Studying the Periodic Anderson Model using Functional Renormalization group

The Periodic Anderson model(PAM) has been used to explain the physics of heavy fermion systems and describes localized impurity electrons with an on-site Coulomb repulsion interacting with delocalized conduction electrons via a hybridization term. Quantum critical points have been reported in the literature for heavy fermion systems with various hybridizations in place. In particular,in 2D systems, for local hybridization, the results show transition from an antiferromagnet to a Kondo insulator as a function of the hybridization (using the dynamic vertex approximation). We explore this transition for non-local hybridization treating the action for the system via the fRG(functional Renormalization Group). Doping the antiferromagnetic part of the phase diagram on small 2×2×2 clusters has also been shown previously to produce strong d_x^2-y^2 superconducting correlations at lower temperatures. Taking this a step further, we study the impact of doping the conduction and impurity electrons on superconducting response in the system for large clusters, also using fRG. Finally, we also look at multiband systems with various degrees of interband hopping.