考虑到电荷在介观电容和电感耦合电路中不连续这一事实。借助经典拉格朗日正则变换及有限微分薛定谔方程对电路中的库仑阻塞效应进行研究。结果显示。影响电路中库仑阻塞的因素不仅有各个回路中的元件参数,还有相互耦合的元件的参数。从而进一步认识介观尺寸下的量子效应的特征和规律。为微电子器件和集成电路的优化设计提供理论指导。
In view of the discreteness of electric charges in coupled mesoscopic capacitance and inductance circuit, the Coulomb blockade effect is studied by means of the classical Lagrangian canonical transformation and the finite-difference Schr?dinger equation. The results show that Coulomb blockade effect is not only related with the component parameters of each circuit, but also with the coupling parameters,which would serve as an insight to understand the characteristics of the quantum in mesoscopic fields. This paper provides a theoretical basis for design of the micro-nano circuits and devices,