Quasi One Dimensional Simulation of Heterojunction FET

The carrier dynamics in 2D gas of HEMT hetero-structure remained very complex until now because of the importance of quantum terms in addition to the usual classical terms. In quantum well structure, we need to resolve not only the Schrodinger and Poisson equations, but also the Boltzmann equation, in two separate steps. In our work, we present a quasi 1dimensional model, which is based on a numerical solution of the Boltzmann equation rewritten using the relaxation constants, the “conservation equations of energy and momentum”, which permits us to take into account stationary transport in addition to the Poisson and drift current equations [1]. We need so to solve the following system of equations: