Simplified periodic anderson model : exact solution in infinite dimensions

Abstract

We present a diagrammatic perturbative treatment of the hybridization for the periodic Anderson model that recovers the dynamical mean-field equations in the limit of infinite dimensions. The resulting effective singlesite problem is naturally addressed by perturbation theory on the dynamical mean field. We introduce a simplified version of the model in which only electrons with a given spin orientation hybridize. The perturbation series can be summed in this case, yielding an exact solution for the single-particle Green’s functions. Electronic and transport properties are analyzed, showing the existence of a metallic regime with non-Fermiliquid behavior.