Defect generation and deconfinement on corrugated topographies

Details Defect generation and deconfinement on corrugated topographies Defect generation and deconfinement on corrugated topographies

2004-06-15

arxiv.org/abs/cond-mat/0406328v1

Phys. Rev. E 70, 051105 (2004)

Physics

Condensed Matter

Soft Condensed Matter

24 pages

Scientific paper

10.1103/PhysRevE.70.051105

We investigate topography-driven generation of defects in liquid crystals films coating frozen surfaces of spatially varying Gaussian curvature whose topology does not automatically require defects in the ground state. We study in particular disclination-unbinding transitions with increasing aspect ratio for a surface shaped as a Gaussian bump with an hexatic phase draped over it. The instability of a smooth ground state texture to the generation of a single defect is also discussed. Free boundary conditions for a single bump are considered as well as periodic arrays of bumps. Finally, we argue that defects on a bump encircled by an aligning wall undergo sharp deconfinement transitions as the aspect ratio of the surface is lowered.

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