Curvature-Induced Defect Unbinding in Toroidal Geometries

Details Curvature-Induced Defect Unbinding in Toroidal Geometries Curvature-Induced Defect Unbinding in Toroidal Geometries

2003-09-30

arxiv.org/abs/cond-mat/0309709v1

PRE 69 (2004) 041102

Physics

Condensed Matter

Soft Condensed Matter

12 pages, 15 eps figures

Scientific paper

10.1103/PhysRevE.69.041102

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.

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