Electron transport through an extended nano-ring in presence of magnetic field: An analytical approach

We analytically describe the influence of magnetic field on the electronic transport properties of an extended nano-ring by using Green's function technique in the nearest neighbor tight-binding approximation. We obtain exact analytic formulas for the electronic transmission coefficient, the total and local contact density of states as functions of incident electron energy, magnetic flux crossing over the ring and all the system parameters. Our formalism gives the ability to study the extended nano-rings of any size under certain conditions which provides useful tools to analyze electronic transport of these systems, much faster and more easily. The results show that the electronic transport quantities of a system consisting of a nano-ring are strongly sensitive to incoming electron energy, magnetic flux and contact hopping energies. The present approach may be useful to design nano-devices measuring magnetic field and magnetic based nano-switches.