Scaling between periodic Anderson and Kondo lattice models

Abstract

Continuous-time quantum Monte Carlo method combined with dynamical mean field theory is used to calculate both periodic Anderson model (PAM) and Kondo lattice model (KLM). Different parameter sets of both models are connected by the Schrieffer-Wolff transformation. For degeneracy $N=2$, a special particle-hole symmetric case of PAM at half filling which always fixes one electron per impurity site is compared with the results of the KLM. We find a good mapping between PAM and KLM in the limit of large on-site Hubbard interaction $U$ for different properties like self-energy, quasiparticle residue and susceptibility. This allows us to extract quasiparticle mass renormalizations for the $f$ electrons directly from KLM. The method is further applied to higher degenerate case and to realistic heavy fermion system CeRh${\text{In}}_{5}$ in which the estimate of the Sommerfeld coefficient is proven to be close to the experimental value.