一种碳纳米管场效应管半经典模型计算方法

计算物理 ›› 2012, Vol. 29 ›› Issue (4): 575-579.

一种碳纳米管场效应管半经典模型计算方法

赵晓辉¹, 蔡理¹, 张鹏²

1. 空军工程大学理学院, 陕西西安, 710051;
2. 空军工程大学工程学院, 陕西西安, 710038

收稿日期:2011-08-27 修回日期:2011-11-28 出版日期:2012-09-25 发布日期:2012-09-25
作者简介:晓辉(1984-),女,博士生,主要从事纳电子器件理论及应用研究,E-mail:prayerhui@gmail.com
基金资助:
陕西省自然科学基础研究计划重点项目(2011JZ015);陕西省电子信息系统综合集成重点实验室基金(201115Y15)资助项目

A Calculation Method for Semi-classical Model of Carbon Nanotube Field Effect Transistors

ZHAO Xiaohui¹, CAI Li¹, ZHANG Peng²

1. The Sciences Institute, AFEU, Xi'an 710051, China;
2. The Engineering Institute, AFEU, Xi'an 710038, China

Received:2011-08-27 Revised:2011-11-28 Online:2012-09-25 Published:2012-09-25

摘要/Abstract

摘要： 基于弹道输运的碳纳米管场效应管半经典模型求解自洽电势通常采用牛顿-拉夫逊迭代法,每次迭代都需要对态密度方程积分计算,运算量巨大.我们用支持向量回归机近似表达自洽电势与载流子密度之间的关系,不需要反复迭代积分,并用梯度下降法求解自洽电势.仿真结果表明,与牛顿-拉夫逊迭代法比较,该方法精度较高,有效降低了运算量,为今后大规模集成电路中碳纳米管器件的设计和应用奠定理论基础.

关键词: 碳纳米管场效应管, 牛顿-拉夫逊迭代法, 支持向量回归机

Abstract: Newton-Raphson iteration is used in semi-classical model of carbon nanotube field effect transistors(CNTFET) based on ballistic transport for self-consistent potential.In each iteration re-integration of state density is requred.Support vector regression (SVR) is applied for the relationship of self-consistent potential and carrier density.Numerical integrations are avoided.And gradient descent algorithm (GDA) is used to get self-consistent potential.It shows that compared with Newton-Raphson iteration,the proposed method reduces computation effectively while maintains high accuracy.It lays theoretical foundation for designing and applying CNTFET devices in large scale integrated circuits.

Key words: carbon nanotube field effect transistors(CNTFET), Newton-Raphson iterative, support vector regression(SVR)

中图分类号:

TP18
TP391.9

赵晓辉, 蔡理, 张鹏. 一种碳纳米管场效应管半经典模型计算方法[J]. 计算物理, 2012, 29(4): 575-579.

ZHAO Xiaohui, CAI Li, ZHANG Peng. A Calculation Method for Semi-classical Model of Carbon Nanotube Field Effect Transistors[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 29(4): 575-579.