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相干平行板电容器对外场的动态响应
Dynamic response of the coherent parallel-plate capacitor to the external field
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摘要: 基于介观体系动态响应的自洽理论,讨论了介观相干平行板电容器的电容.结果表明相干电容器的电容对外场频率有很强的依赖关系,并且是随频率变化的复变函数.该电容随频率的变化关系呈现出一个非常有意义的特性,即电容虚部曲线有一个较尖锐的峰,它正好与电容实部的极小位置相对应,而进一步研究发现它们与该电容体系中的类等离子体激发相联系.另外,也讨论了介观电容的尺寸效应,发现当极板间距很大时,电容值和宏观的几何电容结果趋于一致.Abstract: We discuss the capacitance of a coherent mesoscopic parallel-plate capacitor based on the self-consistent theory of dynamic response for mesoscopic systems.The results show that the capacitance is a complex function of frequency which is strongly dependent on the frequency of the external field.The capacitance-frequency curve shows a significant characteristic that a peak in the imaginary part of the capacitance corresponds to the minimum in the real part, and further study shows that they are related to a plasmon-like excitation.In addition,we discuss the size effect of the capacitor, and find that the capacitance approaches geometric capacitance when the distance between two plates of the capacitor is very large.
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