Quantum well field effect transistors have been proposed as promising device candidates for future high-speed and low-power logic applications due to their high electron mobility. This paper aims to study InAs and InGaAs state-of-the-art QWFETs, investigating both RF and DC performance through our full band Cellular Monte Carlo simulator, which includes the full details of the band structure and the phonon spectra. A complete characterization of these devices has been performed using experimental data to calibrate the simulation parameters.