One-dimensional Strongly Correlated System Of Two-electron Tunneling

As the development of the technology of the semiconductor, the devices of the semi-conductor reduce to nanometer. According the Quantum Mechanics, When the scale become nanometer, the characteristic of the material will be different. The quantum effect will become more and more important. The quantum devices can work at a low en-ergy, and its performance can be greatly improved, which is why physicists are interested in it.The developments of semiconductor devices tell us that if we want to design the excellent device, we need the help of the numerical simulation. Now, the transmission of the single particle is well known, and physicists have developed a lot of theories to calculate the transmission of the single particle, such as S-Matrix, Green's function and the theory of mode match, which is well done in the area of the single particle. But for the double electrons in the strong relation area, the phenomenon model is the only way. But, because of its inherent defects, it can not get the transmission accurately for the Ma.ny-elect.ron systemIn our paper, we found a microscopic model to solve the double electrons problem based on the theory of the mode match. We consider the double electron transmission in the one dimension system as the single electron transmission in the two dimensions system. Them we add the special boundary conditions and the symmetry conditions into the microcosmic mode. At last, we can get the transmission of the resonance tunneling and cotunneling. Compare with the result of single electron, we found if the hole energy of the hole system is equal to the energy of the two electrons'eigenstate, there will be a resonance peak. We also get the transmission of the cotunneling. In the Coulomb blockade region, the resonance transport is Inhibited, and the cotunneling become more and more important. We study two kinds of cotunneling. One is the elastic cotunneling, another is the inelastic cotunneling. It Meet with the phenomenon model very well. And we also get the relationship between the transmission of cotunneling and several structural parameters, such as the height of the quantum well, the width of the quantum and so on.