Fine structure of excitons in Cu${}_2$O

Abstract

Three experimental observations on 1s-excitons in Cu${}_2$O are not consistent with the picture of the exciton as a simple hydrogenic bound state: the energies of the 1s-excitons deviate from the Rydberg formula, the total exciton mass exceeds the sum of the electron and hole effective masses, and the triplet-state excitons lie above the singlet. Incorporating the band structure of the material, we calculate the corrections to this simple picture arising from the fact that the exciton Bohr radius is comparable to the lattice constant. By means of a self-consistent variational calculation of the total exciton mass as well as the ground-state energy of the singlet and the triplet-state excitons, we find excellent agreement with experiment.

Revised abstract; 10 pages, revtex, 3 figures available from G. Kavoulakis, Physics Department, University of Illinois, Urbana

References in corpus (2)

• Auger decay of degenerate and Bose-condensed excitons in Cu${}_2$O
• Quantum saturation and condensation of excitons in Cu${}_2$O: a theoretical study

Cited by in corpus (36)

• Electrical Control of Two-Dimensional Neutral and Charged Excitons in a Monolayer Semiconductor
• Giant Rydberg Excitons in Cuprous Oxide
• Bose-Einstein Condensation of Excitons in Cu${}_2$O: Progress Over Thirty Years
• Deviations of the exciton level spectrum in cuprous oxide from the hydrogen series
• Scaling laws of Rydberg excitons
• Study of ortho-to-paraexciton conversion in Cu${}_2$O by excitonic Lyman spectroscopy
• Impact of the valence band structure of Cu${}_2$O on excitonic spectra
• Probing Bose-Einstein Condensation of Excitons with Electromagnetic Radiation
• High resolution study of the yellow excitons in Cu${}_2$O subject to an electric field
• The even exciton series in Cu${}_2$O
• Magnetoexcitons in cuprous oxide
• Single-photon source based on Rydberg exciton blockade
• Optical Properties of Rydberg Excitons and Polaritons
• Linewidths in excitonic absorption spectra of cuprous oxide
• Auger decay, Spin-exchange, and their connection to Bose-Einstein condensation of excitons in Cu_2O
• Interaction of OAM light with Rydberg excitons: Modifying dipole selection rules
• Rydberg Excitons in Synthetic Cuprous Oxide (Cu${}_2$O)
• The Yellow Excitonic Series of Cu2O Revisited by Lyman Spectroscopy
• Microwave-optical coupling via Rydberg excitons in cuprous oxide
• GOE-GUE-Poisson transitions in the nearest neighbor spacing distribution of magnetoexcitons
• Exciton-polaritons in cuprous oxide: Theory and comparison with experiment
• Dynamics of incoherent exciton formation in Cu${}_2$O: Time- and angle-resolved photoemission spectroscopy
• Bose-Einstein condensation of excitons in Cu${}_2$O
• Interseries transitions between Rydberg excitons in Cu${}_2$O
• High resolution nanosecond spectroscopy of even-parity Rydberg excitons in Cu${}_2$O
• Magneto-Stark-effect of yellow excitons in cuprous oxide
• $K$ dependent exchange interaction of the $1S$ ortho exciton in Cu${}_2$O
• Exchange interaction in the yellow exciton series of cuprous oxide
• Temperature Study of Rydberg Exciton Optical Properties in Cu2O
• Bosons in a Lattice: Exciton-Phonon Condensate in Cu2O
• Exciton mass and exciton spectrum in the cuprous oxide
• Hybridized quadrupole-dipole exciton effects in $C{u}_{2}O$ - Organic Heterostructure
• Variational discrete variable representation for excitons on a lattice
• Interseries dipole transitions from yellow to green excitons in cuprous oxide
• Propagation of exciton pulses in semiconductors
• Gaussian-process-regression-based method for the localization of exceptional points in complex resonance spectra