In this ppaer, temeprature dependent transport and heat transport models have been incorperated to the two dimensional device simulator SNU-2D provides a solid bse for nonisothermal device simulation. As an example to study the nonisothermal problem. we consider SOI MOSFET's I-V characteristics have been simulated and compared with the measurements. It is shown that negative slopes in the Ids-Vds characteristics are casused by the temperature dependence of the saturation velocity and the degradation of the temperature dependence mobility. Also it is shown that the kink effect occurs when impact ionization near the drain produces a buildup of holes in this isolated device island, and the hysteresis is caused by the creation of holes in the channel and their flow to the source.
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