https://doi.org/10.1140/epjb/e2007-00142-3
Space-time dispersion of graphene conductivity
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
Corresponding author: a varlamov@ing.uniroma2.it
Received:
31
January
2007
Published online:
24
May
2007
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.
PACS: 81.05.Uw – Carbon, diamond, graphite / 78.67.Ch – Nanotubes / 78.67.-n – Optical properties of low-dimensional, mesoscopic, and nanoscale materials and structures
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2007