Computational Electronics on GRID: A Mixed Mode Carrier Transport Model

The nano-era of semiconductor electronics introduces the necessity of simulation methods which describe the electron transport in ultra-small devices in a mixed mode where quantumcoherent processes are considered along with the de-coherence processes of scattering. The latter can be conveniently described in the Wigner picture of quantum mechanics, however the coherent counterpart gives rise to heavy numerical problems. We propose a scheme which combines the advantages of the Wigner function with the Green’s function picture which is numerically efficient in coherent cases. An equation accounting for the scattering corrections to the coherent Wigner function is derived theoretically and a Monte Carlo algorithm for calculating these corrections is developed and implemented. The implementation is deployed on the SEE-GRID to facilitate the swift acquisition of results. Simulation results are presented as a final point.