Abstract:
In this talk, the energy spectrum of the exciton in quantum wells (QWs) of arbitrary widths will be presented. The particular features of the quantization of the exciton energy in narrow and wide QWs will be highlighted. The presented results are obtained from the numerical solution of the three-dimensional Schroedinger equation for the exciton in the GaAs-based QW. The complex-scaling technique was additionally applied to properly identify the resonant states. The calculated bound and resonant states of electron-hole pairs are classified based on the types of their dominant in-plane and quantum-confinement one-dimensional functions of the wave function factorized form. A dependence of energy levels on a QW width as a parameter was thoroughly studied for widths up to 100 nm. This allowed us to observe a crossover of energy levels from the model of the 2D exciton in narrow QW to the quantization of the exciton as a whole in wide QW. The radiative decay rates for calculated s-like exciton states are also obtained. Calculated energy spectra were confronted with the experimental reflectance spectra measured for high-quality InGaAs/GaAs heterostructures with QWs. The ground and several excited states of the heavy-hole exciton in QW were identified in the experimental spectra. In the talk, the possible numerical ways to accurately investigate the Rydberg states of excitons in the cuprous oxide quantum wells will be discussed.
Meeting ID: 614 0177 0244
Passcode: 234420