Physical origin of negative differential resistance in SOI transistors

From a two-dimensional solution of Laplace's equation it is shown that a significant increase in temperature occurs in the channel of SOI transistors due to the relatively poor thermal conductivity of the buried insulator. Based on this simulation an equation is derived which predicts that at small channel lengths the pinchoff point is shifted, an effect which is consistent with experimental observations. In addition, the positive 'kink' is reduced with the negative differential resistance, can be explained by a temperature increase in the channel.<>