Theory of hybrid defects, with coupled orientational order parameters, on flat and curved surfaces

Key Points

• This research aims to understand the behavior of hybrid defects influenced by coupled orientational order in various physical systems.
• Analyzed systems with coupled polar and nematic order parameters.
• Investigated effects on flat and curved surfaces using theoretical modeling.
• Explored systems including ferroelectric nematic liquid crystals and tilted hexatic phases.
• Identified novel defect structures arising from the coupling of order parameters.
• Showed how curvature affects the stability and dynamics of orientational orders.
• Revealed implications for designing materials with tailored properties based on defect behaviors.