Transmission matrix approach for electron transport in inversion layers

Abstract

An efficient “transmission matrix” (TM) approach is proposed for including quantization effects in the treatment of electron transport in inversion layers. For each input mode of the momentum space, the probabilities of the output modes and average times are computed and used to follow the electron motion in time. The TM approach makes it possible to treat electron transport with improved numerical efficiency while maintaining the accuracy of the Monte Carlo (MC) approach. Examples with a constant electric field are considered to demonstrate the TM approach and it is shown that the results obtained by the TM and MC techniques are in excellent agreement with each other. The TM approach reduces the computation time by a factor of 6 or more. Integration of the TM approach in device analysis is discussed.