Twisted bilayer graphene displays insulating and superconducting phases caused by exceptional flattening of its lowest energy bands. In our work we discuss both superconducting and non-superconducting orders in twisted bilayer graphene (TBG). We study patch models, which are relevant near the Van Hove doping of TBG. We show that the presence of non-local interaction terms generates nematic superconductivity. The very same terms also lead to orbital ferromagnetism, which was discovered before in the strong-coupling calculations.

Dmitry Chichinadze

University of Minnesota