Wavefunctions and oscillator strengths of Rydberg excitons in cuprous oxide quantum wells

Abstract

We investigate the eigenstates, that is, the wavefunctions of Rydberg excitons in cuprous oxide quantum wells and derive expressions relating them to the oscillator strengths of different exciton states. Using the B-spline expansion, we compute the wavefunctions in coordinate space and estimate the oscillator strengths. The symmetry properties of the states and the non-separability of the wavefunctions are illustrated. Wavefunctions associated with resonances above the scattering threshold, in particular those of bound states in the continuum as well as their partner states, are also given.

13 pages, 9 figures, revised paper accepted for publication in Phys. Rev. B

References in corpus (9)

• Giant Rydberg Excitons in Cuprous Oxide
• Exciton-polaritons in cuprous oxide: Theory and comparison with experiment
• Energy states of Rydberg excitons in finite crystals: From weak to strong confinement
• Rydberg Magnetoexcitons in Cu${}_2$O Quantum Wells
• Interseries dipole transitions from yellow to green excitons in cuprous oxide
• Electro-optical properties of excitons in Cu${}_2$O quantum wells: I discrete states
• Resonance energies and linewidths of Rydberg excitons in Cu${}_2$O quantum wells
• Electro-optical properties of excitons in Cu${}_2$O quantum wells: II continuum states
• Bound states in the continuum in cuprous oxide quantum wells