• 文献标题:   DIRAC EQUATION FOR QUASI-PARTICLES IN GRAPHENE AND QUANTUM FIELD THEORY OF THEIR COULOMB INTERACTION
  • 文献类型:   Article
  • 作  者:   RIAZUDDIN
  • 作者关键词:   graphene, dirac equation for quasiparticle, dirac equation in 1+2 dimension, quantum field theory of coulomb interaction
  • 出版物名称:   INTERNATIONAL JOURNAL OF MODERN PHYSICS B
  • ISSN:   0217-9792 EI 1793-6578
  • 通讯作者地址:   Natl Ctr Phys
  • 被引频次:   1
  • DOI:   10.1142/S0217979212420052
  • 出版年:   2012

▎ 摘  要

There is evidence for existence of massless Dirac quasiparticles in graphene, which satisfy Dirac equation in (1+2) dimensions near the so called Dirac points which lie at the corners at the graphene's brilluoin zone. We revisit the derivation of Dirac equation in (1+2) dimensions obeyed by quasiparticles in graphene near the Dirac points. It is shown that parity operator in (1+2) dimensions play an interesting role and can be used for defining "conserved" currents resulting from the underlying Lagrangian for Dirac quasiparticles in graphene which is shown to have U-A(1) x U-B(1) symmetry. Further the quantum field theory (QFT) of Coulomb interaction of 2D graphene is developed and applied to vacuum polarization and electron self-energy and the renormalization of the effective coupling g of this interaction and Fermi velocity v(f) which has important implications in the renormalization group analysis of g and v(f).