COMPEL - The international journal for computation and mathematics in electrical and electronic engineering

Investigations of a new impact ionization model for submicron devices

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We discuss the device applications of a new impact ionization model. This model is based on a new formulation of the impact ionization rate for bulk semiconductors, derived from solvable high-field Boltzmann transport equations. The model inputs are relaxation times which simulate the dominant electron-phonon scatterings and are calibrated by realistic Monte Carlo simulations. Our impact ionization model is shown to be physically motivated and is easily implemented in the standard hydrodynamic device simulators II FIELDS and FIELDAY. An efficient numerical scheme is used to simulate three thin-base silicon bipolar transistors. Results based on this impact ionization model are found to agree well with the experimental multiplication factors over a large range of applied voltages. These results are contrasted with the more phenomenological treatment of Scholl and Quade which is shown to be a low-field limit of our model. © 1993, MCB UP Limited