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Ca-intercalation has opened a way for superconductivity in graphene on SiC.However, the atomic and electronic structures being critical forsuperconductivity are still under discussion. We find the essential role of theinterface between monolayer graphene and the SiC substrate forsuperconductivity. In the Ca-intercalation process, at the interface a carbonlayer terminating SiC changes to graphene by Ca-termination of SiC (monolayergraphene becomes bilayer) with inducing more carriers than a free-standingmodel. Then, Ca is intercalated in-between graphene layers, which showssuperconductivity with the updated critical temperature ($T_{C}$) of up to 5.7K. In addition, the relation between $T_{C}$ and the normal-state conductivityis unusual, "dome-shape". These findings are beyond the simple C6CaC6 model inwhich s-wave BCS superconductivity is theoretically predicted. This workproposes a general picture of the intercalation-induced superconductivity ingraphene on SiC, and shed the light on the potential of superconductivityinduced by other intercalants.

Two-dimensional superconductivity of the Ca-intercalated graphene on SiC: vital role of the interface between monolayer graphene and the substrate