Luttinger Liquid Behavior in Multiwall Carbon Nanotubes

Abstract

The low-energy theory for multi-wall carbon nanotubes including the\nlong-ranged Coulomb interactions, internal screening effects, and\nsingle-electron hopping between graphite shells is derived and analyzed by\nbosonization methods. Characteristic Luttinger liquid power laws are found for\nthe tunneling density of states, with exponents approaching their Fermi liquid\nvalue only very slowly as the number of conducting shells increases. With minor\nmodifications, the same conclusions apply to transport in ropes of single-wall\nnanotubes.\n