Possibility of a Field-Induced Hexagonal Blue Phase in Cholesteric Liquid Crystals

R. M. Hornreich; M. Kugler; S. Shtrikman

doi:10.1103/PhysRevLett.54.2099

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Possibility of a Field-Induced Hexagonal Blue Phase in Cholesteric Liquid Crystals

R. M. Hornreich

M. Kugler

S. Shtrikman

Department of Electronics, Weizmann Institute of Science, Rehovot 76 100, Israel

Department of Physics, Weizmann Institute of Science, Rehovot 76 100, Israel

Department of Electronics, Weizmann Institute of Science, Rehovot 76 100, Israel

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Phys. Rev. Lett. 54, 2099 – Published 13 May, 1985

DOI: https://doi.org/10.1103/PhysRevLett.54.2099

Abstract

Phase diagrams of cholesteric liquid crystals in relatively weak electric or magnetic fields are calculated. In very weak fields the helicoidal-phase region grows at the expense of the cubic blue phases. A new phase, having a two-dimensional structure, is shown to appear at physically realizable chiralities for fields exceeding $E ≃ \frac{70}{{(Δ ε)}^{\frac{1}{2}}}$ kV/cm and $H ≃ \frac{20}{{(Δ χ)}^{\frac{1}{2}}}$ Oe, where $Δ ε (Δ χ)$ is the dielectric (diamagnetic) anisotropy. This structure exists between the disordered and cubic-blue-phase regions in the phase diagram.

References (18)

H. Stegemeyer and K. Bergmann, in Liquid Crystals of One- and Two-Dimensional Order, edited by W. Heltrich and G. Heppke (Springer, Berlin, 1980), p. 161 P. P. Crooker, Mol. Cryst. Liq. Cryst. 98, 31 (1983)
S. A. Brazovskii and S. G. Dmitriev, Zh. Eksp. Teor. Fiz. 69, 979 (1975) [Sov. Phys. JETP 42, 497 (1976)]
Omitted endnote
R. M. Hornreich and S. Shtrikman, J. Phys. (Paris) 41, 335 (1980) ibid.42, 367(E) (1981)
H. Grebel, R. M. Hornreich, and S. Shtrikman, Phys. Rev. A 28, 1114 (1983) [2]
P. G. de Gennes, Mol. Cryst. Liq. Cryst. 12, 193 (1971)
H. Grebel, R. M. Hornreich, and S. Shtrikman, Phys. Rev. A 30, 3264 (1984)
([5,7])
D. L. Johnson, J. H. Flack, and P. P. Crooker, Phys. Rev. Lett. 45, 641 (1980)
C. C. Yang, Phys. Rev. Lett. 28, 955 (1972)
P. G. de Gennes, Solid State Commun. 6, 163 (1968)
R. B. Meyer, Appl. Phys. Lett. 14, 208 (1968)
D. Armitage and R. J. Cox, Mol. Cryst. Liq. Cryst. 64, 41 (1980)
P. L. Finn and P. Cladis, Mol. Cryst. Liq. Cryst. 84, 159 (1982)
G. Heppke, M. Kurmrey, and F. Oestreicher, Mol. Cryst. Liq. Cryst. 99, 99 (1983)
F. Porsch and H. Stegemeyer, Phys. Rev. A 30, 3369 (1984)
P. G. de Gennes, The Physics of Liquid Crystals (Clarendon, Oxford, 1974) M. J. Stephen and J. P. Stanley, Rev. Mod. Phys. 46, 617 (1974)
R. M. Hornreich, M. Kugler, and S. Shtrikman, Phys. Rev. Lett. 48, 1404 (1982) [7]

[c1] H. Stegemeyer and K. Bergmann, in Liquid Crystals of One- and Two-Dimensional Order, edited by W. Heltrich and G. Heppke (Springer, Berlin, 1980), p. 161 P. P. Crooker, Mol. Cryst. Liq. Cryst. 98, 31 (1983)

[c2] S. A. Brazovskii and S. G. Dmitriev, Zh. Eksp. Teor. Fiz. 69, 979 (1975) [Sov. Phys. JETP 42, 497 (1976)]

[c3] Omitted endnote

[c4] R. M. Hornreich and S. Shtrikman, J. Phys. (Paris) 41, 335 (1980) ibid.42, 367(E) (1981)

[c5] H. Grebel, R. M. Hornreich, and S. Shtrikman, Phys. Rev. A 28, 1114 (1983) [2]

[c6] P. G. de Gennes, Mol. Cryst. Liq. Cryst. 12, 193 (1971)

[c7] H. Grebel, R. M. Hornreich, and S. Shtrikman, Phys. Rev. A 30, 3264 (1984)

[c8] ([5,7])

[c9] D. L. Johnson, J. H. Flack, and P. P. Crooker, Phys. Rev. Lett. 45, 641 (1980)

[c10] C. C. Yang, Phys. Rev. Lett. 28, 955 (1972)

[c11] P. G. de Gennes, Solid State Commun. 6, 163 (1968)

[c12] R. B. Meyer, Appl. Phys. Lett. 14, 208 (1968)

[c13] D. Armitage and R. J. Cox, Mol. Cryst. Liq. Cryst. 64, 41 (1980)

[c14] P. L. Finn and P. Cladis, Mol. Cryst. Liq. Cryst. 84, 159 (1982)

[c15] G. Heppke, M. Kurmrey, and F. Oestreicher, Mol. Cryst. Liq. Cryst. 99, 99 (1983)

[c16] F. Porsch and H. Stegemeyer, Phys. Rev. A 30, 3369 (1984)

[c17] P. G. de Gennes, The Physics of Liquid Crystals (Clarendon, Oxford, 1974) M. J. Stephen and J. P. Stanley, Rev. Mod. Phys. 46, 617 (1974)

[c18] R. M. Hornreich, M. Kugler, and S. Shtrikman, Phys. Rev. Lett. 48, 1404 (1982) [7]

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Possibility of a Field-Induced Hexagonal Blue Phase in Cholesteric Liquid Crystals

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