Saint-Petersburg State University of Information Technologies, Mechanics and Optics, 49 Kronverksky Avenue, 197101 St. Petersburg, Russia.
J Chem Phys. 2010 Sep 14;133(10):104704. doi: 10.1063/1.3477766.
We present a theoretical description of the first-order scattering of interacting electrons and holes in a double quantum dot. Assuming infinitely high walls, strong confinement, and a two-band approximation, we derive general expressions for the two-particle matrix elements of the screened Coulomb potential. We also determine the selection rules for different scattering channels and consider special cases where the corresponding matrix elements can be represented by simple analytical expressions. Numerical calculations of the matrix elements and an analysis of their dependence on the geometrical and material parameters of the double quantum dot have also been performed.
我们提出了一个在双量子点中相互作用的电子和空穴的一级散射的理论描述。假设存在无限高的势垒、强限制和双带近似，我们推导出了屏蔽库仑势的两粒子矩阵元的一般表达式。我们还确定了不同散射通道的选择规则，并考虑了相应矩阵元可以用简单解析表达式表示的特殊情况。我们还对矩阵元进行了数值计算，并分析了它们对双量子点的几何和材料参数的依赖关系。
