Two impurities model of strongly correlated electron systems

Abstract

There are many systems with strongly correlated electrons where there is also a strong coupling to the lattice, manganites and fullerides. The strong electron-electron interactions can be described by Hubbard and Anderson models. The Holstein model has been used to examine electron-phonon interactions. The advances in the field of molecular electronics have revived the interest to the problem of electron-phonon interaction because electron-vibrational coupling within the molecule is important for understanding the properties of such devices. In this work, unlike the previous, wherein is used the single impurity Anderson-Holstein model we have developed a diagrammatic approach for the two impurities Anderson-Holstein model in the case of strong Coulomb intra-atomic interaction of impurity electrons and strong electron-phonon interaction of the impurity electrons with optical phonons.