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 quasiorder with increasing coupling strength and reproduces with high accuracy the exact solution that is available for the two-fermion system.
Emergence of Wigner molecules in one-dimensional systems of repulsive fermions under harmonic confinement
Polini M;
2007
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 quasiorder with increasing coupling strength and reproduces with high accuracy the exact solution that is available for the two-fermion system.File in questo prodotto:
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