Abstract
A hydrodynamical model for electron transport in silicon semiconductors, free of any fitting parameters, has been formulated in [1,2] on the basis of the maximum entropy principle, by considering the energy band described by the Kane dispersion relation and by including electron-non polar optical phonon and electron-acoustic phonon scattering.In [3] the validity of this model has been checked in the bulk case. Here the consistence is investigated by comparing with Monte Carlo data the results of the simulation of a submicron n+–n–n+ silicon diode for different length of the channel, bias voltage and doping profile.The results show that the model is sufficiently accurate for CAD purposes.
Highlights
A hydrodynamical model for electron transport in silicon semiconductors, free of any fitting parameters, has been formulated in [1,2] on the basis of the maximum entropy principle, by considering the energy band described by the Kane dispersion relation and by including electron-non polar optical phonon and electron-acoustic phonon scattering
Modeling modern submicron electron devices requires an accurate description of charge transport in order to cope with high-field phenomena that cannot be described satisfactorily within the framework of the drift-diffusion equations
We test the hydrodynamical model by simulating a n + n n + silicon diode, that models the channel of a MOSFET
Summary
A hydrodynamical model for electron transport in silicon semiconductors, free of any fitting parameters, has been formulated in [1,2] on the basis of the maximum entropy principle, by considering the energy band described by the Kane dispersion relation and by including electron-non polar optical phonon and electron-acoustic phonon scattering. Modeling modern submicron electron devices requires an accurate description of charge transport in order to cope with high-field phenomena that cannot be described satisfactorily within the framework of the drift-diffusion equations (which do not comprise energy as a dynamical variable and are valid only in the quasi-stationary limit).
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