Auger recombination and impact ionization involving traps in semiconductors
Auger recombination and impact ionization involving traps in semiconductors
复制标题
涉及半导体陷阱的俄歇复合和碰撞电离
DOI：
--
复制
发表时间：
1964
期刊：
影响因子：
--
通讯作者：
P. Lal
中科院分区：
文献类型：
--
作者：
P. Landsberg;C. Rhys;P. Lal
用Bloch波函数和类氢波函数计算了一个定域三个带态的俄歇过程的复合率。必须考虑四个本质上不同的过程，这取决于有多少状态在导带中，有多少状态在价带中。此外，每个跃迁速率取决于跃迁所涉及的局域态的量子数（n，l）。这个问题在零级中解决，这在进行跃迁的电子的能量变化与kT相比大时是有效的。这种计算的有效性被认为是通过扩展的计算基态高阶。激发态的零阶结果和基态的高阶结果，以及详细考虑交换效应在不同点的文件，似乎是新的。基态的零级结果已经由以前的工作者获得。然而，这些结果必须加以修正，以确保一个自洽的理论。给出了由复合系数得到碰撞电离系数的公式。计算的复合系数以图形形式呈现，并且示出（i）在低温下随着电子被捕获到的激发态的量子数l的波动变化，（ii）随着供体的能级的预期变化，（iii）由于交换的影响可以忽略，（iv）高阶项可能是重要的。
Using Bloch and hydrogen-like wave functions calculations have been made of the recombination rates by Auger processes in which one localized and three band states are involved. Four essentially different processes have to be considered, depending on how many of the states are in the conduction band and how many are in the valence band. In addition, each transition rate depends on the quantum numbers (n, l) of the localized state involved in the transition. This problem is solved in zero-order which is valid when the energy change of an electron making a transition is large compared with kT. The validity of this calculation is considered by extending the calculations for the ground state to higher order. The zero-order results for the excited states and the higher order results for the ground states, as well as the detailed consideration of exchange effects at various points in the paper, appear to be new. Zero-order results for the ground state have been obtained by previous workers. These results however, must be amended to ensure a self-consistent theory. Formulae are given which enable impact ionization coefficients to be obtained from the recombination coefficients. The calculated recombination coefficients are presented in graphical form, and show (i) at low temperatures a fluctuating variation with the quantum number l of the excited state into which an electron is captured, (ii) an expected variation with the energy level of the donor, (iii) a negligible effect due to exchange, (iv) that the higher order terms can be important.