  We study the exciton condensation in the heterostructures where the electron
layer and hole layer formed by gapped chiral Fermion (GCF) systems are
separately gated. High-angular momentum such as p- and d-wave like excitonic
pairing may emerge when the gap of the GCF systems is small compared to the
Fermi energy, and the chiral winding number of the electrons and holes are the
same. This is a result of the non-trivial band geometry and can be linked to
the Berry curvature when projected onto the Fermi surface. In realistic
systems, we propose that staggered graphene and magnetic topological surface
states are promising candidates for realizing p-wave exciton superfluid, and
anomalous Hall conductivity can be used as a signature in experiments.
