A fermionic Quantum Monte Carlo study of Twisted Bilayer Graphene

We present a quantum Monte Carlo (QMC) study of twisted bilayer graphene (TBG) near the magic angle at half-filling. Due to its strongly interacting nature as well as topological obstructions for a simple lattice model, an unbiased numerical study of a continuum model of TBG has been a challenging problem. We establish the absence of the sign problem for this model and describe a computationally tractable formulation of this problem. Finally, we will present results from the QMC studies and the phase diagram on tuning physical parameters.