Anomalous Behavior in an Effective Model of Graphene with Coulomb Interactions |
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Authors: | Alessandro Giuliani Vieri Mastropietro Marcello Porta |
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Institution: | 1. Università di Roma Tre, L.go S. L. Murialdo 1, 00146, Rome, Italy 2. Università di Roma Tor Vergata, V.le della Ricerca Scientifica, 00133, Rome, Italy 3. Università di Roma La Sapienza, P.le Aldo Moro 2, 00185, Rome, Italy
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Abstract: | We analyze by exact Renormalization Group (RG) methods the infrared properties of an effective model of graphene, in which
two-dimensional (2D) massless Dirac fermions propagating with a velocity smaller than the speed of light interact with a 3D
quantum electromagnetic field. The fermionic correlation functions are written as series in the running coupling constants,
with finite coefficients that admit explicit bounds at all orders. The implementation of Ward Identities in the RG scheme
implies that the effective charges tend to a line of fixed points. At small momenta, the quasi-particle weight tends to zero
and the effective Fermi velocity tends to a finite value. These limits are approached with a power law behavior characterized
by non-universal critical exponents. |
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