A deterministic solver for a hybrid quantum-classical transport model in nanoMOSFETs

N. Ben Abdallah, M. J. Cáceres, J. A. Carrillo, F. Vecil

Research output: Contribution to journalArticleResearchpeer-review

18 Citations (Scopus)

Abstract

We model a nanoMOSFET by a mesoscopic, time-dependent, coupled quantum-classical system based on a sub-band decomposition and a simple scattering operator. We first compute the sub-band decomposition and electrostatic force field described by a Schrödinger-Poisson coupled system solved by a Newton-Raphson iteration using the eigenvalue/eigenfunction decomposition. The transport in the classical direction for each sub-band modeled by semiclassical Boltzmann-type equations is solved by conservative semi-lagrangian characteristic-based methods. Numerical results are shown for both the thermodynamical equilibrium and time-dependent simulations in typical nowadays nanoMOSFETs. © 2009 Elsevier Inc. All rights reserved.
Original languageEnglish
Pages (from-to)6553-6571
JournalJournal of Computational Physics
Volume228
DOIs
Publication statusPublished - 20 Sep 2009

Keywords

  • PWENO interpolations
  • Quantum-classical dimensional coupling
  • Schrödinger-Poisson system
  • Semi-lagrangian methods
  • Sub-band decomposition

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