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

被引：21

作者：

Ben Abdallah, N.

Mouis, M.

Negulescu, C.

机构：

[1] Univ Toulouse 3, CNRS, UMR 5640, F-31062 Toulouse, France

[2] UJF, INPG, CNRS, UMR,IMEP, F-38016 Grenoble, France

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2007年 / 225卷 / 01期

关键词：

Schrodinger-Poisson equation; open boundary conditions; Subband model; WKB approximation; confinement effects; quantum tunneling;

D O I：

10.1016/j.jcp.2006.11.028

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：74 / 99

页数：26

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