Slave-boson approach to the infinite-U Anderson-Holstein impurity model

Abstract

The infinite-$U$ Anderson-Holstein impurity model is studied with a focus on the interplay between the strong electron correlation and the weak electron-phonon interaction. The slave boson method has been employed in combination with the large degeneracy expansion (1/N) technique. The charge and spin susceptibilities and the phonon propagator are obtained in the approximation scheme where the saddle point configuration and the Gaussian 1/N fluctuations are taken into account. The spin susceptibility is found not to be renormalized by electron-phonon interaction, while the charge susceptibility is renormalized. From the renormalized charge susceptibility the Kondo temperature is found to increase by the electron-phonon interaction. It turns out that the bosonic 1/N Gaussian fluctuations play a very crucial role, in particular, for the phonon propagator.

arXiv comment12pages, 3 figures. Published in Physical Review B

References in corpus (4)

• Gap formation and soft phonon mode in the Holstein model
• Holstein model in infinite dimensions at half-filling
• Numerical renormalization group study of the symmetric Anderson-Holstein model: phonon and electron spectral functions
• A path integral approach to Anderson-Holstein model

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• Quantum phase transitions in a pseudogap Anderson-Holstein model
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• 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
• Stochastic Schrödinger equation approach to real-time dynamics of Anderson-Holstein impurities: an open quantum system perspective