Disorder and Defects in Graphene Band Structures

Calculating the electronic band structure of graphene provides an important insight into the electrical properties of this 2D carbon-based lattice. Of particular interest here is modelling disorder and defects within the lattice, and their effect on graphene's band structure. This includes varying levels of potential difference within the lattice, as well as varying symmetrical and asymmetrical defects - such as the ``585'' defect. Through a series of MATLAB scripts, these effects are theoretically modelled using a tight-binding model. Our results include a blurred band ``gap''--a result also seen, and speculated upon, experimentally.