Unconventional Non-Fermi Liquid Properties of Two-Channel Anderson Impurities System

Abstract

A theory for treating the unconventional non-Fermi liquid temperature dependence of physical quantities, such as the resistivity, in the Pr-based two-channel Anderson impurities system is developed. It is shown that their temperature dependences are essentially the same as those in the pure lattice system except for the case of extremely low concentration of Pr ions that is difficult to realize by a controlled experiments. This result is consistent with recent observations in diluted Pr-1-2-20 system Y${}_{1-x}$Pr${}_x$Ir${}_2$Zn${}_{20}$ ($x=0.024,0.044,0.085,$ and $0.44$) reported in Yamane $etal$. Phys. Rev. Lett. $121$, 077206 (2018), and is quite different from that in the case of single-channel Anderson impurities system in which the crossover between behaviors of the local Fermi liquid and heavy Fermi liquid occurs at around moderate concentration of impurities as observed in Ce-based heavy fermion system La${}_{1-x}$Ce${}_x$Cu${}_6$.

32 pages, 8 figures

References in corpus (4)

• Quadrupole-Driven Non-Fermi Liquid and Magnetic-Field Induced Heavy Fermion States in a Non-Kramers Doublet System
• Evidence for the Single-Site Quadrupolar Kondo Effect in the Dilute non-Kramers System Y${}_{1-x}$Pr${}_x$Ir${}_2$Zn${}_{20}$
• Crystalline-Electric-Field Effect on the Resistivity of Ce-based Heavy Fermion Systems
• Theory for Non-Fermi Liquid Temperature Dependence in Resistivity of Ce_xLa_{1-x} Cu_{5.62} Au_{0.38} (x=0.02-0.10) on the Local Quantum Valence Criticality of Ce Impurities

Cited by in corpus (3)

• Origin of the non-Fermi-liquid behavior in CeRh2As2
• Non-Fermi liquid behavior and quantum criticality in cubic heavy fermion systems with non-Kramers multipolar local moments
• Elemental Dilution Effect on the Elastic Response due to a Quadrupolar Kondo Effect of the Non-Kramers System Y${}_{1-x}$Pr${}_x$Ir${}_2$Zn${}_{20}$