一维位势透射系数的计算与谐振隧穿现象的研究

计算物理 ›› 2000, Vol. 17 ›› Issue (6): 649-654.

一维位势透射系数的计算与谐振隧穿现象的研究

井孝功¹, 赵永芳², 吕天全¹, 郑以松¹, 李铁津³

1. 吉林大学物理系, 吉林长春 130023;
2. 吉林大学原子分子所, 吉林长春 130023;
3. 吉林大学化学系, 吉林长春 130023

收稿日期:1999-04-19 修回日期:1999-08-05 出版日期:2000-11-25 发布日期:2000-11-25
作者简介:井孝功(194l~),男,山东牟平,教授,主要从事量子点及核物理方面的研究.
基金资助:
国家自然科学基金资助项目

CALCULATION OF TRANSMISSION COEFFICIENTS FOR ONE-DIMENSIONAL POTENTIAL WITH ARBITRARY SHAPE AND STUDY OF RESONANCE TUNNELING PHENOMENA

JING Xiao-gong¹, ZHAO Yong-fang², LU Tian-quan¹, ZHENG Yi-song¹, Li Tie-jin³

1. Department of Physics, Jilin University, Changchun 130023, P R China;
2. Institute of Atom and Molecule, Jilin University, Changchun 130023, P R China;
3. Department of Chemistry, Jilin University, Changchun 130023, P R China

Received:1999-04-19 Revised:1999-08-05 Online:2000-11-25 Published:2000-11-25

摘要/Abstract

摘要： 使用具有不同有效质量的一维多阶梯势透射系数的递推计算公式,可以方便地计算任意形状的一维分区位势的透射系数。给出了几种位势的透射系数随入射粒子能量变化的曲线,研究了谐振隧穿现象。对半导体材料GaAlAs/GaAs/GaAlAs的谐振隧穿现象进行了较详细的讨论。计算结果表明,对于两对称方势垒夹一个任意形状势阱的位势,也可能存在谐振隧穿现象。

关键词: 一维位势, 透射系数, 谐振隧穿

Abstract: The transmission coefficient for one-dimensional potential with arbitrary shape is calculated using the recurrence formulae of one-dimensional multi-stepped potentials. Resonance tunneling phenomena are studied with the curves of transmission coefficients varying with the energy of incident particles. In particular, the resonance tunneling phenomena in the semiconductor material GaAlAs/GaAs/GaAlAs are discussed in detail. The calculated results show that the resonance tunneling phenomenon for the potential, which has an arbitrary shape well between double symmetric square barriers could also exist.

Key words: one-dimensional potential, transmission coefficient, resonance tunneling

中图分类号:

O4ll.9

井孝功, 赵永芳, 吕天全, 郑以松, 李铁津. 一维位势透射系数的计算与谐振隧穿现象的研究[J]. 计算物理, 2000, 17(6): 649-654.

JING Xiao-gong, ZHAO Yong-fang, LU Tian-quan, ZHENG Yi-song, Li Tie-jin. CALCULATION OF TRANSMISSION COEFFICIENTS FOR ONE-DIMENSIONAL POTENTIAL WITH ARBITRARY SHAPE AND STUDY OF RESONANCE TUNNELING PHENOMENA[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2000, 17(6): 649-654.

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