An accelerated algorithm for 2D simulations of the quantum ballistic transport in nanoscale MOSFETs

Authors:
N. Ben Abdallah;M. Mouis;C. Negulescu
Affiliations:
Mathématiques pour l'Industrie et la Physique, UMR CNRS 5640, Université Paul Sabatier, 118 route de Narbonne, F-31062 Toulouse Cedex, France;IMEP (UMR CNRS/INPG/UJF), 23 rue des Martyrs, BP 257, F-38016 Grenoble Cedex, France;Mathématiques pour l'Industrie et la Physique, UMR CNRS 5640, Université Paul Sabatier, 118 route de Narbonne, F-31062 Toulouse Cedex, France
Venue:
Journal of Computational Physics
Year:
2007

Citing 6
Cited 6

On a one-dimensional Schro¨dinger-Poisson scattering model

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
A geometric optics method for high-frequency electromagnetic fields computations near fold caustics: part II. the energy

Journal of Computational and Applied Mathematics
Subband decomposition approach for the simulation of quantum electron transport in nanostructures

Journal of Computational Physics
Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice - III. From ab initio models to WKB for Schrödinger-Poisson

Journal of Computational Physics
Multiscale simulation of transport in an open quantum system: Resonances and WKB interpolation

Journal of Computational Physics
Numerical analysis of a multiscale finite element scheme for the resolution of the stationary Schrödinger equation

Numerische Mathematik

An accelerated monotone iterative method for the quantum-corrected energy transport model

Journal of Computational Physics
A fermi-statistics-based model for quantum semiconductor device simulations

ICCOMP'08 Proceedings of the 12th WSEAS international conference on Computers
The WKB Local Discontinuous Galerkin Method for the Simulation of Schrödinger Equation in a Resonant Tunneling Diode

Journal of Scientific Computing
Modeling and simulation of electronic structure, material interface and random doping in nano-electronic devices

Journal of Computational Physics
Self-consistent 3-D numerical modeling of a uniformly doped nanoscale FinFET using interpolating wavelets

Journal of Computational Electronics
WKB-Based Schemes for the Oscillatory 1D Schrödinger Equation in the Semiclassical Limit

SIAM Journal on Numerical Analysis

Quantified Score

Hi-index	31.46

Visualization

Abstract

An accelerated algorithm for the resolution of the coupled Schrodinger/Poisson system, with open boundary conditions, is presented. This method improves the sub-band decomposition method (SDM) introduced in [N. Ben Abdallah, E. Polizzi, Subband decomposition approach for the simulation of quantum electron transport in nanostructures, J. Comput. Phys. 202 (1) (2005) 150-180]. The principal feature of the here presented model consists in an inexpensive and fast resolution of the Schrodinger equation in the transport direction, due to the application of WKB techniques. Oscillating WKB basis elements are constructed and replace the piecewise polynomial interpolation functions used in SDM. This procedure is shown to reduce considerably the computational time, while keeping a good accuracy.