Phys. Rev. A 75, 015602 (2007) [3 pages]Emergence of Wigner molecules in one-dimensional systems of repulsive fermions under harmonic confinementReceived 28 July 2006; published 9 January 2007 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. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.75.015602
DOI:
10.1103/PhysRevA.75.015602
PACS:
03.75.Ss, 71.15.Mb, 71.10.Pm
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