Smectic Phases with Cubic Symmetry: The Splay Analog of the Blue Phase
arXiv:cond-mat/0206189 · doi:10.1103/PhysRevLett.89.215504
Abstract
We report on a construction for smectic blue phases, which have quasi-long range smectic translational order as well as long range cubic or hexagonal order. Our proposed structures fill space with a combination of minimal surface patches and cylindrical tubes. We find that for the right range of material parameters, the favorable saddle-splay energy of these structures can stabilize them against uniform layered structures.
4 pages, 4 eps figures, RevTeX
Cited by in corpus (14)
- Perspective: Geometrically-Frustrated Assemblies
- Interpretation of saddle-splay and the Oseen-Frank free energy in liquid crystals
- Hydrodynamics of polar liquid crystals
- Extrinsic Curvature, Geometric Optics, and Lamellar Order on Curved Substrates
- BPS Configurations in Smectics
- Helical Nanofilaments and the High Chirality Limit of Smectics-A
- Smectic blue phases: layered systems with high intrinsic curvature
- Conformal Smectics and their Many Metrics
- Role of Gaussian curvature on local equilibrium and dynamics of smectic-isotropic interfaces
- The liquid-crystalline smectic blue phases
- Membrane morphology induced by anisotropic proteins
- Numerical simulation of the twist-grain-boundary phase of chiral liquid crystals
- Compactness and sharp lower bound for a 2D smectics model
- Doubly-periodic instability pattern in a smectic A liquid crystal