Tunneling exponents in realistic quantum wires using the mean field approximation

TL;DR

This paper shows that the charge Tomonaga-Luttinger parameter in quantum wires can be accurately estimated using a self-consistent Hartree-Fock approximation, revealing how correlations vary with carrier density.

Contribution

It introduces a method to estimate the Tomonaga-Luttinger parameter in quantum wires using a self-consistent Hartree-Fock approach, highlighting the role of correlations.

Findings

Accurate estimation of $K_\rho$ using Hartree-Fock approximation.

Dependence of $K_\rho$ on carrier density reveals different correlation regimes.

Method distinguishes regimes of importance of electron correlations.

Abstract

It is demonstrated that the charge Tomonaga-Luttinger parameter $K_\rho$ of quantum wires can be estimated accurately using the Hartree-Fock approximation if carried out self consistently. The dependence of $K_\rho$ on the carrier density distinguishes different regimes of importance of correlations.