Quantum Transport Of Mesoscopic Ring

In this work we have a detail investigation on the electronic transport properties through mesoscopic ring. Our arm is to explore the physical mechanisms of the effects in mesoscopic ring, and to supply physical models and make theoretical validity in designing novel quantum devices with better properties.Mesoscopic system is a system between macroscopic and microscopic sizes, depending on the properties under study and the environment temperatures. In the beginning of 1950 s, a serial of new attractive effects showing the interference of the electron waves were observed in the conductance study of cylinder films and small coil with diameter around 1μm. Since then a branch named mesoscopic physics. Since 1980 s, the study of the mesoscopic systems has become a new field in the condensed matter physics.In this study, first, We provide a brief review of previous achievements and investigations on theories and experiments of the mesoscopic ring and introduce characteristic length of mesoscopic system, basic concept, AB and AC effects. Then, geometric phases and persistent current are investigated in a mesoscopic polyacetylene ring. Using a modified Su-Schrieffer-Heeger (SSH) Hamiltonian, we show that an effective gauge potential of the π-electron due to spin-field interaction and...