Two-channel Kondo Effect Emerging from Nd Ions

Abstract

We discuss Kondo phenomena in a seven-orbital impurity Anderson model hybridized with ${\Gamma }_8$ conduction electrons by employing a numerical renormalization group method. In particular, we focus on the case with three local $f$ electrons, corresponding to a Nd${}^{3+}$ ion. For realistic values of Coulomb interactions, spin-orbit coupling, cubic crystalline electric field potentials, and hybridization, we find a residual entropy of $0.5\log 2$, a characteristic of two-channel Kondo phenomena, for the wide range of parameters of the local ${\Gamma }_6$ ground state. This is considered to be the magnetic two-channel Kondo effect, consistent with the result from an extended $s$-$d$ model constructed on the basis of the $j$-$j$ coupling scheme. Finally, we briefly discuss candidates of Nd compounds to observe the two-channel Kondo effect.

4 pages, 5 figures

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Cited by in corpus (6)

• Kondo effect in the seven-orbital Anderson model hybridized with ${\Gamma }_8$ conduction electrons
• Inelastic neutron scattering study of crystalline electric field excitations in the caged compounds NdT2Zn20 (T = Co, Rh, and Ir)
• 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
• Paramagnetic electron-nuclear spin entanglement in HoCo2Zn20