Banana and pizza-slice-shaped mesogens give a new constrained ferromagnet universality class
arXiv:1807.07039 · doi:10.1103/PhysRevE.100.012701
Abstract
It has been known that at high density, the local orientation of banana-shaped molecules shows a spontaneously bent state, giving rise to interesting liquid-crystalline phases such as splay-bend and twist-bend. This spontaneous bend can be modelled theoretically by allowing the bend elastic constant in the Frank elastic energy to become negative. Here we extend this idea to polar banana and pizza-slice-shaped molecules which can also splay spontaneously. By allowing both splay and bend elastic constants to be negative we discovered two additional new liquid crystalline phases. In particular, using renormalization group technique, we showed that the phase transition belongs to a new constrained ferromagnet universality class.
arXiv comment3 figures
References in corpus (8)
- Nematic twist-bend phase with nanoscale modulation of molecular orientation
- A Twist-Bend Chiral Helix of 8nm Pitch in a Nematic Liquid Crystal of Achiral Molecular Dimers
- Emergent Photons and New Transitions in the O(3) Sigma Model with Hedgehog Suppression
- Statistical mechanics of bend flexoelectricity and the twist-bend phase in bent-core liquid crystals
- Theories of Binary Fluid Mixtures: From Phase-Separation Kinetics to Active Emulsions
- Landau theory for helical nematic phases
- Statistical Mechanics of Splay Flexoelectricity in Nematic Liquid Crystals
- Phase ordering of zig-zag and bow-shaped hard needles in two dimensions