A two-dimensional (2D) model of an MOS transistor based on a complete set of steady-state transport equations is described. The model proposed enables a detailed analysis of punch-through in short-channel MOS transistors. By means of numerical solution of this model, the potential and carrier concentration distributions as well as current density distributions in the gate region are determined. It is shown that punch-through in MOS transistors does not take place at the silicon surface but in the bulk and the current densities along individual layers parallel to the SiSiO2 interface are not constant. This nature of punch-through is caused by the “surface accumulation wedge” which exist between the drain and source depletion region under the gate. The influence of the design parameters and supply voltages on the location and dimensions of the “accumulation wedge” is demonstrated. [Russian Text Ignored].
Read full abstract