Topological Casimir effect in nanotubes and nanoloopes

Details Topological Casimir effect in nanotubes and nanoloopes Topological Casimir effect in nanotubes and nanoloopes

2009-11-06

arxiv.org/abs/0911.1207v1

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 1 figure, Contribution to Proceedings of QFEXT09, 21-25 September 2009, Oklahoma, USA

Scientific paper

The Casimir effect is investigated in cylindrical and toroidal carbon nanotubes within the framework of the Dirac-like model for the electronic states. The topological Casimir energy is positive for metallic cylindrical nanotubes and is negative for semiconducting ones. The toroidal compactification of a cylindrical nanotube along its axis increases the Casimir energy for metallic-type (periodic) boundary conditions along its axis and decreases the Casimir energy for the semiconducting-type compactifications. For finite length metallic nanotubes the Casimir forces acting on the tube edges are always attractive, whereas for semiconducting-type ones they are attractive for small lengths of the nanotube and repulsive for large lengths.

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