  The random phase approximation (RPA) theory is used to derive the Luttinger
parameter g for metallic carbon nanotubes. The results are consistent with the
Tomonaga-Luttinger models. All metallic carbon nanotubes, regardless if they
are armchair tubes, zigzag tubes, or chiral tubes, should have the same
Luttinger parameter g. However, a (10,10) carbon peapod should have a smaller g
value than a (10,10) carbon nanotube. Changing the Fermi level by applying a
gate voltage has only a second order effect on the g value. RPA theory is a
valid approach to calculate plasmon energy in carbon nanotube systems,
regardless if the ground state is a Luttinger liquid or Fermi liquid. (This
paper was published in PRB 66, 193405 (2002). However, Eqs. (6), (9), and (19)
were misprinted there.)
