  We examine the ground-state properties of the one-dimensional Edwards
spinless fermion transport model by means of large-scale density-matrix
renormalization-group calculations. Determining the single-particle gap and the
Tomonaga-Luttinger liquid parameter ($K_\rho$) at zero temperature, we prove
the existence of a metal-to-insulator quantum phase transition at one-third
band filling. The insulator---established by strong correlation in the
background medium---typifies a charge density wave (CDW) that is commensurate
with the band filling. $K_\rho=2/9$ is very small at the quantum critical
point, and becomes $K_\rho^{\rm CDW}=1/9$ in the infinitesimally doped
three-period CDW, as predicted by the bosonization approach.
