Effects of impurity scattering on spectral properties of a two-dimensional electron gas are investigated within the Born approximation. In particular, the zero-temperature momentum distribution function is obtained and compared with the corresponding function at finite temperature without scattering. This enables one to conclude that impurity scattering can be as important as finite temperature in modifying electronic spectral properties. The importance of the dimension in such a calculation is pointed out, and the relevance of these results for silicon inversion layers is discussed.
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Sarma et al. (1981) studied this question.
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