biaxial surface potential, while the uniaxial surface potential cannot adequately describe the experimental observations in the FLC.

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References (61)

  1. N. A. Clark and S. T. Lagerwall, Submicrosecond bistable electro-optic switching in liquid crystals, Appl. Phys. Lett. 36, 899 (1980).
  2. S. T. Lagerwall, Ferroelectric and Antiferroelectric Liquid Crystals (Wiley-VCH, New York, 1999), p. 427.
  3. E. Pozhidaev, V. Chigrinov, and X. Li, Photoaligned ferroelectric liquid crystal passive matrix display with memorized gray scale, Jpn. J. Appl. Phys. 45, 875 (2006).
  4. E. P. Pozhidaev and V. G. Chigrinov, Bistable and multistable states in ferroelectric liquid crystals, Crystallogr. Rep. 51, 1030 (2006).
  5. A. V. Emelyanenko and E. P. Pozhidaev, Multistability in the mixtures of smectic-C*materials with compensated twisting power, Phys. Rev. E 93, 042705 (2016).
  6. N. A. Clark, D. Coleman, and J. E. Maclennan, Electrostatics and the electro-optic behaviour of chiral smectics C: “block” polarization screening of applied voltage and “V-shaped” switching, Liq. Cryst. 27, 985 (2000).
  7. L. M. Blinov, E. P. Pozhidaev, F. V. Podgornov, S. A. Pikin, S. P. Palto, A. Sinha, A. Yasuda, S. Hashimoto, and W. Haase, Thresholdless hysteresis-free switching as an apparent phenomenon of surface stabilized ferroelectric liquid crystal cells, Phys. Rev. E 66, 021701 (2002).
  8. L. M. Blinov, E. P. Pozhidaev, F. V. Podgornov, A. Sinha, and W. Haase, Hysteresis inversion frequency for V-shape electrooptical switching controlled by dynamic impedance of ferroelectric SmC*phase, Ferroelectrics 277, 3 (2002).
  9. M. J. O'Callaghan, Switching dynamics and surface forces in thresholdless “V-shaped” switching ferroelectric liquid crystals, Phys. Rev. E 67, 011710 (2003).
  10. L. M. Blinov, S. P. Palto, E. P. Pozhidaev, Yu. P. Bobilev, V. M. Shoshin, A. L. Andreev, F. V. Podgornov, and W. Haase, High frequency hysteresis free switching in thin layers of smecticC*ferroelectric liquid crystals, Phys. Rev. E 71, 051715 (2005).
  11. W. A. Crossland, A. B. Davey, and M. M. Redmond, Electro-optical bistability in ferroelectric liquid crystal switching devices for use in displays and real-time holography, Ferroelectrics 312, 3 (2004).
  12. G. Manolis, M. M. Redmond, W. A. Crossland, A. B. Davey, and T. D. Wilkinson, Control of the electro-optic bistability of some ferroelectric liquid crystals useful for binary phase optical modulators, Mol. Cryst. Liq. Cryst. 351, 305 (2000).
  13. M. Honma, W. Toyoshima, and T. Nose, Bistable liquid crystal device fabricated via microscale liquid crystal alignment, J. Appl. Phys. 120, 143105 (2016).
  14. I. Dahl, S. T. Lagerwall, and K. Skarp, Simple model for the polarization reversal current in a ferroelectric liquid crystal, Phys. Rev. A 36, 4380 (1987).
  15. C. Reynaerts and A. de Vos, Hysteresis loops of ferroelectric liquid crystal displays, Ferroelectrics 113, 439 (1991).
  16. E. P. Pozhidaev, V. G. Chigrinov, Yu. P. Bobilev, V. M. Shoshin, A. A. Zhukov, A. L. Andreev, I. N. Kompanets, L. Xihua, E. E. Gukasjan, P. S. Komarov, O. A. Shadura, and H. S. Kwok, Passively addressed FLC display possessing an inherent gray scale and memory, J. Soc. Inform. Disp. 14, 633 (2006).
