Electron capture in quantum wells via scattering by electrons, holes, and optical phonons

Abstract
Electron-capture times due to the electron-electron (ee), electron-hole (eh), and electron-polar optical phonon (e-pop) interactions are calculated in the GaAs quantum well (QW) with electron and hole densities 1011 cm2. The calculated capture times oscillate as a function of the QW width with the same period but with different amplitudes. The eh capture time is two to four orders larger and the ee capture time one to three orders larger than the e-pop capture time. The exceptions are the QW widths near resonance minima, where the ee capture time is only 2-3 times larger and the eh capture time 10-100 times larger. A different physical origin of the oscillatory behavior is demonstrated for the ee and e-pop capture times. Effects of exchange and degeneracy on the ee capture are analyzed. The exchange effect increases the ee capture time approximately two times while the degeneracy does not change the capture time except for the QW depths and widths near the resonance.