Resonant tunneling current in 2D Black Phosphorus heterostructures

Abstract

The purpose of the present work is to solve the problem of finding the resonant quantum tunneling photocurrent for a phosphorene heterostructure. I will first present a quick historical background of the solid-state physics field and show the theoretical framework needed for the solution. Any additional information, such as the demonstration of a nontrivial used theorem, will be presented in the appendices section. Then I will proceed to present a method for the solution of the resonant quantum tunneling problem. The method is the transfer function matrix. Since the system is known to present the phenomenon of resonant quantum tunnelling, the transfer matrix can be used to find the transmission coefficient for both the bulk black phosphorus and a phosphorene heterostructure. Furthermore, I will study how the electronic features of phosphorene, such as tunable band gap and anisotropy can be used to tune the transmission coefficient. Finally, I will calculate the current in a layer stacking based 2D black phosphorus double barrier potential.