Random resistor network model of minimal conductivity in graphene

Abstract

Transport in undoped graphene is related to percolating current patterns in the networks of N- and P-type regions reflecting the strong bipolar charge density fluctuations. Transmissions of the P-N junctions, though small, are vital in establishing the macroscopic conductivity. We propose a random resistor network model to analyze scaling dependencies of the conductance on the doping and disorder, the quantum magnetoresistance and the corresponding dephasing rate.

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