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The nature of the coupling leading to superconductivity in layered materialssuch as high-Tc superconductors and graphite intercalation compounds (GICs) isstill unresolved. In both systems, interactions of electrons with eitherphonons or other electrons or both have been proposed to explainsuperconductivity. In the high-Tc cuprates, the presence of a Van Hovesingularity (VHS) in the density of states near the Fermi level was long agoproposed to enhance the many-body couplings and therefore may play a role insuperconductivity. Such a singularity can cause an anisotropic variation in thecoupling strength, which may partially explain the so-called nodal-antinodaldichotomy in the cuprates. Here we show that the topology of the graphene bandstructure at dopings comparable to the GICs is quite similar to that of thecuprates and that the quasiparticle dynamics in graphene have a similardichotomy. Namely, the electron-phonon coupling is highly anisotropic,diverging near a saddle point in the graphene electronic band structure. Theseresults support the important role of the VHS in layered materials and thepossible optimization of Tc by tuning the VHS with respect to the Fermi level.

Massive enhancement of electron-phonon coupling in doped graphene by an electronic singularity