Diffusive transport in graphene: the role of interband correlation

Abstract

We present a kinetic equation approach to investigate dc transport properties of graphene in the diffusive regime considering long-range electron-impurity scattering. In our study, the effects of interband correlation (or polarization) on conductivity are taken into account. We find that the conductivity contains not only the usual term inversely proportional to impurity density $N_i$, but also an anomalous term that is linear in $N_i$. This leads to a minimum in the density dependence of conductivity when the electron density $N_{\mathrm{e}}$ is equal to a critical value, $N_c$. For $N_{\mathrm{e}}>N_c$ the conductivity varies almost linearly with the electron density, while it is approximately inversely proportional to $N_{\mathrm{e}}$ when $N_{\mathrm{e}}<N_c$ in the diffusive regime. The effects of various scattering potentials on the conductivity minimum are also analyzed. Using typical experimental parameters, we find that for RPA screened electron-impurity scattering the minimum conductivity is about $5.1e^2/h$ when $N_{\mathrm{e}}\approx 0.32N_i$.

7 pages, 1 figure; discussion concerning the effects of interband correlation added

References in corpus (12)

• Electric Field Effect in Atomically Thin Carbon Films
• Dielectric function, screening, and plasmons in 2D graphene
• Unconventional Integer Quantum Hall effect in graphene
• A self-consistent theory for graphene transport
• Quantum-limited shot noise in graphene
• Quantum Hall Ferromagnetism in Graphene
• Space-time dispersion of graphene conductivity
• Quantum transport of massless Dirac fermions in graphene
• On the minimal conductivity of graphene
• Robust Transport Properties in Graphene
• Graphene: A Pseudochiral Fermi Liquid
• Statistics of random voltage fluctuations and the low-density residual conductivity of graphene