Effective medium theory for disordered two-dimensional graphene

Understand

We develop an Effective Medium Theory to study the electrical transport properties of disordered graphene.

• The theory includes non-linear screening and exchange-correlation effects allowing us to consider experimentally relevant strengths of the Coulomb interaction.
• Assuming random Coulomb impurities, we calculate the electrical conductivity as a function of gate voltage describing quantitatively the full cross-over from the fluctuations dominated regime around the Dirac point to the large doping regime at high gate voltages.
• We find that the conductivity at the Dirac point is strongly affected by exchange correlation effects.