Renormalization of Coulomb interaction in graphene: computing observable quantities

Abstract

We address the computation of physical observables in graphene in the presence of Coulomb interactions of density-density type modeled with a static Coulomb potential within a quantum field theory perturbative renormalization scheme. We show that all the divergences encountered in the physical quantities are associated to the one loop electron self-energy and can be determined without ambiguities by a proper renormalization of the Fermi velocity. The renormalization of the photon polarization to second order in perturbation theory - a quantity directly related to the optical conductivity - is given as an example.

8 pages, 4 figures

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• Interaction Induced Quantum Valley Hall Effect in Graphene
• Geometrical and topological aspects of graphene and related materials
• Universal collisionless transport of graphene
• Dynamics of electric transport in interacting Weyl semimetals
• Hall viscosity and electromagnetic response of electrons in graphene
• Many-body effects in graphene beyond the Dirac model with Coulomb interaction
• New quantum critical points of $j=3/2$ Dirac electrons in antiperovskite topological crystalline insulators
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• Anisotropic RKKY interaction in spin polarized graphene
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• Nonperturbative Dyson-Schwinger equation approach to strongly interacting Dirac fermion systems
• Optical conductivity of graphene in the presence of random lattice deformations
• Field theoretic study of electron-electron interaction effects in Dirac liquids
• Unparticle mediated superconductivity
• Influence of the four-fermion interactions in (2+1)D massive electrons system
• Exciton swapping in a twisted graphene bilayer as a solid-state realization of a two-brane model
• Effects of the Pseudo-Chern-Simons action for strongly correlated electrons in the plane
• Spin polarization dependence of quasiparticle properties in graphene
• A non-perturbative study of the interplay between electron-phonon interaction and Coulomb interaction in undoped graphene
• Dynamical Mass Generation in Pseudo Quantum Electrodynamics with Gross-Neveu Interaction at finite temperature