Interaction and temperature effects on the pair correlation function of a strongly interacting 1D quantum dot

TL;DR

This paper analytically investigates how electron interactions and temperature influence the pair correlation function in a strongly interacting 1D quantum dot, revealing the emergence of Wigner molecule correlations and temperature effects on electronic correlations.

Contribution

It provides an analytical evaluation of the pair correlation function in a 1D quantum dot using the spin coherent Luttinger liquid model, highlighting temperature's role in correlation signatures.

Findings

Wigner molecule correlations develop with stronger interactions.

Temperature enhances visibility of correlation signatures.

Friedel contributions are suppressed at temperatures near spin excitation energy.

Abstract

The pair correlation function of a strongly interacting one-dimensional quantum dot is evaluated analytically within the framework of the spin coherent Luttinger liquid model. The influence of electron interactions and temperature on the competition between finite-size effects and electronic correlations is analyzed, also in the regime of large numbers of particles. The development of Wigner molecule correlations is observed as interactions get stronger. The visibility of such signatures is enhanced for temperatures comparable with the spin excitation energy of the system due to a suppression of the uncorrelated Friedel contribution to the pair correlation function.