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arxiv: 0706.2968 · v2 · submitted 2007-06-20 · ❄️ cond-mat.mes-hall · cond-mat.dis-nn

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Random resistor network model of minimal conductivity in graphene

V.V. Cheianov , V.I. Falko , B.L. Altshuler , I.L. Aleiner
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classification ❄️ cond-mat.mes-hall cond-mat.dis-nn
keywords conductivitygraphenemodelnetworkrandomresistoranalyzebipolar
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Transport in undoped graphene is related to percolating current patterns in the networks of {\em N-} and {\em P}-type regions reflecting the strong bipolar charge density fluctuations. Transmissions of the {\em 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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