Effect of external magnetic field on the bound state between the localized and conduction electrons in Anderson–Holstein model

Abstract

A single-level Anderson–Holstein model is investigated in the presence of a magnetic field. Employing a Lang–Firsov transformation followed by a zero-phonon averaging, an effective Anderson model is obtained, which is then solved by using the Kikuchi–Morita Cluster variation (CV) method as adopted by Bose and Tanaka in the case of Anderson model. The effect of electron–phonon interaction on the binding energy between a magnetic impurity electron and the conduction electrons and on the local magnetic moment are investigated at zero temperature in the presence of an external magnetic field.