Green exciton series in cuprous oxide

Abstract

We numerically investigate the odd parity states of the green exciton series in cuprous oxide. Taking into account the coupling to the yellow series and especially to the yellow continuum, the green excitons are quasi-bound resonances with a finite lifetime which cannot be described with Hermitian operators. To calculate their positions and linewidths, we use the method of complex-coordinate rotation, leading to a non-Hermitian complex eigenvalue problem. We find that the behavior of the dominant P states is very well approximated by a modified Rydberg formula using a negative quantum defect. The corresponding linewidths induced by the coupling to the yellow continuum decrease with the third power of the principal quantum number.

arXiv comment8 pages, 4 figures including Supplemental Material

References in corpus (10)

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Cited by in corpus (12)

• Giant Rydberg excitons in Cu${}_2$O probed by photoluminescence excitation spectroscopy
• Temperature Study of Rydberg Exciton Optical Properties in Cu2O
• Energy states of Rydberg excitons in finite crystals: From weak to strong confinement
• Classical and semiclassical description of Rydberg excitons in cuprous oxide
• Interseries dipole transitions from yellow to green excitons in cuprous oxide
• Signatures of exciton orbits in quantum mechanical recurrence spectra of Cu${}_2$O
• Resonance energies and linewidths of Rydberg excitons in Cu${}_2$O quantum wells
• Classical dynamics and semiclassical analysis of excitons in cuprous oxide
• Gaussian-process-regression-based method for the localization of exceptional points in complex resonance spectra
• Rydberg excitons in cuprous oxide: A two-particle system with classical chaos
• Linewidths and energy shifts of the electron-impurity resonant states in quantum wells with infinite barriers
• Quantum defects of Rydberg excitons in cuprous oxide: A semiclassical spherical model