Analytical and numerical study of quantum transport in an array of nanorings: A case study with double rings

We present an analytical method to obtain an expression for electron transmission through an array of disordered nanorings (ADNRs) sandwiched between two semi-infinite metallic leads in different lead-ring coupling strengths. Our approach is based on the nearest-neighbor tight-binding approximation and transfer matrix method. First, we derive an analytical formula for electron transmission across the system. Next, we apply our approach to study of the electron transport in a perfect double nanoring (PDNR) and design a NOR gate using the magnetic fluxes inputs. The conductance, current–voltage characteristics and threshold voltage of the system are calculated in the weak and strong coupling regimes.

We derive an analytical formula for electron transmission through an array of nanorings sandwiched between the two leads in different coupling strengths. Also, we design a NOR gate using the magnetic fluxes inputs.Figure optionsDownload as PowerPoint slideHighlights
► We derive an analytical formula for electron transmission across the system.
► We study the electron transport in a perfect double nanoring and design a NOR gate.
► Our approach is based on the tight-binding approximation and transfer matrix method.
► The threshold voltage is very sensitive to the changes of the magnetic flux, coupling strength and ring size.