Figure 5
Upper panel: Scaled density distance (\({\hat{D}}_{\rho }\)) as a function of the impurities’ strength V for chains of size d = 20, with 4 impurities symmetrically (at sites 9–12) and asymmetrically located (at sites 13–16), with n = 0.4, U = 4 and open boundary conditions. Lower panel: Scaled density distance (\({\hat{D}}_{\rho }\)) between i-LDA and exact system for chains with 6 impurities divided in blocks which were symmetrically distributed in the chain: a single block with 6 impurities (at sites 13–18), 2 blocks with 3 impurities each (at sites 9–11 and 20–22) and 3 blocks with 2 impurities each (at sites 7–8, 15–16, 23–24), all cases with n = 0.4, d = 30, U = 4 and open boundary conditions.
