Transport Properties of the Electron in One-dimensional Double Stub Mesoscopic Structures

During the last two decades, the development of fabrication technique have made available structures whose dimensions are much smaller than the characteristic length such as the mean free path and phase coherence length of an electron. These structures are referred to as mesoscopic system. The physical properties of the mesoscopic system are strongly affected by quantum interference effects. So it is an important question for discussing the transport properties of the electron in mesoscopic structures and it is physics gist to construct quantum devices. Up to now there have been lots of investigations about the mesoscopic system by using varieties theories and experimental methods. But the transport properties of the electron in one-dimensional double stub mesoscopic structures have not been studied. We discuss the transmission properties of electron in double stub mesoscopic structures with quantum waveguide theory. For the sake of simplicity we consider a coherent, dissipationless, quasi-one-dimensional system, and neglect scattering at the junction. We found that the transmission coefficient of electron in one- dimensional double stub mesoscopic structures oscillates with changing the length of the stub and the length of the ring. The transmission coefficient of the electron can be modulated up to 100% by modulating length of the stub and the length of the ring and it is very interesting to notice that the transmission coefficient of the electron modulated by two stubs is better than that modulated by one stub. The theory study is maybe valuable for the study of quantum devices.