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We study the Anderson lattice model with one f-orbital per lattice site asthe simplest model which describes generic features of heavy fermion materials.The resistivity and magnetic susceptibility results obtained within dynamicalmean field theory (DMFT) for a nearly half-filled conduction band show theexistence of a single energy scale $T^*$ which is similar to the single ionKondo temperature $T_K^o$. To determine the importance of inter-sitecorrelations, we have also solved the model within cellular DMFT (CDMFT) withtwo sites in a unit cell. The antiferromagnetic region on the phase diagram ismuch narrower than in the single-site solution, having a smaller criticalhybridization $V_c$ and N\'eel temperature $T_N$. At temperatures above $T_N$the nonlocal correlations are small, and the DMFT paramagnetic solution is inthis case practically exact, which justifies the ab initio LDA+DMFT approach intheoretical studies of heavy fermions. Strong inter-site correlations in theCDMFT solution for $T<T_N$, however, indicate that they have to be properlytreated in order to unravel the physical properties near the quantum criticalpoint.

Phase diagram, energy scales and nonlocal correlations in the Anderson lattice model