A STUDY OF TWISTED BILAYER GRAPHENE AT MAGIC ANGLE

Abstract

Graphene is formed of a 2-D crystal of carbon atoms arranged in a honeycomb structure. It has been studied from the many decade but still not well understood. When bilayer graphene is twisted at particular angle θ = 1.05° many properties of this system get changed and show unconventional superconductivity and some extraordinary properties which are still a research area. In this report, we shell plot the energy band diagram for the monolayer graphene and bilayer graphene using tight binding Hamiltonian which we have disscused in chapter[2]. we have also plot band structure for magic angle and for twist angle θ = 5° using Continuum model which we have discussed in chapter[3].Using this band structure calculation we have calculated density of state for these twist angle which discussed in the result section [5]. These last two result are confirmation of the flat band in magic angle