Transport in a Clean Graphene Sheet at Finite Temperature and Frequency

Abstract

We calculate the conductivity of a clean graphene sheet at finite temperatures starting from the tight-binding model. We obtain a finite value for the dc-conductivity at zero temperature. For finite temperature, the spontaneous electron-hole creation, responsible for the finite conductivity at zero temperature, is washed out and the dc-conductivity yields zero. Our results are in agreement with calculations based on the field-theoretical model for graphene.

arXiv comment8 pages, 1 figure

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• Colloquium: The transport properties of graphene: An introduction
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• Plasmonics in Dirac systems: from graphene to topological insulators
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• Conductivity of suspended and non-suspended graphene at finite gate voltage
• Optical conductivity, Drude weight and plasmons in twisted graphene bilayers
• Efficient terahertz electro-absorption modulation employing graphene plasmonic structures
• Interacting Electrons in Graphene: Fermi Velocity Renormalization and Optical Response
• The infrared conductivity of graphene
• Dirac electrons in graphene-based quantum wires and quantum dots
• Conductivity of pure graphene: Theoretical approach using the polarization tensor
• Reflection beamshifts of visible light due to graphene
• Dynamical current-current correlation of the hexagonal lattice and graphene
• Conductivity of graphene in the framework of Dirac model: Interplay between nonzero mass gap and chemical potential
• Quantum electrodynamic approach to the conductivity of gapped graphene
• Effect of Holstein phonons on the optical conductivity of gapped graphene
• AC transport properties of single and bilayer graphene
• Neutral magic-angle bilayer graphene: Condon instability and chiral resonances
• On the convergence of the polarization tensor in space-time of three dimensions
• Electronic spectrum and optical properties of Y-shaped Kekule-patterned graphene: Band nesting resonance as an optical signature
• Strain- and doping-tunable optical resonance in Kekulé-Y graphene
• Temperature Dependence of the Response Functions of Graphene: Impact on Casimir and Casimi-Polder Forces in and out of Thermal Equilibrium
• Universal absorption of two-dimensional systems