Investigation Of Quantum Current Magnified Effect Of Coupled Mesoscopic Metal Rings And Quantum Fluctuation In Mesoscopic Dissipative Circuits

With the progress in nanotechnology and microelectronics, the trend in the miniaturization of integrated circuits and devices towards atomic scale dimension becomes strong and definite. It is clear when the transport dimension reaches a characteristic dimension, namely, the charge carrier inelastic coherence length; quantum effects must now be taken into accounted. In recent years, many phenomena have been observed and have attracted great interest in this field.In the paper, firstly, taking the charge quantization of the system into account, we discuss the relationship between extend magnetic field and persistent currents of three mesoscopic coupled rings with charge discreteness. Through numerical calculation and analysis, it is found that the properties of persistent current depend on both external magnetic flux and couple factor and factors. In addition, when the external magnetic flux through the mesoscopic coupled metal rings satisfies some certain constrained conditions, quantum current magnification effect will appear in the system.Because that there is dissipation in actual circuit, namely, actual circuit always have resistance. So, in the second section of the paper, starting from the physical mechanism of the generation of the resistance or the interaction of electrons with the lattices, a new quantization method is given for the parallel RLC circuit and serial RLC circuit. And the quantum fluctuations are computed. From the calculation results, we can see that charge and currentin the RLC circuits exhibit quantum fluctuations of zero point vibration at OK. Therefore at low temperature, the fluctuations of charge and current in the RLC circuit are quantum mechanical effects, which is a quantum phenomenon originating from fluctuations of zero point vibration of the system.