  Graphene is the physical realization of many fundamental concepts and
phenomena in solid state-physics, but in the long list of graphene remarkable
properties, a fundamental block is missing: superconductivity. Making graphene
superconducting is relevant as the easy manipulation of this material by
nanolytographic techniques paves the way to nanosquids, one-electron
superconductor-quantum dot devices, superconducting transistors at the
nano-scale and cryogenic solid-state coolers. Here we explore the doping of
graphene by adatoms coverage. We show that the occurrence of superconductivity
depends on the adatom in analogy with graphite intercalated compounds (GICs).
However, most surprisingly, and contrary to the GIC case, Li covered graphene
is superconducting at much higher temperature with respect to Ca covered
graphene.
