Quantum anomalies in carbon nanotubes

A brief review is given on electronic and transport properties of carbon nanotubes mainly from a theoretical point of view. The topics also include a description of electronic states in a tight-binding model and in an effective-mass or k·p scheme. Transport properties are discussed including absence of backward scattering except for scatterers with a potential range smaller than the lattice constant, its extension to multi-bands cases, long-wavelength phonons and electron–phonon scattering, effects of lattice vacancies, and junctions together with topological defects.