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.