Time-Resolved Mode Space based Quantum-Liouville type Equations applied onto DGFETs

The investigation of a time-resolved quantum transport analysis is a major issue for the future progress in engineering tailored nanoelectronic devices. In this contribution, the time dependence is addressed along with the single-time formulation of quantum mechanics based on the von-Neumann equation in center-mass coordinates. This equation is investigated utilizing a distinct set of basis functions leading to so-called Quantum-Liouville type equations, which are combined with the mode space approximation to investigate the time-resolved behavior of double gate field effect transistors including the self-consistent Hartree potential.