BaDElPh Highlights

We have performed an high-resolution ARPES investigation to try to find an electron donor for graphene that is capable of inducing strong electron–phonon coupling and superconductivity. Experiments were carried out on Cs, Rb, K, Na, Li, and Ca doped graphene. For each dopant we determine the full electronic band structure, the Eliashberg function, and the superconducting critical temperature T_c from the spectral function. From a self-energy analysis we find an anisotropic electron-phonon coupling parameter for the KΓ (KM) high-symmetry directions in momentum space, respectively. Interestingly, the high-energy part of the Eliashberg function which relates to graphene's optical phonons is equal in both directions but only in KM does appear an additional low-energy peak for all dopants with an energy and intensity that depend on the dopant atom. The low energy and high intensity of this peak are crucially important for achieving superconductivity, with Ca being the most promising candidate for realizing superconductivity in graphene.