Effects of long range electronic interactions on a one-dimensional electron system

The effects of a long range electronic potential on a one dimensional chain of spinless fermions are investigated by numerical techniques and analytic calculations. Due to a competition between the 2k(F) oscillations in the d ensity and the log divergence of the long wavelength part of the Coulomb po tential, the metallic character of the system is enhanced at intermediate ( and up to quite large) lengthscales. We found that this quasi-metallic regi me is not of the Luttinger Liquid type, as evidenced by strong deviations f rom predictions of conformal field theory and in agreement with the picture of a (very weakly pinned) Wigner crystal. When the strength of the Coulomb interaction is substantially increased. we observe a smooth cross-over to a strongly localized charge density wave.