Realization of Heavy Local Fermi Liquid and Non-Fermi Liquid in f${}^2$ Crystalline-Electric-Field Singlet-Triplet Configuration

Abstract

Using the numerical renormalization group method, we investigate an extended Anderson model, in which correlated electrons with the ${\Gamma }_1$(singlet)-$\Gamma 4$(triplet) f${}^2$ crystalline-electric-field (CEF) configuration hybridize with conduction electrons of ${\Gamma }_7$(doublet) and ${\Gamma }_8$ (quartet) under cubic $O_h$ symmetry, from a strong spin-orbit interaction limit. For the case of the parameters relevant to PrFe4P12, the system is under competition between the CEF singlet fixed point and the multichannel Kondo non-Fermi liquid fixed point arising from the quadrupolar coupling between the impurity with pseudospin 1 and the conduction electron with pseudospin 3/2 . We consider that this result reveals the origin of the heaviness of the effective mass and non-Fermi liquid behavior of the Pr- based filled skutterudite compounds.

9 pages, 5 figures

References in corpus (4)

• Time-Reversal Symmetry-Breaking Superconductivity in Heavy Fermion PrOs4Sb12 detected by Muon Spin Relaxation
• The Crystal Field Potential of PrOs4Sb12: Consequences for Superconductivity
• Theory of Crystalline Electric Field and Kondo Effect in Pr Skutterudites
• Non-Fermi Liquid Behavior of U-impurity with $f^2$-Singlet Ground State

Cited by in corpus (13)

• The numerical renormalization group method for quantum impurity systems
• Single-Site Non-Fermi Liquid Behaviors in a Diluted 4$f^2$ System Y${}_{1-x}$Pr${}_x$Ir${}_2$Zn${}_{20}$
• Two-channel Kondo Effect Emerging from Nd Ions
• Magnetically Robust Non-Fermi Liquid Behavior in Heavy Fermion Systems with f^2-Configuration: Competition between Crystalline-Electric-Field and Kondo-Yosida Singlets
• Electronic Order with Staggered Kondo and Crystalline Electric Field Singlets
• Magnetic Field Effect on Crossover Temperature from Non-Fermi Liquid to Fermi Liquid Behavior in f^2-Impurity Systems with Crystalline-Electric-Field Singlet State Competing with Kondo-Yosida Singlet State
• Competing Kondo Effects in Non-Kramers Doublet Systems
• Microscopic Mechanism for Staggered Scalar Order in PrFe4P12
• Electronic Orders Induced by Kondo Effect in Non-Kramers f-Electron Systems
• Continuous-Time Quantum Monte Carlo Approach to Singlet-Triplet Kondo Systems
• Anomalous Local Fermi Liquid in $f^2$-Singlet Configuration: Impurity Model for Heavy-Electron System UPt_3
• Quantum Critical Point between Two-Channel Kondo and Fermi-Liquid Phases
• Slave Boson Analysis on $f^2$-Configuration System with ${\Gamma }_1$ Singlet Crystalline-Electric-Field Ground State in Cubic Symmetry