Classical and semiclassical description of Rydberg excitons in cuprous oxide

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.

arXiv comment5 pages, 3 figures

References in corpus (7)

• Giant Rydberg Excitons in Cuprous Oxide
• Observation of high angular momentum excitons in cuprous oxide
• Deviations of the exciton level spectrum in cuprous oxide from the hydrogen series
• Impact of the valence band structure of Cu${}_2$O on excitonic spectra
• The even exciton series in Cu${}_2$O
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Cited by in corpus (4)

• Signatures of exciton orbits in quantum mechanical recurrence spectra of Cu${}_2$O
• Classical dynamics and semiclassical analysis of excitons in cuprous oxide
• Rydberg excitons in cuprous oxide: A two-particle system with classical chaos
• Quantum defects of Rydberg excitons in cuprous oxide: A semiclassical spherical model