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In this work, we present a recursive Green’s function method to calculate electronic transport of armchair graphene nanoribbon (AGNR) and zigzag graphene nanoribbons (ZGNRs) quantum wires with randomly adsorption of monatomic gas molecules, which attached to two semi-infinite metallic leads. This model reduces numerical calculations time and enables us to use Green’s function method to investigate transport in a supperlattice device. The calculations based on the Landauer-type formula within the tight-binding approximation, which the recursive Green’s function method is used to solve inhomogeneous differential equations. The effects of monatomic gas molecules adsorption on electronic conductance properties are studied for various length and wide size of wire. Our numerical results show that the transport properties are strongly affected by the quantum interference effect, the lead interface geometry to the device and also adsorption of gas molecules on GNR sheets. By controlling the type of contact and wire geometry, this kind of system can explain the antiresonance states at the Fermi energy. The results can be used to control and engineer the graphene-based systems.

In this work, we introduce a recursive Green’s function method for investigating electronic transport in a graphene nanoribbons (GNRs) quantum wire with armchair (AGNR) and zigzag (ZGNR) edges which attached to two semi-infinite square lattice leads. This model reduces numerical calculations time and enables us to use Green’s function method to investigate transport in a supperlattice device. Therefore, we consider AGNR and ZGNR devices attached to metallic semi-infinite square lattice leads, taking into account the effects of longitudinal and wide of the wire. Our calculations are based on the tight-binding model, which the recursive Green’s function method is used to solve inhomogeneous differential equations. We concentrate on the electrical conductance and current for various length and wide size of the wire. Our numerical results show that the transport properties are strongly affected by the quantum interference effect and the lead interface geometry to the device. By controlling the type of contact and wire geometry, this kind of system can explain the antiresonance states at the Fermi energy. Our results can serve as a base for developments in designing nano-electronic devices.