Fundamental relation between local and effective transverse field dependent mobility for electrons in inversion channels

This paper describes a new modeling approach that relates the local mobility to the experimentally determined macroscopic or effective mobility as a function of the vertical electric field. Using the technique of integral representations it is possible to find a mathematical condition which any local mobility model has to fulfil to be in accordance with experiment. A local mobility model used in a 2D device simulator has to meet this requirement in order to achieve quantitative agreement between experimental and simulated data.