Rydberg excitons in electric and magnetic fields obtained with the complex-coordinate-rotation method

Abstract

The complete theoretical description of experimentally observed magnetoexcitons in cuprous oxide has been achieved by F. Schweiner et al [Phys. Rev. B 95, 035202 (2017)], using a complete basis set and taking into account the valence band structure and the cubic symmetry of the solid. Here, we extend these calculations by investigating numerically the autoionising resonances of cuprous oxide in electric fields and in parallel electric and magnetic fields oriented in [001] direction. To this aim we apply the complex-coordinate-rotation method. Complex resonance energies are computed by solving a non-Hermitian generalised eigenvalue problem, and absorption spectra are simulated by using relative oscillator strengths. The method allows us to investigate the influence of different electric and magnetic field strengths on the position, the lifetime, and the shape of resonances.

9 pages, 6 figures, submitted to J. Phys. B

References in corpus (8)

• Giant Rydberg Excitons in Cuprous Oxide
• Exceptional Points in Atomic Spectra
• Observation of high angular momentum excitons in cuprous oxide
• Coulomb-Sturmian basis for the nuclear many-body problem
• High resolution study of the yellow excitons in Cu${}_2$O subject to an electric field
• Exceptional points in the spectra of atoms in external fields
• Magnetoexcitons in cuprous oxide
• Exciton-polaritons in cuprous oxide: Theory and comparison with experiment

Cited by in corpus (4)

• Green exciton series in cuprous oxide
• Interseries dipole transitions from yellow to green excitons in cuprous oxide
• Resonance energies and linewidths of Rydberg excitons in Cu${}_2$O quantum wells
• Gaussian-process-regression-based method for the localization of exceptional points in complex resonance spectra