Ground state energy, binding energy, and the impurity-specific heat of the Anderson-Holstein model

Abstract

A single-level Anderson-Holstein model is studied using the Lang-Firsov transformation followed by a zero-phonon averaging and a Green function method within the framework of a mean-field approximation. The ground state energy of the system, the binding energy between the impurity and conduction electrons, and the impurity-electron spectral function are calculated. The effect of the electron-phonon interaction on the local moment as well as on the specific heat of the impurity electron is explored in the anti-adiabatic regime.