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A closed-form expression for the recombination function in steady-state illuminated hydrogenated amorphous silicon (a-Si: H) is given for the case that recombination occurs mainly via the dangling-bond states. Based on the three charge conditions (positive, neutral or negative) for the dangling bonds, the three corresponding occupation functions are derived; an expression for the recombination function R DB is thereby obtained. The latter differs considerably from the commonly used Shockley-Read and Hall function RSRH. As an illustration, the limiting carrier in an a-Si: H p-i-n solar cell under reverse voltage is shown to be either one with a longer drift length, using KSRH, or one with a shorter drift length, using R DB. Therefore one can conclude that the use of the proper recombination function is critical for a discussion of the relevant physical parameters involved in the description of p-i-n devices. Interpretation for ambipolar diffusion length and photoconductivity are also mentioned as cases where the use of the appropriate occupation and recombination functions are of decisive importance.
Hubin et al. (1992) studied this question.