Dispersion Interactions between Optically Anisotropic Cylinders at all Separations: Retardation Effects for Insulating and Semiconducting Single Wall Carbon Nanotubes

Abstract

We derive the complete form of the van der Waals dispersion interaction between two infinitely long anisotropic semiconducting/insulating thin cylinders at all separations. The derivation is based on the general theory of dispersion interactions between anisotropic media as formulated in [J. N. Munday, D. Iannuzzi, Yu. S. Barash and F. Capasso, {\sl Phys. Rev. A} {\bf 71}, 042102 (2005)]. This formulation is then used to calculate the dispersion interactions between a pair of single walled carbon nanotubes at all separations and all angles. Non-retarded and retarded forms of the interactions are developed separately. The possibility of repulsive dispersion interactions and non-monotonic dispersion interactions is discussed within the framework of the new formulation.

References in corpus (4)

• On the torque on birefringent plates induced by quantum fluctuations
• Casimir forces between cylinders and plates
• Nonmonotonic effects of parallel sidewalls on Casimir forces between cylinders
• An alternative calculation of the Casimir forces between birefringent plates

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• Universality versus material dependence of fluctuation forces between metallic wires
• Molecular recognition by van der Waals interaction between polymers with sequence-specific polarizabilities
• Ordering of anisotropic polarizable polymer chains on the full many-body level
• Collective charge fluctuations and Casimir interactions for quasi one-dimensional metals
• Phonon interference in the array of carbon nanotubes