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. © 2014 Elsevier B.V.