Impact of the valence band structure of Cu$_{2}$O on excitonic spectra
Impact of the valence band structure of Cu$_{2}$O on excitonic spectra
复制标题
Cu$_{2}$O价带结构对激子谱的影响
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
C. Uihlein
中科院分区：
文献类型：
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作者：
Frank Schweiner;J. Main;Matthias Feldmaier;G. Wunner;C. Uihlein
我们提出了一种计算所有具有复价带结构的直接半导体激子谱的方法。薛定谔方程用库仑-斯图尔米亚函数的完备基组求解。这种方法还允许计算振子强度。我们用这种方法研究了氧化亚铜的价带结构对黄色激子谱的影响。结果与[物理]中的结果不同。莱特牧师。第115,027402(2015年)]；讨论并解释了差异。第二个和第三个Luttinger参数之间的差异可以通过与实验的比较来确定，然而，评估所有三个Luttinger参数并不是唯一可能的。我们的结果与能带结构计算是一致的。同时考虑到质心的有限动量K，我们证明了对于$1s$激子态[Phys]，观察到大的依赖于$K的线分裂。莱特牧师。91,107401(2003年)]与交换作用无关，而是与{Cu2}O}$的复杂价带结构有关。
We present a method to calculate the exciton spectra of all direct semiconductors with a complex valence band structure. The Schr\"odinger equation is solved using a complete basis set with Coulomb Sturmian functions. This method also allows for the computation of oscillator strengths. Here we apply this method to investigate the impact of the valence band structure of cuprous oxide $\left(\mathrm{Cu_{2}O}\right)$ on the yellow exciton spectrum. Results differ from those in [Phys. Rev. Lett. 115, 027402 (2015)]; the differences are discussed and explained. The difference between the second and third Luttinger parameter can be determined by comparisons with experiments, however, the evaluation of all three Luttinger parameters is not uniquely possible. Our results are consistent with band structure calculations. Considering also a finite momentum $\hbar K$ of the center of mass, we show that the large $K$-dependent line splitting observed for the $1S$ exciton state [Phys. Rev. Lett. 91, 107401 (2003)] is not related to an exchange interaction but rather to the complex valence band structure of $\mathrm{Cu_{2}O}$.