Effect of Rattling Phonons on Sommerfeld Constant

Abstract

By employing a numerical renormalization group technique, we evaluate electronic specific heat coefficient $\gamma$ of the Anderson model coupled with local anharmonic phonons for the oscillation of a caged atom. For the rattling-type cage potential with a flat and wide region in the bottom, we find that phonon-mediated attraction is largely enhanced. When the potential shape is deformed from the rattling type, there occurs a cancellation between Coulomb repulsion and the phonon-mediated attraction. In such a situation, spin and charge fluctuations are comparable to each other, leading to the realization of exotic electron-phonon complex state with large and magnetically robust $\gamma$.

4 pages, 3 figures, to appear in J. Phys. Soc. Jpn

References in corpus (12)

• Exotic Heavy-Fermion State in Filled Skutterudite SmOs4Sb12
• Time-dependent Density-Matrix Renormalization-Group Methods
• NMR relaxation and resistivity from rattling phonons in pyrochlore superconductors
• Local Heavy Quasiparticle in Four-Level Kondo Model
• First- and Second Order Phase Transitions in the Holstein-Hubbard Model
• Phonon softening and double-well potential formation due to electron-phonon interaction in heavy-fermion systems
• NMR Observation of Rattling Phonons in the Pyrochlore Superconductor KOs2O6
• Quasi-Kondo Phenomenon due to Dynamical Jahn-Teller Effect
• Kondo Effect in an Electron System with Dynamical Jahn-Teller Impurity
• Enhanced Kondo Effect in an Electron System Dynamically Coupled with Local Optical Phonon
• Realization of Strong Coupling Fixed Point in Multilevel Kondo Models
• Multipole Susceptibility of Multiorbital Anderson Model Coupled with Jahn-Teller Phonons

Cited by in corpus (15)

• Inverse Isotope Effect on Kondo Temperature in Electron-Rattling System
• Strong-Coupling Theory of Rattling-Induced Superconductivity
• 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
• Effect of Anharmonicity on the Kondo Phenomena of a Magnetic Ion Vibrating in a Confinement Potential
• Electric Dipolar Kondo Effect Emerging from Vibrating Magnetic Ion
• Bipolaron-SO(5) Non-Fermi Liquid in a Two-channel Anderson Model with Phonon-assisted Hybridizations
• Electron Mass Enhancement due to Anharmonic Local Phonons
• Heavy-Electron Formation and Bipolaronic Transition in the Anharmonic Holstein Model
• Electric Dipolar Susceptibility of the Anderson-Holstein Model
• Eu2+ spin dynamics in the filled skutterudites EuM4Sb12 (M = Fe, Ru, Os)
• Kondo Effect of a Jahn-Teller Ion Vibrating in a Cubic Anharmonic Potential
• Chaos in Jahn-Teller Rattling
• Continuous-time Quantum Monte Carlo Approach for Impurity Anderson Models with Phonon-assisted Hybridizations
• Anomalous Isotope Effect in Rattling-Induced Superconductor