Interlayer Electronic Superfluid in an External Magnetic Field in Graphene Double Layers

We investigate the formation mechanism of the recently proposed interlayer electronic superfluid state due to repulsive interaction in graphene double layers. Using the renormalization group argumentation we show how the emergence of a particular interlayer staggered order parameter wins the competition between several possible pairing mechanisms. We determine the effective action for the fluctuations of the order parameter and study its behavior in strong background magnetic fields. The filling factors obtained from the constraint conditions put on this action are in qualitative agreement with the previously experimentally observed results.