Two-dimensional Coupled Quantum Dot Electronic States

In the recent years, the low-dimensional systems are focused on in the condensed-matter physics. A device, which is based on the quantum wires or quantum dots, shows more advantages, such as efficiency, fast response, low-energy consumption, and high working voltage, all of this we haven't found in the traditional devices. To bring these advantages into practices, a growing number scientific researchers devote to these researches.In this thesis, the two-dimensional system of coupling quantum dots is description by tight-binding mode,and the green function is derived in an analytic form, and the energy is caculated. We obtained the solutions:1. As the energy,in the problem, is much smaller than the charateristic hopping energies, the tight-binding mode can be regarded as the approach to single electrons.2. The results of the calculation show that the energy is discrete under a cosine-shaped band.3.When the grid of spacing is enough smaller,we can get a continuum limit.