单层原子的厚度对等离激元色散关系的修正

doi:10.3969/j.issn.1007-5461.2022.04.008

量子电子学报 ›› 2022, Vol. 39 ›› Issue (4): 541-548.doi: 10.3969/j.issn.1007-5461.2022.04.008

单层原子的厚度对等离激元色散关系的修正

吴仍来1∗, 余亚斌2, 肖世发3, 全军3

( 1 惠州学院电子信息与电气工程学院, 广东惠州516007; 2 湖南大学物理与微电子科学学院, 湖南长沙410082; 3 岭南师范学院物理科学与技术学院, 广东湛江524048 )

收稿日期:2021-05-06 修回日期:2021-05-18 出版日期:2022-07-28 发布日期:2022-07-28
通讯作者: E-mail: apybyu@hnu.edu.cn E-mail:E-mail: apybyu@hnu.edu.cn
作者简介:吴仍来( 1986 - ), 江西抚州人, 博士, 讲师, 主要从事等离激元方面的研究。E-mail: wurenglai@sohu.com
基金资助:
Supported by National Natural Science Foundation of China (国家自然科学基金, 11647156), Foundation of Education Department of Guangdong Province, China (广东省教育厅基金, 2021KTSCX130), Teaching Quality and Teaching Reform Project of Guangdong Province (广东省教学质量与教学改革工程项目, 2017117), the Professorial and Doctoral Scientific Research Foundation of Huizhou University (惠州学院教授博士科研启动项目, 2020JB009)

Correction of plasmon dispersion relation due to thickness of monolayer-atom system

WU Renglai1∗, YU Yabin2, XIAO Shifa3, QUAN Jun3

( 1 School of Electronic Information and Electrical Engineering, Huizhou University, Huizhou 516007, China; 2 School of Physics & Electronics, Hunan University, Changsha 410082, China; 3 School of Physics Science & Technology, Lingnan Normal University, Zhanjiang 524048, China )

Received:2021-05-06 Revised:2021-05-18 Published:2022-07-28 Online:2022-07-28

摘要/Abstract

摘要： 基于自由电子气体模型, 利用线性响应理论结合格林函数方法求解了单层原子体系的等离激元频率, 得出了可适用于高电子密度短波情形的等离激元色散关系的解析解。研究结果表明: 原子层的厚度会降低等离激元的频率, 原子层越厚, 等离激元频率越小, 这种变小在波矢越大时表现得越明显。当单层原子的厚度趋于零时, 其等离激元的色散关系趋近于纯二维等离激元的色散关系。此外, 在单层原子体系等离激元频率的一阶近似中, 发现长波近似下等离激元频率的相对修正与波矢以及原子层的厚度都呈线性关系。

关键词: 光电子学, 等离激元, 线性响应理论, 格林函数方法, 单层原子体系

Abstract: Based on the free electron gas model, the plasmon frequency of a monolayer-atom system is solved by using the linear response theory and the Green function method, and the analytic expression for the plasmon dispersion, which can be applied to high electron density and short wavelength cases, is obtained. The results show that the thickness of the atomic layer can reduce the plasmon frequency. The thicker the atom layer is, the smaller the plasmon frequency will be, and this reduction is more obvious when the wave vector is larger. When the thickness of the monolayer-atom system tends to zero, the plasmon dispersion of the monolayer-atom system tends to that of a pure two dimensional system. In addition, in the first-order approximation of the plasmon frequency in monolayer-atom system, it is found that the relative correction of the plasmon frequency in the case of long-wave approximation is linearly related to the wave vector and the thickness of the atomic layer.

Key words: optoelectronics, plasmon, linear response theory, Green function method, monolayer-atom system

中图分类号:

O482.3

吴仍来∗, 余亚斌, 肖世发, 全军. 单层原子的厚度对等离激元色散关系的修正[J]. 量子电子学报, 2022, 39(4): 541-548.

WU Renglai∗, YU Yabin, XIAO Shifa, QUAN Jun. Correction of plasmon dispersion relation due to thickness of monolayer-atom system[J]. Chinese Journal of Quantum Electronics, 2022, 39(4): 541-548.

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单层原子的厚度对等离激元色散关系的修正

Correction of plasmon dispersion relation due to thickness of monolayer-atom system

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