Electronic transport properties of the single-impurity Anderson model

We investigate the electronic transport properties of thesingle-impurity Anderson model. By employing the cluster expansions,the equations of motion of Green's functions are transformed intothe corresponding equation of motion of connected Green's functions,which contains the correlation of two conduction electrons beyondthe Lacroix approximation. With the method we show that theasymmetric line shape of zero bias conductance manifests itself asthe Fano effect, and the Kondo effect is observed in the narrow peakof differential conductance curve of the system. The Fano and theKondo effects can coexist in the single-impurity Anderson model whenthe impurity level is adjusted to an appropriate position.