Smectic-glass transition in a liquid crystal cell with a "dirty" substrate

Details Smectic-glass transition in a liquid crystal cell with a "dirty" substrate Smectic-glass transition in a liquid crystal cell with a "dirty" substrate

2011-12-14

arxiv.org/abs/1112.3296v1

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 2 figures

Scientific paper

We explore the smectic liquid-crystal order in a cell with a "dirty" substrate imposing random pinnings. Within a harmonic elasticity we find a subtle three-dimensional surface disorder-driven transition into a pinned smectic-glass, controlled by a three-dimensional Cardy-Ostlund-like fixed line, akin to a super-rough phase of a two-dimensional xy model. We compute the associated random substrate driven distortions of the smectic-glass state, identify the characteristic length scales on the heterogeneous substrate and in the bulk, and discuss a variety of experimental signatures.

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