Application Of Correlation Of Dynamics In Mesoscopic Transport

In this thesis, the charge conductance and the shot noise in an Aharonov-Bohm Interferometer with double quantum dots embedded are studied in the framework of the nonequilibrium Green's functions. From the impurity Anderson model Hamiltonian, the equations of motion of Green's functions are derived and solved including the effects of two body correlations under the Lacroix's approximation. Our results show that the conductance, the shot noise, and the Fano factor as functions of the magnetic flux oscillate with a correct period of h/e, and their oscillation behaviors are in agreement with the experimental data within one order of magnitude. We have also found that the Fano factor is insensitive to both the tunneling J and the capacitive coupling U₁₂ between the two DQDs, while the shot noise and the conductance are sensitive to them.The thesis is organized as follows. In Chap. I, we introduce the concepts and the calculational method of the nonequilibrium Green's functions. In Chap. II, we introduce the correlation dynamics, The expansion of the many-body correlation Green's functions and the truncations in common are described in this chapter. In Chap. III, we introduce the basic concept of mesoscopic physics. In Chap. IV, we describe the transport characteristics of an Aharonov-Bohm Interferometer with Double Quantum Dots Embedded.