L Petridis and E M Terentjev 2006 J. Phys. A: Math. Gen. 39 9693 doi:10.1088/0305-4470/39/31/003
Quenched disorder and spin-glass correlations in XY nematics
L Petridis and E M Terentjev
Show affiliationsWe present a theoretical study of the equilibrium ordering in a 3D XY nematic system with quenched random disorder. Within this model, treated with the replica trick and Gaussian variational method, the correlation length is obtained as a function of the local nematic order parameter Q and the effective disorder strength Γ. These results, 
and ξ ~ (1/Γ) e−Γ, clarify what happens in the limiting cases of diminishing Q and Γ, that is near a phase transition of a pure system. In particular, it is found that quenched disorder is irrelevant as Q → 0 and hence does not change the character of the continuous XY nematic–isotropic phase transition. We discuss how these results compare with experiments and simulations.
- PACS
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61.30.Gd Orientational order of liquid crystals; electric and magnetic field effects on order
64.70.M- Transitions in liquid crystals
61.30.Dk Continuum models and theories of liquid crystal structure
- MSC
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76A15 Liquid crystals (See also 82D30)
82D30 Random media, disordered materials (including liquid crystals and spin glasses)
- Subjects
- Dates
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Issue 31 (4 August 2006)
Received 12 April 2006, in final form 22 June 2006
Published 19 July 2006
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Quenched disorder and spin-glass correlations in XY nematics
L Petridis and E M Terentjev 2006 J. Phys. A: Math. Gen. 39 9693
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