Hartree–Fock Problem of an Electron-Hole Pair in the Quantum Well GaN
DOI:
https://doi.org/10.15407/ujpe58.01.0056Keywords:
Hartree–Fock approximation, electron-hole pair, wurtzite quantum well, Coulomb effects, lasersAbstract
We present microscopic calculations of the absorption spectra for GaN=AlxGa1 xN quantum well systems. Whereas the quantum well structures with the parabolic law of dispersion exhibit the usual bleaching of an exciton resonance without shifting a spectral position, the significant red-shift of an exciton peak is found with increasing the electron-hole gas density for a wurtzite quantum well. The energy of the exciton resonance for a wurtzite quantum well is found. The obtained results can be explained by the influence of the valence band structure on quantum confinement effects. The optical gain spectrum in the Hartree–Fock approximation and the Sommerfeld enhancement are calculated. A red shift of the gain spectrum in the Hartree–Fock approximation with respect to the Hartree gain spectrum is found.
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