Field theoretic renormalization study of interaction corrections to the universal ac conductivity of graphene

Abstract

The two-loop interaction correction coefficient to the universal ac conductivity of disorder-free intrinsic graphene is computed with the help of a field theoretic renormalization study using the BPHZ prescription. Non-standard Ward identities imply that divergent subgraphs (related to Fermi velocity renormalization) contribute to the renormalized optical conductivity. Proceeding either via density-density or via current-current correlation functions, a single well-defined value is obtained: $\mathcal{C}=(19-6\pi )/12)=0.01$ in agreement with the result first obtained by Mishchenko and which is compatible with experimental uncertainties.

LaTeX file with feynMF package. (v2) Footnotes and references added to answer referee's questions and comments. No change in results. 23 pages (JHEP format), 4 figures (v1) 12 pages, 4 figures

References in corpus (12)

• Universal Dynamic Conductivity and Quantized Visible Opacity of Suspended Graphene
• Measurement of the Optical Conductivity of Graphene
• Colloquium: The transport properties of graphene: An introduction
• Unusual Microwave Response of Dirac Quasiparticles in Graphene
• On the universal AC optical background in graphene
• Coulomb interaction, ripples, and the minimal conductivity of graphene
• Drude weight, plasmon dispersion, and a.c. conductivity in doped graphene sheets
• Minimal conductivity in graphene: interaction corrections and ultraviolet anomaly
• Interaction corrections to the polarization function of graphene
• Why does graphene behave as a weakly interacting system?
• Conductivity of interacting massless Dirac particles in graphene: Collisionless regime
• Interaction corrections to the minimal conductivity of graphene via dimensional regularization

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• Chiral symmetry restoration in RQED at finite temperature in the supercritical coupling regime
• Many-body effects in nodal-line semimetals: correction to the optical conductivity
• Effects of the two-dimensional Coulomb interaction in both Fermi velocity and energy gap for Dirac-like electrons at finite temperature
• Sommerfeld enhancement factor in two-dimensional Dirac materials
• Bosonization of the $\mathbf{Q}=0$ continuum of Dirac Fermions