Pattern-induced anchoring transitions in nematic liquid crystals
arXiv:1609.00171 · doi:10.1088/1361-648X/29/6/064002
Abstract
In this paper we revisit the problem of a nematic liquid crystal in contact with patterned substrates. The substrate is modelled as a periodic array of parallel infinite grooves of well-defined cross section sculpted on a chemically homogeneous substrate which favors local homeotropic anchoring of the nematic. We consider three cases: a sawtooth, a crenellated and a sinusoidal substrate. We analyse this problem within the modified Frank-Oseen formalism. We argue that, for substrate periodicities much larger than the extrapolation length, the existence of different nematic textures with distinct far-field orientations, as well as the anchoring transitions between them, are associated with the presence of topological defects either on or close to the substrate. For the sawtooth and sinusoidal case, we observe a homeotropic to planar anchoring transition as the substrate roughness is increased. On the other hand, a homeotropic to oblique anchoring transition is observed for crenellated substrates. In this case, the anchoring phase diagram shows a complex dependence on the substrate roughness and substrate anchoring strength.
36 pages, 15 figures, revised version submitted to Journal of Physics: Condensed Matter
References in corpus (5)
- Chiral structures and defects of lyotropic chromonic liquid crystals induced by saddle-splay elasticity
- Effective free energy method for nematic liquid crystals in contact with structured substrates
- PVLAS experiment, star cooling and BBN constraints: Possible interpretation with temperature dependent gauge symmetry breaking
- Particle selection through topographic surface patterns in nematic colloids
- Nematic liquid crystals on sinusoidal channels: the zigzag instability