Size, Shape, and Low Energy Electronic Structure of Carbon Nanotubes

1996/08/28 by C. L. Kane, E. J. Mele, E. J. Melé · 6 citations
Chemistry · Materials Science · Physics and Astronomy · #Carbon Nanotubes in Composites #Carbon nanotube #Composite material #Condensed matter physics #Electron #Electronic band structure #Electronic structure #Fullerene Chemistry and Applications #Geometry #Graphene research and applications #Graphite #Hamiltonian (control theory) #Massless particle #Materials science #Molecular physics #Nanotechnology #Optics #Physics #Quantum mechanics #Symmetry (geometry) #Wavelength #cond-mat #mtrl-th

paper · pdf · doi:10.1103/physrevlett.78.1932

5 pages, 3 postscript figures

arxiv created 1996/08/28 · openalex publication_date 1997/03/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A theory of the long-wavelength low-energy electronic structure of graphite-derived nanotubules is presented. The propagating \ensuremathπ 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.

Citations

• Are fullerene tubules metallic?

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