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Electric transport theory of Dirac fermions in graphene

2007/08/31 by Xin-Zhong Yan, Yousef Romiah, C. S. Ting
Materials Science · Physics and Astronomy · #Graphene research and applications #Quantum and electron transport phenomena #Thermal properties of materials #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.77.125409

published as Phys. Rev. B 77, 125409 (2008) · 6 pages, 3 figures

arxiv created 2007/12/19 · openalex publication_date 2008/03/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the self-consistent Born approximation to the Dirac fermions under finite-range impurity scatterings, we show that the current-current correlation function is determined by four-coupled integral equations. This is very different from the case of impurities with short-range potentials. As a test of the present approach, we calculate the electric conductivity in graphene for charged impurities with screened Coulomb potentials. The obtained conductivity at zero temperature varies linearly with the carrier concentration, and the minimum conductivity at zero doping is larger than the existing theoretical predictions, but still smaller than that of the experimental measurement. The overall behavior of the conductivity obtained by the present calculation at room temperature is similar to that at zero temperature except that the minimum conductivity is slightly larger.

Citations