Universal scaling in the Knight shift anomaly of doped periodic Anderson model

Abstract

We report a Dynamical Cluster Approximation (DCA) investigation of the doped periodic Anderson model (PAM) to explain the universal scaling in the Knight shift anomaly predicted by the phenomenological two-fluid model and confirmed in many heavy-fermion compounds. We calculate the quantitative evolution of the orbital-dependent magnetic susceptibility and reproduce correctly the two-fluid prediction in a large range of doping and hybridization. Our results confirm the presence of a temperature/energy scale $T^{\ast }$ for the universal scaling and show distinctive behavors of the Knight shift anomaly in response to other "orders" at low temperatures. However, comparison with the temperature evolution of the calculated resistivity and quasiparticle spectral peak indicates a different characteristic temperature from $T^{\ast }$, in contradiction with the experimental observation in CeCoIn${}_5$ and other compounds. This reveals a missing piece in the current model calculations in explaining the two-fluid phenomenology.

6 pages, 6 figures

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• Determinant Quantum Monte Carlo Study of Exhaustion in the Periodic Anderson Model
• Development of long-range phase coherence on the Kondo lattice
• A Simple Solvable Model for Heavy Fermion Superconductivity from the Two-Fluid Normal State
• An emerging global picture of heavy fermion physics
• Tunable magnetism of a hexagonal Anderson droplet on the triangular lattice