Shot noise in a mesoscopic interferometer

The charge conductance and the shot noise in an Aharonov-Bohm interferometer with double quantum dots embedded and coupled to each other by a capacity are studied in the framework of the equation of motion of Green's function. From the impurity Anderson model Hamiltonian, the equations of motion of nonequilibrium Green functions are derived and solved including the effects of two body correlations under Lacroix's approximation. Our results show that the conductance, the shot noise, and the Fano factor (the ratio of the shot noise to the Poisson noise) as functions of the magnetic flux oscillate with the period of h/e, and their oscillation behaviour is similar to the results of the experiment replacing the capacitive coupling by tunnelling between the two dots. The experiment is suggested to test the results.