Effects of Coulomb interaction on resistivity of metallic carbon nanotubes with impurity potential

Abstract

Transport properties of two kinds of metallic states, which have been found in single wall carbon nanotubes, are examined in the presence of impurity potential and long-range Coulomb interaction. It is shown that Coulomb interaction leads to the power-law dependence in the resistivity as a function of temperature, and modifies the power of frequency dependence of the optical conductivity at zero temperature, which is seen in high frequency. However, the powers are different between both the states.