Mj. Rozenberg, ZERO-TEMPERATURE MAGNETISM IN THE PERIODIC ANDERSON MODEL IN THE LIMIT OF LARGE DIMENSIONS, Physical review. B, Condensed matter, 52(10), 1995, pp. 7369-7377
We study the magnetism in the periodic Anderson model in the Limit of
large dimensions by mapping the lattice problem into an equivalent loc
al impurity self-consistent model. Through a recently introduced algor
ithm based on the exact diagonalization of an effective cluster Hamilt
onian, we obtain solutions with and without magnetic order in the half
-filled case. We find the exact antiferromagnetic-paramagnetic phase b
oundary which is shown to be of second-order and obeys V-2/U approxima
te to const. We calculate the local staggered moments and the density
of states to gain insights on the behavior of the antiferromagnetic st
ate as it evolves from an itinerant to a local-moment magnetic regime.