Unscreened Coulomb repulsion in the one dimensional electron gas

Abstract

A tight binding model of electrons interacting via bare Coulomb repulsion is numerically investigated by use of the Density Matrix Renormalization Group method which we prove applicable also to very long range potentials. From the analysis of the elementary excitations, of the spin and charge correlation functions and of the momentum distribution, a picture consistent with the formation of a one dimensional "Wigner crystal" emerges, in quantitative agreement with a previous bosonization study. At finite doping, Umklapp scattering is shown to be ineffective in the presence of long range forces.

RevTex, 5 pages with 8 eps figures. To be published on Phys. Rev. B

References in corpus (2)

• The density matrix renormalization group method. Application to the PPP model of a cyclic polyene chain
• Insulator-Metal Transition in One Dimension Induced by Long-Range Electronic Interactions

Cited by in corpus (21)

• New Trends in Density Matrix Renormalization
• Long-range interacting quantum systems
• Ground state properties of the one dimensional Coulomb gas
• The Coulomb Luttinger liquid
• Investigation of Quantum Phase Transitions using Multi-target DMRG Methods
• Charge and spin order in one-dimensional electron systems with long-range Coulomb interactions
• Interaction-range effects for fermions in one dimension
• Wigner Crystallization in inhomogeneous one dimensional wires
• Mott-glass phase of a one-dimensional quantum fluid with long-range interactions
• Effects of energy extensivity on the quantum phases of long-range interacting systems
• Dependence of structure factor and correlation energy on the width of electron wires
• A study of cooperative breathing-mode in molecular chains
• Friedel oscillations in a Luttinger liquid with long-range interactions
• One-dimensional electron fluid at high density
• Ground states of long-range interacting fermions in one spatial dimension
• Pairwise entanglement and the Mott transition for correlated electrons in nanochains
• Wire width and density dependence of the crossover in the peak of the static structure factor from $2k_{\text{F}}$ $\to$ $4k_{\text{F}}$ in one-dimensional paramagnetic electron gases
• Coulomb Drag between One-Dimensional Wigner Crystal Rings
• RG study of a non local sine-Gordon model
• Effects of finite-range interactions on the one-electron spectral properties of TTF-TCNQ
• Second-order electronic correlation effects in a one-dimensional metal