论文标题
Rydberg激子的古典和半经典描述
Classical and semiclassical description of Rydberg excitons in cuprous oxide
论文作者
论文摘要
对氧化乡土的激子对激子的实验和理论研究表明,由于价带结构的强烈影响,激子rydberg状态的精细结构分裂。我们通过研究氢样模型以外的激子电子孔对的经典动力学来提供对分裂的半经典解释。考虑到坐标空间中Rydberg激素的慢动作,与Quasispin和hole Spin的快速动力学相比,我们在动量空间中使用绝热方法和能量表面来计算激子动力学。我们观察到近乎整合的托里的准周期运动。半经典的圆环量化产生了$ n $ manifolds的精细结构分裂的能量区域,这与量子机械计算一致。
Experimental and theoretical investigations of excitons in cuprous oxide have revealed a significant fine-structure splitting of the excitonic Rydberg states caused by a strong impact of the valence band structure. We provide a semiclassical interpretation of that splitting by investigating the classical dynamics of the excitonic electron-hole pair beyond the hydrogen-like model. Considering the slow motion of Rydberg excitons in coordinate space compared to the fast dynamics of quasispin and hole spin we use an adiabatic approach and energy surfaces in momentum space for the computation of the exciton dynamics. We observe quasi-periodic motion on near-integrable tori. Semiclassical torus quantization yields the energy regions of the fine-structure splitting of $n$-manifolds in agreement with quantum mechanical computations.