Abstract
Applying the self-consistent Green's function method, we calculate and analyze the relaxation frequency ν of exciton in a quasi-two-dimensional quantum well of arbitrary depth. The exciton relaxation results from the electron and hole scattering by the randomly rough well interfaces. It is shown that the introduced here ν controls the behavior of the exciton absorptivity spectrum A( ω). We analyze the line-shape of the ground-state exciton resonance and reveal the criteria for the transition from asymmetric (sharp) to symmetric (broad) resonance. The dependencies of ν and A on the parameters of the exciton quantum well and its rough interfaces are found.
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