Vertex renormalization in dc conductivity of doped chiral graphene

Details Vertex renormalization in dc conductivity of doped chiral graphene Vertex renormalization in dc conductivity of doped chiral graphene

2008-09-24

arxiv.org/abs/0809.4215v2

Phys. Rev. B 79, 035419 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

(pages latex

Scientific paper

10.1103/PhysRevB.79.035419

The remarkable transport properties of graphene follow not only from the the Dirac-like energy dispersion, but also from the chiral nature of its excitations, which makes unclear the limits of applicability of the standard semiclassical Boltzmann approach. In this paper we provide a quantum derivation of the transport scattering time in graphene in the case of electron-phonon interaction. By using the Kubo formalism, we compute explicitly the vertex corrections to the dc conductivity by retaining the full chiral matrix structure of graphene. We show that at least in the regime of large chemical potential the Boltzmann picture is justified, and it is also robust against a small sublattice inequivalence which partly spoils the role of chirality.

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