Theoretical modeling of current measurement in nanoscale device considering Green's function formalism

In recent years there are various way of predicting the current measurement through nanoscale device has been established. One of the most widely used and accepted is non-equilibrium Green's function method (NEGF). After NEGF method is approached scientist has worked a lot for describing the electronics characteristics in an easier way. Among them recursive algorithm is easier way of analyzing the electronics behavior through nanoscale devices only by mathematical modeling. By incorporating the Dyson's approximation and recursive algorithm, charge density is calculated for a definite nanostructured materials. In this paper we will first observe Dyson's approximation for calculating charge density as well as current density through the nanoscale devices. By using a unique and same dimension like length in all direction we will then calculate the current through the nanoscale device.