Mathematical Problems In Semiconductor Physics
by Angelo Marcello Anile /
2003 / English / PDF
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The increasing demand on ultra miniturized electronic devices for ever im-proving performances has led to the necessity of a deep and detailed under-standing of the mathematical theory of charge transport in semiconductors. Because of their very short dimensions of charge transport, these devices must be described in terms of the semiclassical Boltzmann equation coupled with the Poisson equation (or some phenomenological consequences of these equa-tions) because the standard approach, which is based on the celebrated drift-diffusion equations, leads to very inaccurate results whenever the dimensions of the devices approach the carrier mean free path.
