Ground-state properties of the one dimensional electron liquid

Abstract

We present a theory of the pair distribution function $g(z)$ and many-body effective electron-electron interaction for one dimensional (1D) electron liquid. Our approach involves the solution of a zero-energy scattering Schrödinger equation for $\sqrt{g(z)}$ where we implemented the Fermi hypernetted-chain approximation including the elementary diagrams corrections. We present numerical results for $g(z)$ and the static structure factor $S(k)$ and obtain good agreement with data from diffusion Monte Carlo studies of the 1D system. We calculate the correlation energy and charge excitation spectrum over an extensive range of electron density. Furthermore, we obtain the static correlations in good qualitative agreement with those calculated for the Luttinger liquid model with long-range interactions.

19 Pages

References in corpus (7)

• One-Dimensional Fermi liquids
• Wigner Crystal in One Dimension
• Spin-charge separation and localization in one-dimension
• Ground state properties of the one dimensional Coulomb gas
• The Coulomb Luttinger liquid
• Analytic theory of ground-state properties of a three-dimensional electron gas at varying spin polarization
• Analytic theory of correlation energy and spin polarization in the 2D electron gas

Cited by in corpus (3)

• Ground state properties of the one-dimensional electron liquid
• Comparative study of screened inter-layer interactions in the Coulomb drag effect in bilayer electron systems
• Rectification by charging -- the physics of contact-induced current asymmetry in molecular conductors