About

• The superconductivity found in twisted bilayer graphene is the Physics World 2018 Breakthrough of the Year.
• In this project, we solve the Landau levels for the tight-binding model(Hofstadter-Butterfly-TBG) for monolayer and twisted Bilyer Graphene and reproduce the results of PhysRevB.88.125426(2013).

Basic Usage:

0. Install kwant package before run any of the following:

1. Use TBG_plot.ipynb file to Visualize the lattice structure. Choose the geometrical parameters(m1,m2) for the Twisted Bilayer(ref: PhysRevB.88.125426(2013)).

2. Use Twisted_Bilayer_butterfly_plot.py to obtain the Hofstadter-Butterfly.One can also change (m1,m2) etc to get the Hofstadter-Butterfly for different TGB lattices.

3. Use ./mono-layer/monolayer_extended_model_butterfly.py to obtain Hofstadter-Butterfly for single-layer graphene.