Random resistor network model of minimal conductivity in graphene

Details Random resistor network model of minimal conductivity in graphene Random resistor network model of minimal conductivity in graphene

2007-06-20

arxiv.org/abs/0706.2968v2

Phys. Rev. Lett. 99, 176801 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.99.176801

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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