  The dynamical conductance of electrically contacted single-walled carbon
nanotubes is measured from dc to 10 GHz as a function of source-drain voltage
in both the low-field and high-field limits. The ac conductance of the nanotube
itself is found to be equal to the dc conductance over the frequency range
studied for tubes in both the ballistic and diffusive limit. This clearly
demonstrates that nanotubes can carry high-frequency currents at least as well
as dc currents over a wide range of operating conditions. Although a detailed
theoretical explanation is still lacking, we present a phenomenological model
of the ac impedance of a carbon nanotube in the presence of scattering that is
consistent with these results.
