Random resistor network model of minimal conductivity in graphene

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): 176801. ISSN 1079-7114

Preview

PDF
PhysRevLett.99.176801.pdf - Published Version
Download (284kB)

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. 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.