Signatures of Exciton Orbits in Quantum Mechanical Recurrence Spectra ofCu2O,Physical Review Letters

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Signatures of Exciton Orbits in Quantum Mechanical Recurrence Spectra ofCu2O
Physical Review Letters ( IF 8.1 ) Pub Date : 2022-08-02 , DOI: 10.1103/physrevlett.129.067401
Jan Ertl _{1,

2} , Michael Marquardt ₁ , Moritz Schumacher ₁ , Patric Rommel ₁ , Jörg Main ₁ , Manfred Bayer ₂

Affiliation

The seminal work by Kazimierczuk et al. [Nature 514, 343 (2014)] has shown the existence of highly excited exciton states in a regime, where the correspondence principle is applicable and quantum mechanics turns into classical mechanics; however, any interpretation of exciton spectra based on a classical approach to excitons is still missing. Here, we close this gap by computing and comparing quantum mechanical and semiclassical recurrence spectra of cuprous oxide. We show that the quantum mechanical recurrence spectra exhibit peaks, which, by application of semiclassical theories and a scaling transformation, can be directly related to classical periodic exciton orbits. The application of semiclassical theories to exciton physics requires the detailed analysis of the classical exciton dynamics, including three-dimensional orbits, which strongly deviate from hydrogenlike Keplerian orbits. Our findings illuminate important aspects of excitons in semiconductors by directly relating the quantum mechanical band structure splittings of excitons to the corresponding classical exciton dynamics.

中文翻译：

Cu2O的量子力学再现光谱中激子轨道的特征

Kazimierczuk等人的开创性工作。[自然 514, 343 (2014)] 已经表明在一个区域中存在高度激发的激子态，其中对应原理适用并且量子力学变成经典力学；然而，仍然缺少任何基于经典激子方法的激子光谱解释。在这里，我们通过计算和比较氧化亚铜的量子力学和半经典递归光谱来缩小这一差距。我们表明，量子力学递归谱表现出峰值，通过应用半经典理论和比例变换，可以直接与经典周期激子轨道相关。半经典理论在激子物理学中的应用需要对经典激子动力学进行详细分析，包括三维轨道，它强烈偏离类氢的开普勒轨道。我们的研究结果通过将激子的量子力学能带结构分裂与相应的经典激子动力学直接联系起来，阐明了半导体中激子的重要方面。

更新日期：2022-08-02

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