Properties of Twisted Bilayer Graphene and Impact of Symmetry Breaking

Abstract

We have studied the properties of twisted bilayer graphene and impact of symmetry breaking. The twisted bilayer graphene feature is degenerate flat bands for twist angle. The chiral symmetry is responsible for breaking the magic value is responsible for flat bands. It was found that breaking in twisted bilayer graphene is weaker. It was also found that half chiral model helps to determine phases of twisted bilayer graphene. The formation of flat bands the presence of strong coupling is essential and it removes symmetry breaking. It was found that when perturbation was used for the obtaining results then induction of band width and change of magic number was not possible. The breaking due to low harmonic produced phases towards potential creation. The chiral symmetry generated insulating states.