2. Semiconductor Equations

THE BASIC equations for device simulation can be obtained by different means. One way is to use MAXWELL's equations to derive POISSON's equation and the carrier continuity equations and introduce the current relations by a phenomenological approach. Another way to synthesize transport models is the systematic derivation starting from BOLTZMANN's transport equation. The moments method allows the derivation of a hierarchy of increasingly complex transport models including the well known drift-diffusion and energy transport models.


M. Gritsch: Numerical Modeling of Silicon-on-Insulator MOSFETs PDF