Hybrid Advances (Dec 2023)
Simulation approach to electron transport phenomenon in graphene
Abstract
This investigation was originally designed to verify that the tight-binding approach utilizes an amalgamation of estimated wave functions to compute the electrical band structure. Utilizing computational tools has become essential, especially for challenging and dull problems in physics. Computer programs, in general, once utilized in the approved manner, allow physical problems to be solved and explained rapidly and efficiently at the same time. The case then is to comprehend how to swap from the abstract equations to the computer program, i.e., codes. In this research, valid and numerical strategies are utilized to examine the electrical characteristics of 2D crystals through fluctuating geometries and magnetic fields. Certainty in the mathematical model is based upon those assessments of the two procedures utilizing the dispersal relationship and density of states. The numerical strategies become the importance as the examined systems goes into more complex to be investigated precisely. Throughout this study, it is confirmed that the tight-binding model utilizes a superposition of estimated wave functions to estimate the electrical band structure. This model was showed to a four-sided network and a hexagonal network to confirm the characteristics of electrons as they move over the graphene network. Particularly, this setup provides a way of investigating energy-reliant transport in graphene. The outcomes of this investigation are significant since the energy dependance of transport in mesoscopic graphene is the core of numerous odd transportation occurrences. Also, the conductance for the four-sided framework is considered utilizing the mathematical approaches and shows the accurate appearances for the quantum Hall effect.
