Ground-state energy of the electron liquid in ultrathin wires

TL;DR

This paper calculates the ground-state energy and density correlations of electrons in ultrathin one-dimensional wires using an approximate mapping to solvable models, achieving high accuracy especially for very thin wires.

Contribution

It introduces an approximate mapping method to compute electron properties in ultrathin wires, providing accurate results across a range of wire radii.

Findings

Accurate ground-state energy calculations for ultrathin wires.

Effective density correlation function computations.

Method remains accurate for modest wire thicknesses.

Abstract

The ground-state energy and the density correlation function of the electron liquid in a thin one-dimensional wire are computed. The calculation is based on an approximate mapping of the problem with a realistic Coulomb interaction law onto exactly solvable models of mathematical physics. This approach becomes asymptotically exact in the limit of small wire radius but remains numerically accurate even for modestly thin wires.