23 research outputs found
Size, Shape and Low Energy Electronic Structure of Carbon Nanotubes
A theory of the long wavelength low energy electronic structure of
graphite-derived nanotubules is presented. The propagating electrons are
described by wrapping a massless two dimensional Dirac Hamiltonian onto a
curved surface. The effects of the tubule size, shape and symmetry are included
through an effective vector potential which we derive for this model. The rich
gap structure for all straight single wall cylindrical tubes is obtained
analytically in this theory, and the effects of inhomogeneous shape
deformations on nominally metallic armchair tubes are analyzed.Comment: 5 pages, 3 postscript figure