Scaling Between Periodic Anderson and Kondo Lattice Models

TL;DR

This paper demonstrates a strong correspondence between the Periodic Anderson Model and Kondo Lattice Model using advanced computational methods, enabling better understanding of heavy fermion systems and their experimental properties.

Contribution

It establishes a quantitative mapping between PAM and KLM across different parameters, including realistic heavy fermion materials, using CT-QMC and DMFT techniques.

Findings

Good PAM-KLM mapping at large U for various properties

Quasiparticle mass renormalization from KLM

Estimated Sommerfeld coefficient close to experimental data for CeRhIn5

Abstract

Continuous-Time Quantum Monte Carlo (CT-QMC) method combined with Dynamical Mean Field Theory (DMFT) 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 realsitic heavy fermion system CeRhIn5 in which the estimate of the Sommerfeld coefficient is proven to be close to the experimental value.