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In 1979, Jamison and Nurmikko reported that high infrared light intensities led to self-induced opacity in narrow-gap n-type semiconductors. They attributed the effect to an avalanche generation of excess carriers by hot, photoexcited conduction electrons and subsequent intervalence band absorption. Here the authors present a rate-equation model for the distribution of hot carriers in the case of InSb at 77K. In the non-parabolic conduction band they introduce single- and two-photon absorption as hot-carrier excitation processes, LO-phonon emission and impact ionisation as energy-loss mechanisms. The assumption of two-photon absorption is necessary for the establishment of a sufficient population above the threshold energy for impact ionisation. They estimate the two-photon absorption rate from a numerical simulation of Jamison and Nurmikko's experiment.
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Grave et al. (1983) studied this question.
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