Transport properties of zigzag graphene nanoribbons in the confined region of potential well

We report and adduced bandstructure by applying an external electrostatic potential inside the potential well or confined region, also outside the potential well. We study the electronic transport in ZGNR structures. We have utilized the non-equilibrium Green's function to calculate the Local Density of States (LDOS) and the transmission in the tight-binding framework. We want to study the confined (bound) states of an electron trapped inside the quantum well. We have studied the single subband in our system and calculated Transmission as well as the LDOS and charge distribution. The nearest neighbour tight binding model based on pz orbital forms the Hamiltonian in our case. Transmission curves show oscillations with the increase of layers of unit cell in the confined region, as it used to happen in Fabry-Perot resonances. Charge distribution for the case of bound states has been discussed.