• 文献标题:   Anomalous Behavior in an Effective Model of Graphene with Coulomb Interactions
  • 文献类型:   Article
  • 作  者:   GIULIANI A, MASTROPIETRO V, PORTA M
  • 作者关键词:  
  • 出版物名称:   ANNALES HENRI POINCARE
  • ISSN:   1424-0637
  • 通讯作者地址:   Univ Roma Tre
  • 被引频次:   9
  • DOI:   10.1007/s00023-010-0068-x
  • 出版年:   2010

▎ 摘  要

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.