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Abstract: Renormalization is one of the basic notions of condensed matter physics.Based on the concept of renormalization, the Landau-s {\em Fermi liquid} theoryhas been able to explain, why despite the presence of Coulomb interactions, thefree electron theory works so well for simple metals with extended Fermisurface FS. The recent synthesis of graphene has provided the condensedmatter physicists with a low energy laboratory of Dirac fermions where insteadof a FS, one has two Fermi points. Many exciting phenomena in graphene can besuccessfully interpreted in terms of free Dirac electrons. In this paper,employing dynamical mean field theory DMFT, we show that an interacting Diracsea is essentially an effective free Dirac theory. This observation suggeststhe notion of {\em Dirac liquid} as a fixed point of interacting 2+1dimensional Dirac fermions. We find one more fixed point at strong interactionsdescribing a Mott insulating state, and address the nature of semi-metal toinsulator SMIT transition in this system.



Author: S. A. Jafari

Source: https://arxiv.org/







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