low-energy effects of two dimensional Dirac semimetals with interactions.

We discuss the effects of interactions and incommensuration on the low-energy properties of two dimensional Dirac semimetals. We focus on charge neutrality and in a model that possesses a magic-angle (i.e. vanishing Dirac velocity) and study the evolution of the interaction induced magnetic transition in the presence of a magic-angle. The model is investigated analytically using perturbation theory and a mean field description as well as numerically using Hartree-Fock and an auxiliary field quantum Monte Carlo approach.