Space-time dispersion of graphene conductivity |
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Authors: | L A Falkovsky A A Varlamov |
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Institution: | (1) L.D. Landau Institute for Theoretical Physics, Moscow, 117334, Russia;(2) Institute of the High Pressure Physics, Troitsk, 142190, Russia;(3) COHERENTIA - INFM, CNR, via del Politecnico 1, 00133 Rome, Italy |
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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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Keywords: | 81 05 Uw Carbon diamond graphite 78 67 Ch Nanotubes 78 67 -n Optical properties of low-dimensional mesoscopic and nanoscale materials and structures |
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