Kondo effect in the seven-orbital Anderson model hybridized with ${\Gamma }_8$ conduction electrons

Abstract

We clarify the two-channel Kondo effect in the seven-orbital Anderson model hybridized with ${\Gamma }_8$ conduction electrons by employing a numerical renormalization group method.From the numerical analysis for the case with two local $f$ electrons, corresponding to Pr${}^{3+}$ or U${}^{4+}$ ion, we confirm that a residual entropy of $0.5\log 2$, a characteristic of two-channel Kondo phenomena,appears for the local ${\Gamma }_3$ non-Kramers doublet state. For further understanding on the ${\Gamma }_3$ state, the effective model is constructed on the basis of a $j$-$j$ coupling scheme. Then, we rediscover the two-channel $s$-$d$ model concerning quadrupole degrees of freedom. Finally, we briefly introduce our recent result on the two-channel Kondo effect for the case with three local $f$ electrons.

8 pages, 6 figures. To appear in Physica B (Proceedings for SCES2017)

References in corpus (3)

• Universal low-temperature crossover in two-channel Kondo models
• Influence of lattice structure on multipole interactions in ${\Gamma }_3$ non-Kramers doublet systems
• Two-channel Kondo Effect Emerging from Nd Ions

Cited by in corpus (4)

• Yu-Shiba-Rusinov states of single magnetic molecule in an $s-wave$ superconductor
• Quantum Critical Point between Two-Channel Kondo and Fermi-Liquid Phases
• Two-Channel Kondo Effect Emerging from Np and Pu Ions
• Microscopic Theory of ${\Gamma }_3$ Quadrupole Ordering in Pr Compounds on the Basis of a $j$-$j$ Coupling Scheme