Local Heavy Quasiparticle in Four-Level Kondo Model

Abstract

An impurity four-level Kondo model, in which an ion is tunneling among 4-stable points and interacting with surrounding conduction electrons, is investigated using both perturbative and numerical renormalization group methods. The results of numerical renormalization group studies show that it is possible to construct the ground state wavefunction including the excited ion states if we take into account the interaction between the conduction electrons and the ion. The resultant effective mass of quasiparticles is moderately enhanced. This result offers a good explanation for the enhanced and magnetically robust Sommerfeld coefficient observed in SmOs${}_4$Sb${}_{12}$, some other filled-skutterudites, and clathrate compounds.

9 pages, 7 figures. Added references and "Note added"

References in corpus (13)

• Time-dependent Density-Matrix Renormalization-Group Methods
• Exotic Heavy-Fermion State in Filled Skutterudite SmOs4Sb12
• Quadrupolar effect and rattling motion in heavy fermion superconductor PrOs_4Sb_{12}
• Correlation Effects and Structural Dynamics in the $\beta$-Pyrochlore Superconductor KOs${}_2$O${}_6$
• Ferroquadrupole ordering and Gamma_5 rattling motion in clathrate compound Ce_3Pd_20Ge_6
• Tunneling and rattling in clathrate crystal
• Phonon softening and double-well potential formation due to electron-phonon interaction in heavy-fermion systems
• Kondo Temperature for the Two-Channel Kondo Models of Tunneling Centers
• Two-Channel Kondo Model as a Fixed Point of Local Electron-Phonon Coupling System
• Two-Channel Kondo Physics from Tunnelling Impurities with Triangular Symmetry
• Low energy properties of M-state tunneling systems in metals: New candidates for non-Fermi-liquid systems
• Orbital Kondo Effect in Ce${}_x$La${}_{1-x}$B${}_6$: Scaling Analysis
• Solution of effective Hamiltonian of impurity hopping between two sites in a metal

Cited by in corpus (33)

• Extremely strong-coupling superconductivity and anomalous lattice properties in the beta-pyrochlore oxide KOs2O6
• Rattling-Induced Superconductiviy in the Beta-Pyrochlore Oxides AOs2O6
• Strong Valence Fluctuation Effects in Sm$T{r}_2$Al${}_{20}$($Tr=$Ti, V, Cr)
• Low-Energy Optical Phonon Modes in the Caged Compound LaRu2Zn20
• Kondo Effect in an Electron System with Dynamical Jahn-Teller Impurity
• Effect of Rattling Phonons on Sommerfeld Constant
• Effects of Rattling Phonons on the Quasiparticle Excitation and Dynamics in the Superconducting $\beta$-Pyrochlore KOs${}_2$O${}_6$
• Low-lying excitations at the rare-earth site due to rattling motion in the filled skutterudite LaOs_4Sb_{12} revealed by ^{139}La NMR and ^{121/123}Sb NQR
• Enhanced Kondo Effect in an Electron System Dynamically Coupled with Local Optical Phonon
• Theory of Ultrasonic Dispersion in Local Phonon Systems Coupled with Conduction Electrons
• Inverse Isotope Effect on Kondo Temperature in Electron-Rattling System
• Realization of Strong Coupling Fixed Point in Multilevel Kondo Models
• Strong-Coupling Theory of Rattling-Induced Superconductivity
• Magnetic-Field-Independent Ultrasonic Dispersions in the Magnetically Robust Heavy Fermion System SmOs4Sb12
• Multipole Susceptibility of Multiorbital Anderson Model Coupled with Jahn-Teller Phonons
• Attractive Su-Schrieffer-Heeger-Hubbard Model on a Square Lattice Away from Half-Filling
• Kondo Effect of a Magnetic Ion Vibrating in a Harmonic Potential
• Cooperative Effect of Coulomb Interaction and Electron-Phonon Coupling on the Heavy Fermion State in the Two-Orbital Periodic Anderson Model
• Effect of Anharmonicity on the Kondo Phenomena of a Magnetic Ion Vibrating in a Confinement Potential
• Electron Mass Enhancement due to Anharmonic Local Phonons
• Bipolaron-SO(5) Non-Fermi Liquid in a Two-channel Anderson Model with Phonon-assisted Hybridizations
• Observation of Low-Energy Einstein Phonon and Superconductivity in Single-Crystalline LaBe${}_{13}$
• Fermi-surface topologies and low-temperature phases of the filled Skutterudite compounds CeOs${}_4$Sb${}_{12}$ and NdOs${}_4$Sb${}_{12}$
• Heavy-Electron Formation and Bipolaronic Transition in the Anharmonic Holstein Model
• Study of Localized Character of 4f Electrons and Ultrasonic Dispersions in SmOs4Sb12 by High-Pressure High-Frequency Ultrasonic Measurements
• Spin dynamics of S-state ions in the filled skutterudites La1-xRx$Pt4Ge12 (R= Gd, Eu)
• Electric Dipolar Susceptibility of the Anderson-Holstein Model
• Magnetic, Transport, and Phonon Properties of the Trivalent Eu Metallic Compound EuBe13
• Kondo Effect of a Jahn-Teller Ion Vibrating in a Cubic Anharmonic Potential
• Manifestations of fine features of the density of states in the transport properties of KOs2O6
• Chaos in Jahn-Teller Rattling
• Continuous-time Quantum Monte Carlo Approach for Impurity Anderson Models with Phonon-assisted Hybridizations
• Crystalline Electric Field and Kondo Effect in SmOs4Sb12