Absence of Wigner molecules in one-dimensional few-fermion systems with short-range interactions

Jingjing Wang, Wei Li, Shu Chen, Gao Xianlong, Massimo Rontani, Marco Polini

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 Wigner oscillations with a $4{k}_{\mathrm{F}}$ 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.

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• arXiv (Cornell University) - View - PDF
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• Physical Review B - View