Space-time dispersion of graphene conductivity

Abstract

We present an analytic calculation of the conductivity of pure graphene as a function of frequency $\omega$, wave-vector $k$, and temperature for the range where the energies related to all these parameters are small in comparison with the band parameter $\gamma =3$ eV. The simple asymptotic expressions are given in various limiting cases. For instance, the conductivity for $k{v}_0\ll T\ll \omega$ is equal to $\sigma (\omega ,k)=e^2/4\hslash$ and independent of the band structure parameters $\gamma$ and $v_0$. Our results are also used to explain the known dependence of the graphite conductivity on temperature and pressure.

4 pages, 1 figure, to be submitted

References in corpus (9)

• Electric Field Effect in Atomically Thin Carbon Films
• Electronic Properties of Disordered Two-Dimensional Carbon
• Quantum-limited shot noise in graphene
• Selective transmission of Dirac electrons and ballistic magnetoresistance of \textit{n-p} junctions in graphene
• Quantum transport of massless Dirac fermions in graphene
• Unusual Microwave Response of Dirac Quasiparticles in Graphene
• Electric Field Modulation of Galvanomagnetic Properties of Mesoscopic Graphite
• Effect of Disorder on Transport in Graphene
• On electron (anti)localization in graphene

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