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The core structure of half-integer wedge disclinations in nematic liquid crystals has been investigated within the Landau-de Gennes theory, by solution of the appropriate Euler-Lagrange equations. Close to the nematic-isotropic transition the energy density exhibits a domain-wall-like structure around the core which disappears at low temperatures. The inner core does not consist of isotropic fluid, and the core is heavily biaxial at all temperatures.
Schopohl et al. (Mon,) studied this question.