2kF-Friedel to 4kF-Wigner oscillations in one-dimensional Fermi gases under confinement
arXiv:1212.6081 · doi:10.1103/PhysRevA.86.023616
Abstract
Density oscillations of confined one-dimensional Fermi gases of contact repulsive interactions in a continuous space are discussed within Bethe-ansatz-based spin-density-functional theory. The results are compared against the exact analytical and the exact diagonalization method. For an unpolarized system, the number of peaks in the density profiles is doubled, signaling the crossover of the 2k_F-Friedel to 4k_F-Wigner oscillations (with kF being the Fermi wave vector). For both unpolarized and polarized systems, a threshold of the short-range interaction strength can be found where Nf-peak Wigner oscillations of a 4k_F wave vector appear in the density profile (N_f is the total particle number).
7 pages, 7 figures
References in corpus (17)
- Local quantum criticality in confined fermions on optical lattices
- Exact solution for infinitely strongly interacting Fermi gases in tight waveguides
- Exact quantum Monte Carlo study of one dimensional trapped fermions with attractive contact interactions
- Quantum Monte Carlo study of confined fermions in one-dimensional optical lattices
- Density functional theory in one-dimension for contact-interacting fermions
- Coulomb versus spin-orbit interaction in few-electron carbon-nanotube quantum dots
- Super-Tonks-Girardeau regime in trapped one-dimensional dipolar gases
- Theory of momentum resolved tunneling into a short quantum wire
- Correlation effects in quasi one dimensional electron wires
- Numerical simulations of strongly correlated fermions confined in 1D optical lattices
- Emergence of Wigner molecules in one-dimensional systems of repulsive fermions under harmonic confinement
- Absence of Wigner molecules in one-dimensional few-fermion systems with short-range interactions
- Commensurability effects for fermionic atoms trapped in 1D optical lattices
- Correlation Effects on Atom Density Profiles of 1-D and 2-D Polarized Atomic-Fermi-Gas Loaded on Optical Lattice
- Friedel oscillations in one-dimensional metals: from Luttinger's theorem to the Luttinger liquid
- Magnetic phases of one-dimensional lattices with 2 to 4 fermions per site
- Magnetism of quantum dot clusters: A Hubbard model study