  Surface superconductivity in rhombohedral graphite is a robust phenomenon
which can exist even when higher order hoppings between the layers lift the
topological protection of the surface flat band and introduce a quadratic
dispersion of electrons with a heavy effective mass. We show that for weak
pairing interaction, the flat band character of the surface superconductivity
transforms into a BCS-like relation with high critical temperature
characterized by a higher coupling constant due to a much larger density of
states than in the bulk. Our results offer an explanation for the recent
findings of graphite superconductivity with an unusually high transition
temperature.
