ACCURATE VARIATIONAL RESULTS FOR THE SYMMETRICAL PERIODIC ANDERSON MODEL IN ONE, 2, AND 3 DIMENSIONS

The ground-state energy, hybridization energy, momentum distributions, local magnetic moments, and magnetic phase diagram of the symmetric periodic Anderson model are calculated using a correlated wave function in d = 1, 2, and 3 dimensions. The wave function is obtained by applying a Gutzwiller projector on a recently proposed single-particle product state with spin-density wave order. Evaluations are performed with an approximate scheme that becomes exact in high dimensions. Comparison with Monte Carlo data by Blankenbecler et al. for d = 1 shows that the results are remarkably accurate for all values of the coupling. Hence the results for d = 2,3 can be expected to be even more accurate and may serve as benchmarks for future numerical work in d > 1.