Curvature-Induced Defect Unbinding in Toroidal Geometries

Abstract

Toroidal templates such as vesicles with hexatic bond orientational order are discussed. The total energy including disclination charges is explicitly computed for hexatic order embedded in a toroidal geometry. Related results apply for tilt or nematic order on the torus in the one Frank constant approximation. Although there is no topological necessity for defects in the ground state, we find that excess disclination defects are nevertheless energetically favored for fat torii or moderate vesicle sizes. Some experimental consequences are discussed.

arXiv comment12 pages, 15 eps figures

References in corpus (4)

• Grain Boundary Scars and Spherical Crystallography
• Interacting Topological Defects on Frozen Topographies
• The Geometrical Structure of 2d Bond-Orientational Order
• Phase Diagrams for Deformable Toroidal and Spherical Surfaces with Intrinsic Orientational Order

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