A parallel deterministic solver for the Schrodinger-Poisson-Boltzmann system in ultra-short DG-MOSFETs: Comparison with Monte-Carlo

作者：Vecil Francesco^*; Mantas Jose M; Caceres Maria J; Sampedro Carlos; Godoy Andres; Gamiz Francisco

来源：Computers & Mathematics with Applications, 2014, 67(9): 1703-1721.

DOI：10.1016/j.camwa.2014.02.021

• Subband decomposition
• WENO schemes
• Quantum-classical dimensional coupling
• Schrodinger-Poisson system
• Parallelization of numerical algorithms

We present a parallel deterministic solver for the Boltzmann-Schrodinger-Poisson system for partially-confined DG-MOSFETs. Our 2D model uses a dimensional coupling: the electrons behave as particles along the longitudinal dimension, and as waves along the transverse dimension. In Ben Abdallah et al. (2009) the authors validated, in a simplified setting, the solver for the eigenproblems. In this paper we have focused on obtaining physically accurate results by introducing a realistic Si conduction band and electron-phonon interactions. We have switched from Cartesian to elliptic variables for the wave vector, and consequently radically rebuilt the time integrator. The code has been parallelized following a domain-decomposition approach. The results have been compared to those given by a Monte-Carlo solver.

• 出版日期2014-5