A path integral approach to Anderson-Holstein model

Abstract

The Anderson-Holstein model is studied in the framework of the semiclassical approximation. Analytic results for Kondo temperature renormalized by weak electron-phonon interaction and for phonon Green function are obtained, and they are interpreted from the viewpoint of dynamical mean field theory. Especially the isotope effect of the effective electron mass is discussed in the presence of strong electron correlation. The results are also compared with those by numerical renormalization group and other related works, and they are consistent with each other in their common domain of validity.

RevTeX4 file. To appear in Physical Review B

References in corpus (6)

• On the Fermi Liquid to Polaron Crossover I: General Results
• Holstein model in infinite dimensions at half-filling
• Numerical renormalization group study of the symmetric Anderson-Holstein model: phonon and electron spectral functions
• Dynamical Mean-Field Theory of Electron-Phonon Interactions in Correlated Systems: Application to Isotope Effects on Electronic Properties
• Electron-Phonon Interactions in Correlated Systems: Adiabatic Expansion of the Dynamical Mean-Field Theory
• Electron Correlation and Jahn-Teller Interaction in Manganese Oxides

Cited by in corpus (8)

• Enhanced Kondo Effect in an Electron System Dynamically Coupled with Local Optical Phonon
• Spin-charge separation and simultaneous spin and charge Kondo effect
• Inverse Isotope Effect on Kondo Temperature in Electron-Rattling System
• Quantum phase transitions in a pseudogap Anderson-Holstein model
• Slave-boson approach to the infinite-U Anderson-Holstein impurity model
• Quantum phase transitions in a charge-coupled Bose-Fermi Anderson model
• Effects of electron-phonon coupling in the Kondo regime of a two-orbital molecule
• Interplay between local electron correlation and Janh-Teller electron-phonon interaction