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Missing derivative discontinuity of the exchange-correlation energy for attractive interactions: The charge Kondo effect

Missing derivative discontinuity of the exchange-correlation energy for attractive interactions: The charge Kondo effect

We show that the energy functional of ensemble density functional theory (DFT) [Perdew et al., Phys. Rev. Lett. 49, 1691 (1982)] in systems with attractive interactions is a convex function of the fractional particle number $N$ and is given by a series of straight lines joining a subset of ground-state …