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Figure 1

From: Testing density-functional approximations on a lattice and the applicability of the related Hohenberg-Kohn-like theorem

Figure 1

Upper panel: Scaled distances between i-LDA and exact system for density \(({\hat{D}}_{\rho })\), wave function \(({\hat{D}}_{\psi })\) and potential (\({\hat{D}}_{v}^{A}\) and \({\hat{D}}_{v}^{B}\)) as a function of the chain size. Intermediate panel: exact and LDA density profiles for d = 8 and N even. Lower panel: exact and LDA spin density components profiles for d = 6 and N odd. All cases have U = 4, N = d/2 and open boundary conditions.

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