Non fermi liquid behavior in semimetals. Applications to the fullerenes

In a variety of semimetals with vanishing density of states the Fermi level, the low energy electronic states are described by an effective Dirac equation, instead, of the more conventional effective mass approximation (equivalent to Schrodinger equation). When this happens, electron-electron interactions give rise to anomalous features, which differ from those of conventional metals and insulators. A comprehensive discussion of these effects is presented, making use of the fact that Dirac electrons interacting through Coulomb forces lead to a well defined, renormalizable, quantum field theory, which has many similarities to quantum electrodynamics. The most remarkable feature is the absence of a coherent quasiparticle pole, like in 1D Luttinger liquids.