Emergence of Wigner molecules in one-dimensional systems of repulsive fermions under harmonic confinement

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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3 pages, 2 figures, submitted

Scientific paper

10.1103/PhysRevA.75.015602

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.

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