  17. A. D. Kiselev, V. G. Chigrinov, and E. P. Pozhidaev, Switching dynamics of surface stabilized ferroelectric liquid crystal cells: Effects of anchoring energy asymmetry, Phys. Rev. E 75, 061706 (2007).
  18. M. V. Gorkunov, M. A. Osipov, J. P. F. Lagerwall, and F. Giesselmann, Order-disorder molecular model of the smectic-A–smectic-C phase transition in materials with conventional and anomalously weak layer contraction, Phys. Rev. E 76, 051706 (2007).
  19. M. A. Osipov, M. V. Gorkunov, H. F. Gleeson, and S. Jaradat, Molecular models for ferroelectric liquid crystals with conventional and anomalously weak layer contraction, Eur. Phys. J. E 26, 395 (2008).
  20. A. Rapini and M. J. Papoular, Distortion d'une lamelle nematique sous champ magnetique d'ancrage aux parois, J. Phys. (Paris) Colloq. 30, C4-54 (1969).
  21. N. A. Clark, M. A. Handschy, and S. T. Lagerwall, Ferroelectric liquid crystal electro-optics using the surface stabilized structure, Mol. Cryst. Liq. Cryst. 94, 213 (1983).
  22. P. G. Amaya, M. A. Handschy, and N. A. Clark, Dynamic response of molecular orientation in ferroelectric liquid crystals, Opt. Eng. 23, 261 (1984).
  23. M. A. Handschy, N. A. Clark, and S. T. Lagerwall, Field-Induced First-Order Orientation Transitions in Ferroelectric Liquid Crystals, Phys. Rev. Lett. 51, 471 (1983).
  24. E. P. Pozhidaev, V. G. Chigrinov, Yu. P. Panarin, and V. F. Vorflusev, Anchoring energy of a ferroelectric liquid crystal with solid surface, Mol. Mater. 2, 225 (1993).
  25. V. G. Chigrinov, Yu. P. Panarin, V. F. Vorflusev, and E. P. Pozhidaev, Aligning properties and anchoring strength of ferroelectric liquid crystals, Ferroelectrics 178, 145 (1996).
  26. M. Čopič, J. E. Maclennan, and N. A. Clark, Structure and dynamics of ferroelectric liquid crystal cells exhibiting thresholdless switching, Phys. Rev. E 65, 021708 (2002).
  27. N. Vaupotič and M. Čopič, Effect of spontaneous polarization and polar surface anchoring on the director and layer structure in surface-stabilized ferroelectric liquid crystal cells, Phys. Rev. E 68, 061705 (2003).
  28. A. V. Kaznacheev and E. P. Pozhidaev, Anchoring energy and orientational elasticity of a ferroelectric liquid crystal, J. Exp. Theor. Phys. 114, 1043 (2012).
  29. T. P. Rieker, N. A. Clark, G. S. Smith, D. S. Parma, E. B. Sirota, and C. R. Safinya, “Chevron” Local Layer Structure in Surface-Stabilized Ferroelectric Smectic-C Cells, Phys. Rev. Lett. 59, 2658 (1987).
  30. E. Pozhidaev, V. Chigrinov, D. Huang, A. Zhukov, J. Ho, and H. S. Kwok, Photoalignment of ferroelectric liquid crystals by azodye layers, Jpn. J. Appl. Phys. 43, 5440 (2004).
  31. J.-K. Song, A. D. L. Chandani, A. Fukuda, J. K. Vij, I. Kobayashi, and A. V. Emelyanenko, Temperature-induced sign reversal of biaxiality observed by conoscopy in some ferroelectric Sm-C*liquid crystals, Phys. Rev. E 76, 011709 (2007).
  32. J.-K. Song, J. K. Vij, and B. K. Sadashiva, Conoscopy of chiral smectic liquid crystal cells, J. Opt. Soc. Am. A 25, 1820 (2008).
