Abstract
The low-energy theory of metallic carbon nanotubes is derived by bosonization methods. For single-wall nanotubes, the electron-electron interaction destroys the Fermi liquid state and leads to Luttinger liquid behavior. For individual multi-wall nanotubes or a rope of single-wall nanotubes, correlations are also important and can imply Luttinger liquid behavior again. Characteristic Luttinger liquid power laws are found for the tunneling density of states and the linear conductance in the presence of a backscatterer, with exponents approaching their Fermi liquid value only very slowly as the number of conducting shells or tubes increases.
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