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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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and investigated via Monte Carlo simulations in Ref. [14]
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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
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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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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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