Nonlinear electromagnetic response of a uniform electron gas.
Nonlinear electromagnetic response of a uniform electron gas.
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均匀电子气的非线性电磁响应
DOI：
10.1103/physrevlett.113.027405
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发表时间：
2014
影响因子：
8.6
通讯作者：
S. A. Mikhailov
中科院分区：
文献类型：
--
作者：
S. A. Mikhailov
在自洽场理论中，由线性极化率和Lindhard介电函数确定了均匀电子气对纵向电场的线性电磁响应。用同样的方法，我们导出了具有抛物线电子能量色散的三维、二维和一维均匀电子气的二阶和三阶非线性极化率的解析表达式。结果对简并(费米)和非简并(玻尔兹曼)电子气都是有效的。预测了由于单粒子共振和集体(等离子体)共振的组合，二次和三次谐波产生的共振增强。
The linear electromagnetic response of a uniform electron gas to a longitudinal electric field is determined, within the self-consistent-field theory, by the linear polarizability and the Lindhard dielectric function. Using the same approach, we derive analytical expressions for the second- and third-order nonlinear polarizabilities of the three-, two-, and one-dimensional homogeneous electron gases with the parabolic electron energy dispersion. The results are valid both for degenerate (Fermi) and nondegenerate (Boltzmann) electron gases. A resonant enhancement of the second- and third-harmonics generation due to a combination of the single-particle and collective (plasma) resonances is predicted.