Abstract
We study the excitation dynamics of electron–hole pairs and LO-phonons in semiconductor two-band models. The inclusion of carrier–LO-phonon interaction is treated within the framework of generalized semiconductor Bloch equations and a diagrammatic language extended to include the dynamics of 1. phonon-assisted electron/hole scattering, 2. phonon density ∼ 〈 b†qbq〉, and 3. two-phonon coherence ∼ 〈b—qbiq, which is absent in the equilibrium state of the system. The equations of motion include Coulomb corrections, which go beyond the usual treatment of scattering contributions within a mean-field approximation of the non-equilibrium Greens function approach. For example, in the low-density excitation regime, these Coulomb corrections are crucial to the way excitons are formed in the presence of phonons.
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