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The exact ground-state exchange-correlation functional of Kohn-Sham densityfunctional theory yields the exact transmission through an Anderson junction atzero bias and temperature. The exact impurity charge susceptibility is used toconstruct the exact exchange-correlation potential. We analyze the successesand limitations of various types of approximations, including smooth anddiscontinuous functionals of the occupation, as well as symmetry-brokenapproaches.

Accuracy of density functionals for molecular electronics: the Anderson junction