Dynamical mean field study of the Dirac liquid |
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Authors: | S A Jafari |
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Institution: | (1) Department of Physics, Isfahan University of Technology, 84154-83111, Isfahan, Iran;(2) The Abdus Salam ICTP, 34100 Trieste, Italy |
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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
Fermi liquid theory has been able to explain, why despite the presence of Coulomb interactions, the free electron theory works so well
for simple metals with extended Fermi surface (FS). The recent synthesis of graphene has provided the condensed matter physicists
with a low energy laboratory of Dirac fermions where instead of a FS, one has two Fermi points. Many exciting phenomena in
graphene can be successfully interpreted in terms of free Dirac electrons. In this paper, employing dynamical mean field theory
(DMFT), we show that an interacting Dirac sea is essentially an effective free Dirac theory. This observation suggests the
notion of Dirac liquid as a fixed point of interacting 2 + 1 dimensional Dirac fermions. We find one more fixed point at strong interactions describing
a Mott insulating state, and address the nature of semi-metal to insulator (SMIT) transition in this system. |
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Keywords: | PACS" target="_blank">PACS 71 10 Fd Lattice fermion models (Hubbard model etc ) 73 43 Nq Quantum phase transitions |
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