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.

arXiv comment9 pages, 6 figures, submitted to J. Phys. B

References in corpus (16)

• Giant Rydberg Excitons in Cuprous Oxide
• Exceptional Points in Atomic Spectra
• Observation of high angular momentum excitons in cuprous oxide
• Deviations of the exciton level spectrum in cuprous oxide from the hydrogen series
• Coulomb-Sturmian basis for the nuclear many-body problem
• Impact of the valence band structure of Cu${}_2$O on excitonic spectra
• High resolution study of the yellow excitons in Cu${}_2$O subject to an electric field
• The even exciton series in Cu${}_2$O
• Exceptional points in the spectra of atoms in external fields
• Interaction of Rydberg Excitons in Cuprous Oxide with Phonons and Photons: Optical Linewidth and Polariton Effect
• Magnetoexcitons in cuprous oxide
• Linewidths in excitonic absorption spectra of cuprous oxide
• Rydberg systems in parallel electric and magnetic fields: an improved method for finding exceptional points
• Exciton-polaritons in cuprous oxide: Theory and comparison with experiment
• Interseries transitions between Rydberg excitons in Cu${}_2$O
• Magneto-Stark-effect of yellow excitons in cuprous oxide

Cited by in corpus (7)

• Interaction of charged impurities and Rydberg excitons in cuprous oxide
• Green exciton series in cuprous oxide
• Electro-optical properties of excitons in Cu${}_2$O quantum wells: I discrete states
• 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
• Linewidths and energy shifts of the electron-impurity resonant states in quantum wells with infinite barriers