CdMnTe is demonstrated to be a good candidate in the X-ray and γ-ray detector application, however, there are few reports on theoretical analysis of electron scattering rate in CdMnTe quantum well. Within the framework of effective mass approximation and envelope function approximation, the influence of the Mn alloy composition (xMn), the well width (Lw), the electron temperature (Te) and the electron density (Ne) on the electron–electron scattering rate (1/τ22−11) in the CdTe/Cd1−xMnxTe single quantum well (SQW), are simulated by shooting method and Fermi’s Golden Rule. The results show that 1/τ22−11 is significant inverse proportional to xMn, but positively proportional to Lw and Ne. Except for a small peak at 20 K, 1/τ22−11 is not sensitive to Te. The above differential dependency of 1/τ22−11 on xMn and Lw can be interpreted by sub-band separation (E21 = E2 − E1), which is proportional to xMn but inversely proportional to Lw. When E21 decreases gradually, the electron transition becomes easier, which leads to 1/τ22−11 increases. The dependency of 1/τ22−11 on Te can be interpreted by kinetic energy of electrons. The larger the electron kinetic energy is, the more difficult the electron transition from first excited state to ground state is, which leads to 1/τ22−11 decreasing. The dependency of 1/τ22−11 on Ne can be interpreted by the Coulomb interaction between electrons, i.e., the increase of electron collision probability caused by the increase of Ne.

中文翻译：

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CdTe/CdMnTe单量子阱中的电子-电子散射率

CdMnTe 被证明是 X 射线和γ射线探测器应用，然而，CdMnTe量子阱中电子散射率的理论分析报道很少。在有效质量近似和包络函数近似的框架内，Mn合金成分的影响（X锰), 井宽 (大号w), 电子温度 (吨e)和电子密度（ñe)关于电子 - 电子散射率（1 /τ22-11)在 CdTe/Cd1-X锰X单量子阱（SQW），采用射击法和费米黄金法则模拟。结果表明，1/τ22-11与显着成反比X锰, 但与大号w和ñe. 除了 20 K 的小峰外，1/τ22-11不敏感吨e. 上述1/的微分依赖τ22-11在X锰和大号w可以通过子带分离来解释（乙21 = 乙2 - 乙1)，与X锰但与大号w. 什么时候乙21逐渐减小，电子跃迁变得更容易，导致 1/τ22-11增加。1/的依赖性τ22-11在吨e可以用电子的动能来解释。电子动能越大，电子从第一激发态跃迁到基态越困难，导致1/τ22-11减少。1/的依赖性τ22-11在ñe可以用电子之间的库仑相互作用来解释，即电子碰撞概率的增加引起的ñe.