Maximally Localized Wannier Orbitals and the Anderson Impurity Model for Twisted Bilayer Graphene*

We developed an effective Anderson impurity model to describe the low energy electronic properties of the twisted bilayer graphene. By using the method of selectively localizing Wannier orbitals, we construct a model that captures the key energetic and symmetry features of the original low energy bands and is possible for further calculation with non-perturbative methods. Using this model, we investigated the effect of interaction and the applied magnetic field near the half-filled region.