Cheianov, Vadim V. and Falko, Vladimir and Altshuler, Boris L. and Aleiner, Igor L. (2007) Random resistor network model of minimal conductivity in graphene. Physical Review Letters, 99 (17). ISSN 1079-7114
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. Finite transparency of the p-n junctions is 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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