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

TL;DR

This paper develops a theory explaining the non-Fermi liquid temperature dependence of physical properties in two-channel Anderson impurity systems, aligning with recent experimental observations in dilute Pr-based compounds.

Contribution

It introduces a theoretical framework for the unconventional non-Fermi liquid behavior in two-channel Anderson impurities, extending understanding beyond single-channel systems.

Findings

Temperature dependence matches that of pure lattice systems at finite impurity concentrations.

Results are consistent with recent experimental data on diluted Pr-1-2-20 systems.

Behavior differs from single-channel Anderson impurity systems, especially at moderate impurity concentrations.

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 $et\ al$. Phys. Rev. Lett. ${\bf 121}$, 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$_6$.