Single-site Anderson Model. I Diagrammatic theory

Abstract

The diagrammatic theory is proposed for the strongly correlated impurity Anderson model. The strongly correlated impurity electrons are hybridized with free conduction electrons. For this system the new diagrammatic approach is formulated. The linked cluster theorem for vacuum diagrams is proved and the Dyson type equations for electron propagators of both electron subsystems are established, together with such equations for mixed propagators. The approximations based on the summing the infinite series of diagrams are proposed, which close the system of equations and permit the investigation of the system’s properties.