A Deterministic Solver to the Boltzmann-Poisson System Including Quantization Effects for Silicon-MOSFETs

Chapter · December 2007with5 Reads
DOI: 10.1007/978-3-540-71992-2_84
In book: Progress in Industrial Mathematics at ECMI 2006, pp.531-536


    We present a deterministic solver to the Boltzmann-Poisson system for simulating the electron transport in silicon MOSFETs.
    This system consists of the Boltzmann transport equations (BTEs) for free electrons and for the twodimensional electron gas
    (2DEG) formed at the Si/SiO2 interface. Moreover, the Poisson equation is coupled to the BTEs. Eigenenergies and wave functions
    of the 2DEG are dynamically calculated from the Schrödinger-Poisson system. Numerical studies prove the applicability and
    the efficiency of the proposed numerical technique for simulating ultrasmall semiconductor devices.