Charge-density-wave formation in the Edwards fermion-boson model at one-third band filling

Abstract

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 $K_{\rho }^{\mathrm{CDW}}=1/9$ in the infinitesimally doped three-period CDW, as predicted by the bosonization approach.

6 pages, 3 figures, contributions to SCES 2013

References in corpus (4)

• Tomonaga-Luttinger parameters for doped Mott insulators
• Boson-controlled quantum transport
• Quantum phase transition in a 1D transport model with boson affected hopping: Luttinger liquid versus charge-density-wave behavior
• Correlation-induced metal insulator transition in a two-channel fermion-boson model

Cited by in corpus (2)

• Unconventional superconductivity and interaction induced Fermi surface reconstruction in the two-dimensional Edwards model
• Charge-order melting in the one-dimensional Edwards model