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We use the exact strong-interaction limit of the Hohenberg-Kohn energydensity functional to construct an approximation for the exchange-correlationterm of the Kohn-Sham approach. The resulting exchange-correlation potential isable to capture the features of the strongly-correlated regime without breakingthe spin or any other symmetry. In particular, it shows "bumps" (or barriers)that give rise to charge localization at low densities and that are awell-known key feature of the exact Kohn-Sham potential for strongly-correlatedsystems. Here we illustrate this approach for the study of both weakly andstrongly correlated model quantum wires, comparing our results with thoseobtained with the configuration interaction method and with the usual Kohn-Shamlocal density approximation.

Kohn-Sham density functional theory for quantum wires in arbitrary correlation regimes