Random resistor network model of minimal conductivity in graphene.
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.
Cheianov
Vadim V
VV
Physics Department, Lancaster University, Lancaster, LA1 4YB, United Kingdom.
Fal'ko
Vladimir I
VI
Altshuler
Boris L
BL
Aleiner
Igor L
IL