We explored the interesting many body physics of the Anderson Model as it relates to localization of spins describing heavy femion systems. The theoretically simulated results obtained in this study agreed qualitatively with the theoretical results of Tahvildar-Zadeh et al (2008) where the largest positive eigenvalue does not approach unity for any value of the coulomb repulsion U studied. As t→∞, a smooth transition in the system from AFM to FM was obsereved. When the values of the on-site hybridization element, V is increased, the gap observedbetween the singlet and the triplet state energy was a constant hybridization gap or semiconducting gap ∆ (i.e. ∆ ~ 0.29eV). The emergence of hybridization gap seems to be consistent with theoretical expectation as indicated by Callaway et al (1993). This suggests that the same site spin correlations between C and f electrons are in both cases strongly antiferromagnetic.

Singlet state, Anderson model, hybridization gap, ground state