The Wigner localization of interacting electrons in a one-dimensional harmonic potential
Strongly Correlated Electrons
2022-11-23 v1
Abstract
approaches. We demonstrate that the Wigner regime can be reached using small values of the confinement parameter. To obtain physical insight in our results we analyze them with a semi-analytical model for two electrons. Thanks to electronic-structure properties such as the one-body density and the particle-hole entropy, we are able to define a path that connects the Wigner regime to the Fermi-gas regime by varying the confinement parameter. In particular, we show that the particle-hole entropy as a function of the confinement parameter smoothly connects the two regimes. Moreover, it exhibits a maximum that could be interpreted as the transition point between the localized and delocalized regimes.
Keywords
Cite
@article{arxiv.2207.12014,
title = {The Wigner localization of interacting electrons in a one-dimensional harmonic potential},
author = {Xabier Telleria-Allika and Miguel Escobar Azor and Grégoire François and Gian Luigi Bendazzoli and Jon M. Matxain and Xabier Lopez and Stefano Evangelisti and J. Arjan Berger},
journal= {arXiv preprint arXiv:2207.12014},
year = {2022}
}