This paper presents theoretical models which consider various quantum processes of interactions between photons, carriers, and phonons in hot-carrier solar cells. Explicit formulas are developed to calculate carrier interband generation/recombination and intraband heating/cooling rates. The paper will focus particularly on energy relaxation issues regarding optical-phonon lifetime, nonequilibrium optical phonons, acoustic-phonon heat transport, and electron-hole energy transfer via intraband/interband electron-hole scattering and phonon sharing. It will discuss possible energy-selective contacts for facilitating hot-carrier extraction and preventing cool-carrier leakage. Their associated effects of extraction cooling and spectral-hole burning will also be investigated.
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