Investigation of Tunneling Between the Edge States of Phosphorene Nanoribbon with Zigzag Edge

Abstract

In this paper, the transport properties of a phosphorene nanoribbon with zigzag edges are investigated. Although phosphorene is a two-dimensional structure with gaps, each zigzag edge of phosphorene nanoribbon acts like a one-dimensional quantum wire, so a nanoribbon with two edges is similar to two parallel quantum wires. We also show that by adding an impurity line between the upper and lower edges, we can create an impurity strip that can connect the upper edge to the lower edge. In other words, different inputs can be coupled to different outputs. To calculate coupling coefficients between inputs and outputs, we use the Lippmann-Schwinger formulation. The final results show that depending on the energy of the input state and the corresponding standing wave in the impurity band, the phenomenon of resonance or anti-resonance can be created in the dispersion between inputs and outputs. Besides the theoretical aspect of the proposed scheme presented in this article, it can be applied to make nanoswitches in practice.

Keywords

• phosphorene
• the edge- state
• impurity band
• lippmann- schwinger formulation