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

作　　者：吴仍来 余亚斌[2] 肖世发 全军 WU Renglai;YU Yabin;XIAO Shifa;QUAN Jun(School of Electronic Information and Electrical Engineering,Huizhou University,Huizhou 516007,China;School of Physics&Electronics,Hunan University,Changsha 410082,China;School of Physics Science&Technology,Lingnan Normal University,Zhanjiang 524048,China)

机构地区：[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

出　　处：《量子电子学报》2022年第4期541-548,共8页Chinese Journal of Quantum Electronics

基　　金：国家自然科学基金(11647156);广东省教育厅基金(2021KTSCX130);广东省教学质量与教学改革工程项目(2017117);惠州学院教授博士科研启动项目(2020JB009)。

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。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.

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 

分 类 号：O482.3[理学—固体物理]