Theoretical analysis quantum tunnelling three potential barriers to the Schrodinger equation in grapheme

Abstract

Quantum mechanics is a branch of physics that can answer problems involving atomic nuclei, atoms, molecules, and matter in solids rather than classical mechanics.The phenomenon of three barrier tunnelling effects is the development of a double barrier tunnelling effect. This study aims to determine the transmission coefficient on three barriers. This study uses a barrier with the semiconductor material, graphene. Graphene material has a band gap energy close to 0 eV with a lattice distance of 0.246 nm. Analysis of tunnelling effects using the Schrodinger equation does not depend on time with the matrix propagation method. The results shown get the largest transmission coefficient is 1.00 of energy electron 0.9225 eV, meaning the chance of electrons in breaking through the barrier to 100%. However, after reaching the largest coefficient point on the three electron barriers the transmission coefficient decreases even though the energy is getting higher. But on one and two electron energy barriers and the transmission coefficient increases and does not decrease. The properties of this very special graphene can create a new opportunity in the utilization to produce better electronic field products such as supercapacitors and transistors.