Classical and semiclassical description of Rydberg excitons in cuprous oxide

• URL: http://arxiv.org/abs/2006.08955v1
• Date: Tue, 16 Jun 2020 07:15:29 GMT
• Title: Classical and semiclassical description of Rydberg excitons in cuprous oxide
• Authors: Jan Ertl, Patric Rommel, Michel Mom, J\"org Main, Manfred Bayer
• Abstract summary: We investigate the classical dynamics of the excitonic electron-hole pair beyond the hydrogen-like model. Semiclassical torus quantization yields the energy regions of the fine-structure splitting of $n$-manifolds in agreement with quantum mechanical computations.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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