Abstract
The relaxation time approximation introduced in Chapter 7 enables us to linearize the Boltzmann transport equation in that the collision term is expressed in terms of the ratio of the perturbed distribution function (i.e., f - f 0) and the relaxation time. This approximation allows us to obtain analytical expressions for different transport coefficients in semiconductors. However, detailed physical insights concerning the collision term and the validity of the relaxation time approximation were not discussed in Chapter 7. In fact, the scattering mechanisms associated with the collision term in the Boltzmann equation are so complicated that we shall devote this entire chapter to deriving the relaxation time constants due to different scattering mechanisms in a semiconductor.
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