Real-space Hartree-Fock approach to magic angle twisted bilayer graphene

We employ an atomistic tight-binding model to address basic properties of the normal state of magic-angle twisted bilayer graphene. Within Hartree-Fock theory, we obtain the normal state at the charge neutrality point, revealing a non-trivial renormalization of the band structure and an associated shift in the value of the magic angle. We then extract the parameters of a generalized Bistritzer-MacDonald model, thereby establishing a low-energy description that incorporates many-body effects from high-energy states. Additionally, we introduce a novel set of local order parameters that capture the symmetry-breaking patterns of various correlated phases in real space.