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

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.

5 pages, 4 figures

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Cited by in corpus (7)

• Pairing of few Fermi atoms in one dimension
• Correlation functions for the detection of Wigner molecules in a one-channel Luttinger liquid quantum dot
• 2kF-Friedel to 4kF-Wigner oscillations in one-dimensional Fermi gases under confinement
• Fermionic versus bosonic behavior of confined Wigner molecules
• Wigner crystal versus Fermionization for one-dimensional Hubbard models with and without long-range interactions
• Interacting holes in a gated WSe${}_2$ quantum channel: valley correlations and zigzag Wigner crystal
• Anomalous screening in narrow-gap carbon nanotubes