A discontinuous Galerkin solver for Boltzmann-Poisson systems in nano devices

摘要

In this paper, we present results of a discontinuous Galerkin (DG) scheme applied to deterministic computations of the transients for the Boltzmann-Poisson system describing electron transport in semiconductor devices. The collisional term models optical-phonon interactions which become dominant under strong energetic conditions corresponding to nano-scale active regions under applied bias. The proposed numerical technique is a finite element method using discontinuous piecewise polynomials as basis functions on unstructured meshes. It is applied to simulate hot electron transport in bulk silicon, in a silicon n~+- n-n~+ diode and in a double gated 12 nm MOSFET. Additionally, the obtained results are compared to those of a high order WEN0 scheme simulation and DSMC (Discrete Simulation Monte Carlo) solvers.