Homogeneous linewidth of optical transitions and multiple electron–LO–phonon scattering in quantum dots

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The main electronic spectral density peaks of the optical lines in semiconductor quantum dots are shown to depend on the energy variable as 1/ (E) . It is shown that the experimental data of the measurements of the lineshape and the linewidth should be expected to be limited considerably by the spectral resolution of the experimental apparatus. The optical lineshape of the optical lines active in the luminescent transitions are calculated numerically together with the dependence of the linewidth on temperature and the size of the quantum dot. The electronic relaxation time, dependent on the overlap of two electronic spectral densities, is shown to be in the range of about 100 fs to 1 ps. The theory is based on the electron multiple scattering on optical phonons and on multiphonon states of the electron–LO–phonon system of quantum dots. The electronic self-energy is calculated in the self-consistent Born approximation.