We discuss the BCS theory for electrons in graphene with a superimposed
electrical unidirectional superlattice (SL) potential. New Dirac points emerge
together with van Hove singularities (VHSs) linking them. We obtain a
superconducting transition temperature Tc for chemical potentials close to the
VHSs assuming that acoustic phonon coupling should be the dominant mechanism.
Pairing of two onsite electrons with one electron close to the K and the other
close to the −K point is the most stable pair formation. The resulting order
parameter is almost constant over the entire SL
