Field-Dependent Green Functions

As the device size shrinks, and the operating voltage is necessarily bounded from below, the electric fields inside the device must grow. In this chapter, we will address high-field transport phenomena in a systematic manner, and as a first step we study the general properties of free field-dependent Green functions which form the basic building blocks of the subsequent theory. In order to gain insight of how the general approach works, we next study a specific model of dynamical disorder, for which an analytic and exact theory can be developed. Finally, we give an extensive treatment of high-field transport in semiconductors, focusing in particular to the modifications one must make to the semiclassical Boltzmann equation.