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 (Kρ) 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. Kρ=2/9 is very small at the quantum critical point, and becomes KρCDW=1/9 in the infinitesimally doped three-period CDW, as predicted by the bosonization approach.
@article{arxiv.1309.6873,
title = {Charge-density-wave formation in the Edwards fermion-boson model at one-third band filling},
author = {Satoshi Ejima and Holger Fehske},
journal= {arXiv preprint arXiv:1309.6873},
year = {2014}
}