2008/09/30 by E. Cappelluti, Lara Benfatto, L. Benfatto · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Boltzmann constant #Condensed matter physics #Conductivity #Graph #Graphene #Graphene research and applications #Kubo formula #Mathematics #Physics #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Renormalization #Scattering #Semiclassical physics #Surface and Thin Film Phenomena #Vertex (graph theory) #Weak localization #cond-mat.mes-hall #cond-mat.mtrl-sci
paper · pdf · doi:10.1103/physrevb.79.035419
published as Phys. Rev. B 79, 035419 (2009) · (pages latex
openalex publication_date 2009/01/29 · arxiv created 2009/02/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The remarkable transport properties of graphene follow not only from the Dirac-type 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. This result is also robust against a small sublattice inequivalence, which partly spoils the role of chirality and leads to a doping dependence of the resistivity that can be relevant to recent transport experiments in doped graphene samples.