低维量子系统等离激元介电函数表象变换理论

doi:10.3969/j.cnki.jdxb.2017.02.004

吉首大学学报（自然科学版）

低维量子系统等离激元介电函数表象变换理论

杨哲,刘新海

（长沙理工大学物理与电子科学学院，湖南长沙 410114）

出版日期:2017-03-25 发布日期:2017-04-26

Representation Transform Theory of Dielectric Function on Plasmons inLow-Dimensional Quantum Systems

YANG Zhe,LIU Xinhai

(School of Physics and Electronic Science,Changsha University of Science and Technology,Changsha 410114,China)

Online:2017-03-25 Published:2017-04-26
About author:YANG Zhe(1982—),male,was born in Shaoyang City,Hunan Province,master of School of Physics and Electronic Science,Changsha University of Science and Technology;research area are nano structures and nano materials；LIU Xinhai(1974—),male,was born in Tai'an City,Shandong Province,associate professor of School of Physics and Electronic Science,Changsha University of Science and Technology,doctor;research area are nano structures,nano materials and molecular electronics.
Supported by:
National Science Foundation of Hunan Provience(14JJ7040)

摘要/Abstract

摘要：

推导低维量子系统中等离激元介电函数的矩阵表达式，建立了矩阵表达式、张量表达式和傅立叶表达式之间的变换关系.根据有限子带模型,在不同表象下计算量子阱结构和半导体超晶格中等离激元模式的色散关系,并通过数值计算证实了在这3种表象下等离激元介电函数表达式是彼此等价的.

关键词： 低维系统, 矩阵表达式, 等离激元, 介电函数

Abstract:

We derive matrix expression of the dielectric function of plasmons in low-dimensional quantum systems and establish the transform relations among the present matrix expression,the tensor expression,and Fourier expression.In the finite-subband model,we calculate the dispersion relations of plasmon modes in quantum well structures and semiconductor superlattices for different representations and we numerically confirm the equivalence of the expressions of dielectric function on plasmons in these three representations.

Key words: low-dimensional, matrix expression, plasmons；dielectric function

杨哲,刘新海. 低维量子系统等离激元介电函数表象变换理论[J]. 吉首大学学报（自然科学版）, DOI: 10.3969/j.cnki.jdxb.2017.02.004.

YANG Zhe,LIU Xinhai. Representation Transform Theory of Dielectric Function on Plasmons inLow-Dimensional Quantum Systems[J]. Journal of Jishou University（Natural Sciences Edition), DOI: 10.3969/j.cnki.jdxb.2017.02.004.

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低维量子系统等离激元介电函数表象变换理论

Representation Transform Theory of Dielectric Function on Plasmons inLow-Dimensional Quantum Systems

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