Unscreened Coulomb repulsion in the one-dimensional electron gas

A tight-binding model of electrons interacting via bare Coulomb repulsion i s numerically investigated by use of the density-matrix renormalization gro up method which we prove applicable also to very long-range potentials. Fro m the analysis of the elementary excitations, of the spin and charge correl ation functions, and of the momentum distribution, a picture consistent wit h the formation of a one-dimensional "Wigner crystal" emerges, in quantitat ive agreement with a previous bosonization study. At finite doping, umklapp scattering is shown to be ineffective in the presence of long-range forces . [S0163-1829(99)07047-2].