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We study the magnetism in the periodic Anderson model in the limit of largedimensions by mapping the lattice problem into an equivalent local impurityself-consistent model. Through a recently introduced algorithm based on theexact diagonalization of an effective cluster hamiltonian, we obtain solutionswith and without magnetic order in the half-filled case. We find the exactAFM-PM phase boundary which is shown to be of $2^{nd}$ order and obeys$\frac{V^2}{U} \approx const.$ We calculate the local staggered moments and thedensity of states to gain insights on the behavior of the AFM state as itevolves from itinerant to a local-moment magnetic regimeComment: 9 pages + 9 figures, to appear in Phys. Rev. B, 1 Sept. 1995 issu

Zero-temperature magnetism in the periodic Anderson model in the limit of large dimensions