Eur. Phys. J. B 56, 281-284 (2007)
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

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.