DIRAC EQUATION FOR QUASI-PARTICLES IN GRAPHENE AND QUANTUM FIELD THEORY OF THEIR COULOMB INTERACTION

作者：Riazuddin^*

来源：International Journal of Modern Physics B, 2012, 26(21): 1242005.

DOI：10.1142/S0217979212420052

• Graphene
• Dirac equation for quasiparticles
• Dirac equation in (1+2) dimensions
• quantum field theory of Coulomb interaction

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%26apos;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 %26quot;conserved%26quot; 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).

• 出版日期2012-8-20