  33. S. P. Kotova, S. A. Samagin, E. P. Pozhidaev, and A. D. Kiselev, Light modulation in planar aligned short-pitch deformed-helix ferroelectric liquid crystals, Phys. Rev. E 92, 062502 (2015).
  34. J. E. Maclennan, N. A. Clark, and D. M. Walba, Biaxial model of the surface anchoring of bent-core smectic liquid crystals, Phys. Rev. E 64, 031706 (2001).
  35. D. D. Huang, E. P. Pozhidaev, V. G. Chigrinov, H. L. Cheung, Y. L. Ho, and H. S. Kwok, Photo-aligned ferroelectric liquid crystal displays based on azo-dye layers, Displays 25, 21 (2004).
  36. A. A. Zhukov, E. P. Pozhidaev, A. A. Bakulin, and P. G. Babaevskiĭ, Energy criteria for orientation of smectic C* liquid crystals in electrooptic elements, Crystallogr. Rep. 51, 680 (2006).
  37. Y. Takanishi, Y. Ouchi, H. Takezoe, A. Fukuda, A. Mochizuki, and M. Nakatsuka, Spontaneous formation of quasi-bookshelf layer structure in new ferroelectric liquid crystals derived from a naphthalene ring, Jpn. J. Appl. Phys., Pt. 2 29, L984 (1990).
  38. A. Mochizuki, M. Hirose, M. Nakatsuka, and M. Toatsu, Zigzag defect free alignment and good bistability of surface stabilized Sc* cells, Ferroelectrics 113, 353 (1991).
  39. C. P. J. Schubert, A. Bogner, J. H. Porada, K. Ayub, T. Andrea, F. Giesselmann, and R. P. Lemieux, Design of liquid crystals with “de Vrieslike” properties: Carbosilane terminated 5-phenylpyrimidine mesogens suitable for chevron-free FLC formulations, J. Mater. Chem. C 2, 4581 (2014).
  40. E. P. Pozhidaev, V. V. Vashchenko, V. V. Mikhailenko, A. I. Krivoshey, V. A. Barbashov, L. Shi, A. K. Srivastava, V. G. Chigrinov, and H. S. Kwok, Ultrashort helix pitch antiferroelectric liquid crystals based on chiral esters of terphenyl dicarboxylic acid, J. Mater. Chem. C 4, 10339 (2016).
  41. A. V. Kaznacheev and E. P. Pozhidaev, Effect of boundary surfaces on the effective dielectric susceptibility of the helical structure of a ferroelectric liquid crystal, J. Exp. Theor. Phys. 121, 355 (2015).
  42. L. A. Beresnev, V. A. Baikalov, L. M. Blinov, E. P. Pozhidaev, and G. V. Purvanetskas, First non-helicoidal ferroelectric liquid crystal, JETP Lett. 33, 536 (1981).
  43. A. Z. Rabinovich, M. V. Loseva, N. I. Chernova, E. P. Pozhidaev, O. S. Petrachevich, and J. S. Narkevich, Manifestation of chiral asymmetry of ferroelectric liquid crystals induced by optically active dipole dopants in a linear electrooptic effect, Liq. Cryst. 6, 533 (1989).
  44. M. V. Loseva, N. I. Chernova, A. Z. Rabinovich, E. P. Pozhidaev, J. S. Narkevich, O. S. Petrachevich, E. M. Kazachkov, N. I. Korotkova, M. Shadt, and R. Bucheker, Structure of optically active compounds and ferroelectric properties of liquid crystals, Ferroelectrics 114, 357 (1991).
  45. K. K. Zhuravlev and M. D. McCluskey, Conformation of p-terphenyl under hydrostatic pressure, J. Chem. Phys. 120, 1841 (2004).
  46. T. Liu, S. Hu, C. Sun, and M. Zhou, Raman spectroscopic studies on p-terphenyl under high pressure, Chem. Phys. Lett. 615, 1 (2014).
