Untwisting of the helical structure in a plane layer of chiral liquid crystal

  • V. A. Belyakov
Condensed Matter

Abstract

The untwisting of the helical structure of a chiral liquid crystal (CLC) in a thin plane layer exposed to an external action (temperature or field) and its dependence on the molecular adhesive forces at the layer boundaries are studied theoretically. It is shown that the critical electric (magnetic) field for complete untwisting in a thin layer may be appreciably lower than in the corresponding bulk CLC sample, and, contrary to the latter, the untwisting proceeds jumpwise. The expressions relating the jump temperature (field), i.e., the magnitude of untwisting action, to the CLC material parameters, layer thickness, and surface adhesive potential are given. The jump temperature (field) hysteresis is studied. In particular, it is shown that, for certain parameters, the untwisted helix remains untwisted after the removal of external action. The revealed qualitative regularities of untwisting are illustrated by numerical computations with the use of particular parameters of a CLC layer.

PACS numbers

61.30.Gd 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    P. G. de Gennes, Solid State Commun. 6, 123 (1968).Google Scholar
  2. 2.
    R. Dreher, Appl. Phys. Lett. 12, 281 (1968).Google Scholar
  3. 3.
    V. A. Belyakov and V. E. Dmitrienko, Zh. Éksp. Teor. Fiz. 78, 1568 (1980) [Sov. Phys. JETP 51, 787 (1980)].Google Scholar
  4. 4.
    P. G. de Gennes and J. Prost, The Physics of Liquid Crystals (Clarendon, Oxford, 1993).Google Scholar
  5. 5.
    H. Zink and V. A. Belyakov, Mol. Cryst. Liq. Cryst. 265, 445 (1995); G. Zink and V. A. Belyakov, Pis’ma Zh. Éksp. Teor. Fiz. 63, 37 (1996) [JETP Lett. 63, 43 (1996)].Google Scholar
  6. 6.
    P. O. Andreeva, V. K. Dolganov, R. Fouret, et al., Phys. Rev. E 59, 4143 (1999).ADSCrossRefGoogle Scholar
  7. 7.
    R. Dreher, Solid State Commun. 13, 1571 (1973).Google Scholar
  8. 8.
    W. J. A. Goossens, J. Phys. (Paris) 43, 1469 (1982).Google Scholar
  9. 9.
    W. Greubel, Appl. Phys. Lett. 25, 5 (1974).CrossRefGoogle Scholar
  10. 10.
    W. Kuczynski, private communication.Google Scholar
  11. 11.
    V. A. Belyakov and E. I. Kats, Zh. Éksp. Teor. Fiz. 120, 430 (2001) [JETP 93, 380 (2001)].Google Scholar
  12. 12.
    V. A. Belyakov and E. I. Kats, Zh. Éksp. Teor. Fiz. 118, 560 (2000) [JETP 91, 488 (2000)].Google Scholar
  13. 13.
    L. M. Blinov, E. I. Kats, and A. A. Sonin, Usp. Fiz. Nauk 152, 449 (1987) [Sov. Phys. Usp. 30, 604 (1987)].Google Scholar
  14. 14.
    L. M. Blinov and V. G. Chigrinov, Electrooptics Effects in Liquid Crystal Materials (Springer-Verlag, New York, 1994), Chap. 3.Google Scholar
  15. 15.
    S. A. Pikin, Structural Transformations in Liquid Crystals (Nauka, Moscow, 1981).Google Scholar

Copyright information

© MAIK "Nauka/Interperiodica" 2002

Authors and Affiliations

  • V. A. Belyakov
    • 1
  1. 1.Landau Institute for Theoretical PhysicsRussian Academy of SciencesMoscowRussia

Personalised recommendations