The One-Dimensional Periodic Anderson Model: A Mean Field Study

The ground-state properties of the symmetric Anderson lattice model in one dimension have been studied using a local mean-field decoupling approach and a renormalized perturbation expansion for the self-energy. The total energy, the local moment, the effective hybridization, the density of states, and the momentum distribution function have been calculated as a function of the Coulomb interaction U, the hybridization V, and the band filling. At half-filling, the mean-field results for the antiferromagntic state are in good agreement with those of quantum Monte Carlo simulations. At quarter filling and at relatively large U/2t values, the antiferromagnetic state is favored compared to the ferromagnetic state.