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 kv0≪ T≪ω is equal to σ(ω,k)=e2/4ħ and independent of the band structure parameters γ and v0. Our results are also used to explain the known dependence of the graphite conductivity on temperature and pressure.
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Falkovsky, L., Varlamov, A. Space-time dispersion of graphene conductivity. Eur. Phys. J. B 56, 281–284 (2007). https://doi.org/10.1140/epjb/e2007-00142-3
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DOI: https://doi.org/10.1140/epjb/e2007-00142-3