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Space-time dispersion of graphene conductivity

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  • L. A. Falkovsky
  • A. A. Varlamov

Abstract

We present an analytic calculation of the conductivity of pure graphene as a function of frequency ω, wave-vector k, and temperature for the range where the energies related to all these parameters are small in comparison with the band parameter γ≃3 eV, but much larger than the collision rate τ -1 . The simple asymptotic expressions are given in various limiting cases. For instance, the conductivity for kv 0 ≪ T≪ω is equal to σ(ω,k)=e 2 /4ħ and independent of the band structure parameters γ and v 0 . Our results are also used to explain the known dependence of the graphite conductivity on temperature and pressure. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Suggested Citation

  • L. A. Falkovsky & A. A. Varlamov, 2007. "Space-time dispersion of graphene conductivity," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 56(4), pages 281-284, April.
    • Handle: RePEc:spr:eurphb:v:56:y:2007:i:4:p:281-284
    DOI: 10.1140/epjb/e2007-00142-3
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