(color online) Different physical quantities as a function of E_f at filling n=1.917 and V=0.9. Contributions of the conduction c orbitals and localized f orbitals to (a) the magnetic moment and (c) number of electrons. The black solid line with solid (hollow) circles is the contribution from the f orbital (c orbital) when the cluster size is 1 × 2, and the red (purple) symbols are the contribution from the f orbitals (c orbitals) when the cluster size is 2 × 2. (b) Correlation function between two neighboring f orbitals, C ff ( r = 1 ) . (d) The on-site f and c orbitals correlation, C fd ( r = 0 ) . Cluster size 1 × 2 results are labeled by the black solid line with hollow circles, and the 2 × 2 results are labeled by the red symbols.