Emergence of Wigner molecules in one-dimensional systems of repulsive fermions under harmonic confinement
arXiv:cond-mat/0611699 · doi:10.1103/PhysRevA.75.015602
Abstract
A Bethe-Ansatz spin-density functional approach is developed to evaluate the ground-state density profile in a system of repulsively interacting spin-1/2 fermions inside a quasi-one-dimensional harmonic well. The approach allows for the formation of antiferromagnetic quasi-order with increasing coupling strength and reproduces with high accuracy the exact solution that is available for the two-fermion system.
3 pages, 2 figures, submitted