Polarization operator in the 2+1 dimensional quantum electrodynamics with a nonzero fermion density in a constant uniform magnetic field

Abstract

The polarization operator (tensor) for planar charged fermions in constant uniform magnetic field is calculated in the one-loop approximation of the 2+1 dimensional quantum electrodynamics (QED${}_{2+1}$) with a nonzero fermion density. We construct the Green function of the Dirac equation with a constant uniform external magnetic field in the QED${}_{2+1}$ at the finite chemical potential, find the imaginary part of this Green function and then obtain the polarization tensor related to the combined contribution from real particles occupying the finite number of energy levels and magnetic field. We expect that some physical effects under consideration seem to be likely to be revealed in a monolayer graphene sample in the presence of external constant uniform magnetic field $B$ perpendicular to it.

9 pages, 2 references are deleted

References in corpus (17)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Chiral tunneling and the Klein paradox in graphene
• Colloquium: The transport properties of graphene: An introduction
• Quantum transport of massless Dirac fermions in graphene
• The Coulomb impurity problem in graphene
• Vacuum Polarization and Screening of Supercritical Impurities in Graphene
• Dynamical polarization, screening, and plasmons in gapped graphene
• Fractional Quantum Hall Effect in Graphene
• Screening of Coulomb Impurities in Graphene
• Effects of spin on the dynamics of the 2D Dirac oscillator in the magnetic cosmic string background
• Aharonov-Bohm effect in the tunnelling of a quantum rotor in a linear Paul trap
• Dynamical polarization of monolayer graphene in a magnetic field
• Faraday rotation in graphene
• Remarks on nonlinear Electrodynamics
• Ground-state properties of gapped graphene using the random phase approximation
• Graphene transparency in weak magnetic fields