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.

arXiv comment5 pages, 4 figures

References in corpus (50)

• Many-Body Physics with Ultracold Gases
• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Spin-Imbalance in a One-Dimensional Fermi Gas
• Deterministic Preparation of a Tunable Few-Fermion System
• Wigner Crystal in One Dimension
• Confinement induced molecules in a 1D Fermi gas
• Fermionization of two distinguishable fermions
• Wigner Crystallization in mesoscopic 2D electron systems
• Crossover from Fermi liquid to Wigner molecule behavior in quantum dots
• Addition Spectra of Quantum Dots in Strong Magnetic Fields
• Full configuration interaction approach to the few-electron problem in artificial atoms
• An exactly solvable model of the BCS-BEC crossover
• Spin-charge separation in ultra-cold quantum gases
• On the formation of Wigner molecules in small quantum dots
• Coulombically Interacting Electrons in a One-dimensional Quantum Dot
• Dilute Fermi gas in quasi-one-dimensional traps: From weakly interacting fermions via hard core bosons to weakly interacting Bose gas
• Simple Analytical Particle and Kinetic Energy Densities for a Dilute Fermionic Gas in a d-Dimensional Harmonic Trap
• Interacting fermions in quasi-one-dimensional harmonic traps
• Bethe-Ansatz density-functional theory of ultracold repulsive fermions in one-dimensional optical lattices
• A molecular state of correlated electrons in a quantum dot
• Localization Transition in a Ballistic Quantum Wire
• Correlation Induced Inhomogeneity in Circular Quantum Dots
• Exact particle and kinetic energy densities for one-dimensional confined gases of non-interacting fermions
• Rotational and vibrational spectra of quantum rings
• Wigner crystal vs. Friedel oscillations in the 1D Hubbard model
• Tunneling theory of two interacting atoms in a trap
• Spatial ordering of charge and spin in quasi one-dimensional Wigner molecules
• Coulomb versus spin-orbit interaction in few-electron carbon-nanotube quantum dots
• Theory of momentum resolved tunneling into a short quantum wire
• Correlation effects in quasi one dimensional electron wires
• Transport properties of quantum dots in the Wigner molecule regime
• Correlated electrons in optically-tunable quantum dots: Building an electron dimer molecule
• Density-functional theory of strongly correlated Fermi gases in elongated harmonic traps
• Charge and spin dynamics of interacting Fermions in a one dimensional harmonic trap
• Few-electron physics in a nanotube quantum dot with spin-orbit coupling
• Wigner molecules in carbon-nanotube quantum dots
• Exchange interaction in quantum rings and wires in the Wigner-crystal limit
• Spectral function of few electrons in quantum wires and carbon nanotubes as a signature of Wigner localization
• Signatures of Wigner Localization in Epitaxially Grown Nanowires
• Density profile of a harmonically trapped ideal Fermi gas in arbitrary dimension
• Analytic theory of ground-state properties of a three-dimensional electron gas at varying spin polarization
• Wigner Crystallization in inhomogeneous one dimensional wires
• Raman signatures of classical and quantum phases in coupled dots: A theoretical prediction
• Electron and boson clusters in confined geometries: symmetry breaking in quantum dots and harmonic traps
• Density profile of interacting Fermions in a one-dimensional optical trap
• Order-disorder transition in nanoscopic semiconductor quantum rings
• Two-component Fermi gas in a one-dimensional harmonic trap
• Analytic theory of correlation energy and spin polarization in the 2D electron gas
• Ground-state densities and pair correlation functions in parabolic quantum dots
• Pair densities at contact in the quantum electron gas

Cited by in corpus (18)

• Crystallization of Levitons in the fractional quantum Hall regime
• Pairing of few Fermi atoms in one dimension
• Three interacting atoms in a one-dimensional trap: A benchmark system for computational approaches
• Pair tunneling of two atoms out of a trap
• Spin textures of strongly correlated spin Hall quantum dots
• One-dimensional few-electron effective Wigner crystal in quantum and classical regimes
• 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
• Fulde-Ferrell-Larkin-Ovchinnikov pairing states of a polarized dipolar Fermi gas trapped in a one-dimensional optical lattice
• Component separation of two-component fermion clouds in a spin-dependent external potential by spin-density-functional theory
• Many-Body Physics in Small Systems: Observing the Onset and Saturation of Correlation in Linear Atomic Chains
• Collective ground states in small lattices of coupled quantum dots
• 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
• Bose-like few-fermion systems
• Interaction and temperature effects on the pair correlation function of a strongly interacting 1D quantum dot
• Anomalous screening in narrow-gap carbon nanotubes