  47. E. P. Pozhidaev, S. I. Torgova, V. A. Barbashov, M. V. Minchenko, S. N. Silyanov, P. V. Dorovatovskii, B. I. Ostrovskii, and A. Strigazzi, Ferroelectric C*phase induced in a nematic liquid crystal matrix by a chiral non-mesogenic dopant, Appl. Phys. Lett. 106, 062904 (2015).
  48. D. Coleman, D. Mueller, N. A. Clark, J. E. Maclennan, R.-F. Shao, S. Bardon, and D. M. Walba, Control of Molecular Orientation in Electrostatically Stabilized Ferroelectric Liquid Crystals, Phys. Rev. Lett. 91, 175505 (2003).
  49. E. Pozhidaev, F. C. M. Friere, C. A. R. Yednak, A. Strigazzi, S. Torgova, V. Molkin, and M. Minchenko, Permittivity of chiral smectics in the broad range from 0.1 mHz to 50 kHz: Discovery of sub-mHz dielectric dispersion, Mol. Cryst. Liq. Cryst. 546, 186 (2011).
  50. Z. Brodzeli, L. Silvestri, A. Michie, Q. Guo, E. P. Pozhidaev, V. Chigrinov, and F. Ladouceur, Sensor at your fibre tips: A novel liquid crystal based photonic transducer for sensing systems, J. Lightwave Technol. 31, 2940 (2013).
  51. K. H. Yang, T. C. Chieu, and S. Osofsky, Depolarization field and ionic effect on the bistability of surface stabilized ferroelectric liquid crystal devices, Appl. Phys. Lett. 55, 125 (1989).
  52. K. H. Yang and T. C. Chieu, Dominant factors influence the bistability of surface stabilized ferroelectric liquid crystal devices, Jpn. J. Appl. Phys. 28, L1599 (1989).
  53. E. P. Pozhidaev, A. D. Kiselev, A. K. Schrivastava, V. G. Chigrinov, H. S. Kwok, and M. Minchenko, Orientational Kerr effect and phase modulation of light in deformed-helix ferroelectric liquid crystals with subwavelength pitch, Phys. Rev. E 87, 052502 (2013).
  54. D. W. Berreman, Twisted smectic C* phase: Unique optical properties, Mol. Cryst. Liq. Cryst. 22, 175 (1973).
  55. K. Hori, Angular dependence of selective reflection from the chiral smectic C* phase, Mol. Cryst. Liq. Cryst. 82, 13 (1982).
  56. E. P. Pozhidaev, M. A. Osipov, V. G. Chigrinov, V. A. Baikalov, L. M. Blinov, and L. A. Beresnev, Zh. Eksp. Teor. Fiz. 94, 125 (1988).
  57. G. Hegde, P. Xu, E. Pozhidaev, V. Chigrinov, and H. S. Kwok, Electrically controlled birefringence colours in deformed helix ferroelectric liquid crystals, Liq. Cryst. 35, 1137 (2008).
  58. E. P. Pozhidaev, G. Hegde, P. Hu, V. G. Chigrinov, and H. S. Kwok, Electrically controlled birefringent colors of smectic C* deformed helix ferroelectric liquid crystal cells, Ferroelectrics 365, 35 (2008).
  59. A. de Vries, Experimental-evidence concerning two different kinds of smectic-C to smectic-A transitions, Mol. Cryst. Liq. Cryst. 41, 27 (1977).
  60. A. de Vries, A. Ekachai, and N Spielberg, Why the molecules are tilted in all smectic A phases, and how the layer thickness can be used to measure orientational disorder, Mol. Cryst. Liq. Cryst. 49, 143 (1979).
  61. V. Swaminathan, V. P. Panov, Yu. P. Panarin, S. P. Sreenilayam, J. K. Vij, A. Panov, D. Rodriguez-Lojo, P. J. Stevenson, and E. Gorecka, The effect of chiral doping in achiral smectic liquid crystals on the de Vries characteristics: Smectic layer thickness, electro-optics and birefringence, Liq. Cryst. 45, 513 (2017).

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Phys. Rev. E 97, 042703– Published 10 April, 2018
  • Received 16 September 2017
  • Revised 15 December 2017
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