the undepleted PAM, $\langle m^{2}_{f} \rangle$ (i.e. the local moment of the undeleted $f$-sites) is large, due to the suppression of the double occupancy $\langle
n_{\uparrow} n_{\downarrow} \rangle $ by $U_f \neq 0$. By contrast, the conduction electron moments $\langle m^{2}_{d_{0}} \rangle$ and $\langle
m^{2}_{d_{1}} \rangle$ are close to the half-filled non-interacting value $\langle m^2 \rangle = \langle n_{\uparrow} + n_{\downarrow} \rangle 
- 2\langle n_{\uparrow} n_{\downarrow} \rangle =\langle n_{\uparrow} +
  n_{\downarrow} \rangle 
- 2\langle n_{\uparrow} \rangle \, \langle n_{\downarrow} \rangle =1/2$. As $V$ increases, the hybridization between $d_{1}$ and $f$-sites leads to a reduction in $\langle m^{2}_{f} \rangle$. The local moment of the $d_{0}$-sites increases with $V/t$ much more than that of the $d_{1}$-sites, which remains roughly constant. This is somewhat surprising since $V$ connects $d_{1}$-sites directly to $f$-sites, but does not hybridize the $d_{0}$ sites at all, and, more importantly, $d$-sites have $U=0$. A similar behavior was recently observed[@Mondaini17] in the Hubbard model on a 2D superlattice with alternating rows of correlated and uncorrelated sites of different widths.

Further insight into the magnetic properties of the system can be gained by investigating non-local properties of the real space spin-spin correlation function, Eq.. We present, in Fig.\[Fig:Corr\_NN\], $C^{\alpha \gamma}(\mathbf{r})$ for 