On the universal AC optical background in graphene

Abstract

The latest experiments have confirmed the theoretically expected universal value $\pi e^2/2h$ of the ac conductivity of graphene and have revealed departures of the quasiparticle dynamics from predictions for the Dirac fermions in idealized graphene. We present analytical expressions for the ac conductivity in graphene which allow one to study how it is affected by interactions, temperature, external magnetic field and the opening of a gap in the quasiparticle spectrum. We show that the ac conductivity of graphene does not necessarily give a metrologically accurate value of the von Klitzing constant $h/e^2$, because it is depleted by the electron-phonon interaction. In a weak magnetic field the ac conductivity oscillates around the universal value and the Drude peak evolves into a peak at the cyclotron frequency.

18 pages, 4 figures; v2: to match New J. Phys. (Focus on Graphene issue)

References in corpus (20)

• The electronic properties of graphene
• Universal Dynamic Conductivity and Quantized Visible Opacity of Suspended Graphene
• Magneto-optical conductivity in Graphene
• Infrared spectroscopy of Landau levels in graphene
• Scanning Tunneling Spectroscopy of Graphene on Graphite
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• Quantum critical transport in clean graphene
• Cyclotron Resonance study of the electron and hole velocity in graphene monolayers
• Coulomb interaction, ripples, and the minimal conductivity of graphene
• Sum Rules for the Optical and Hall Conductivity in Graphene
• Velocity Renormalization and Carrier Lifetime in Graphene from Electron-Phonon Interaction
• Cyclotron resonance in bilayer graphene
• Effect of electron-electron interactions on the conductivity of clean graphene
• Minimal conductivity in graphene: interaction corrections and ultraviolet anomaly
• Optical properties of graphene: the Fermi liquid approach
• The infrared conductivity of graphene
• Transport in a Clean Graphene Sheet at Finite Temperature and Frequency
• Spectroscopic Signatures of Massless Gap Opening in Graphene
• Optical-conductivity sum rule in cuprates and unconventional charge density waves: a short review
• Localized Collective Excitations in Doped Graphene in Strong Magnetic Fields