DMRG study of the periodic Anderson model

We study the ground state of the one-dimensional symmetric periodic Anderson model for various band fillings, $n$, and for several values of the on-site repulsion $U$, and of the hybridization $V$ between the $c$- and $f$-bands. Through the Density Matrix Renormalization Group (DMRG) method, we calculate magnetic correlation functions, and their structure factors, charge and pairing correlations, as well as inter-orbital correlations, such as $\langle c^\dagger f + h.c. \rangle $, $\langle {\bf S}^c\cdot {\bf S}^f\rangle $; we also obtain charge and spin gaps. The analysis of these quantities allows a thorough characterization of the system, which can be summarized in a phase diagram in the parameter space $(U,V,n)$.