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Volumn 68, Issue 4 1, 2003, Pages 417011-417017

Hexatic-herringbone coupling at the hexatic transition in smectic liquid crystals: 4-ε renormalization group calculations revisited

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; CRYSTAL ORIENTATION; EIGENVALUES AND EIGENFUNCTIONS; FREE ENERGY; HAMILTONIANS; HIGH TEMPERATURE EFFECTS; MATHEMATICAL MODELS; MOLECULAR DYNAMICS; PHASE TRANSITIONS;

EID: 18544405825     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (12)

References (39)
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    • A transition in a two-dimensional model of an anisotropic liquid crystal with induced bond order is discussed in M.J.P. Gingras, P.C.W. Holdsworth, and B. Bergersen, Europhys. Lett. 9, 539 (1989); Phys. Rev. A 41, 3377 (1990); 41, 6786 (1990).
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    • A transition in a two-dimensional model of an anisotropic liquid crystal with induced bond order is discussed in M.J.P. Gingras, P.C.W. Holdsworth, and B. Bergersen, Europhys. Lett. 9, 539 (1989); Phys. Rev. A 41, 3377 (1990); 41, 6786 (1990).
    • (1990) Phys. Rev. A , vol.41 , pp. 3377
  • 19
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    • A transition in a two-dimensional model of an anisotropic liquid crystal with induced bond order is discussed in M.J.P. Gingras, P.C.W. Holdsworth, and B. Bergersen, Europhys. Lett. 9, 539 (1989); Phys. Rev. A 41, 3377 (1990); 41, 6786 (1990).
    • (1990) Phys. Rev. A , vol.41 , pp. 6786
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    • J. Lee et al., Phys. Rev. B 44, 4819 (1991); E. Granato et al., Phys. Rev. Lett. 66, 1090 (1991).
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  • 27
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    • and investigated via Monte Carlo simulations in Ref. [14]
    • The liquid crystal phase discussed here is, at least at the Ginzburg-Landau level considered, equivalent to the 2D locked hexatic-nematic state as mentioned by D.R. Nelson and B.I. Halperin, Phys. Rev. B 21, 5312 (1980), and investigated via Monte Carlo simulations in Ref. [14].
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    • note
    • The complete parametrization of the crystalline E phase should also include a third order parameter: the amplitude of the Fourier transform of the mass density at the Bragg reciprocal wave vector.
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    • edited by C. Domb and M.S. Green (Academic Press, New York)
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    • note
    • 2 fields are assumed to have a homogeneous and constant phase relationship arbitrarily set to zero in spirit to the theories used in Refs. [12,20]. In other words, the Ginzburg-Landau-Wilson free energies for the smetic-A-hexatic-B problem are not local gauge theories.
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