Absence of Wigner molecules in one-dimensional few-fermion systems with short-range interactions
Strongly Correlated Electrons
2012-08-28 v1
Abstract
We study by means of exact-diagonalization techniques the ground state of a few-fermion system with strong short-range repulsive interactions trapped by a harmonic potential in one spatial dimension. Even when the ground-state density profile displays at strong coupling very well pronounced Friedel oscillations with a `4k_F periodicity', the pair correlation function does not show any signature of Wigner-molecule-type correlations. For the sake of comparison, we present also numerical results for few-electron systems with Coulomb interactions, demonstrating that their ground state at strong coupling is, on the contrary, a Wigner molecule.
Keywords
Cite
@article{arxiv.1202.3284,
title = {Absence of Wigner molecules in one-dimensional few-fermion systems with short-range interactions},
author = {Jing-Jing Wang and Wei Li and Shu Chen and Gao Xianlong and Massimo Rontani and Marco Polini},
journal= {arXiv preprint arXiv:1202.3284},
year = {2012}
}
Comments
5 pages, 4 figures