Ballistic transport in disordered graphene
Abstract
An analytic theory of electron transport in disordered graphene in a ballistic geometry is developed. We consider a sample of a large width W and analyze the evolution of the conductance, the shot noise, and the full statistics of the charge transfer with increasing length L, both at the Dirac point and at a finite gate voltage. The transfer matrix approach combined with the disorder perturbation theory and the renormalization group is used. We also discuss the crossover to the diffusive regime and construct a "phase diagram" of various transport regimes in graphene.
 Publication:

Advances in Theoretical Physics: Landau Memorial Conference
 Pub Date:
 May 2009
 DOI:
 10.1063/1.3149489
 arXiv:
 arXiv:0809.3782
 Bibcode:
 2009AIPC.1134..178S
 Keywords:

 71.23.k;
 03.65.Pm;
 02.30.Rz;
 71.10.Hf;
 Electronic structure of disordered solids;
 Relativistic wave equations;
 Integral equations;
 NonFermiliquid ground states electron phase diagrams and phase transitions in model systems;
 Condensed Matter  Mesoscopic Systems and Quantum Hall Effect
 EPrint:
 23 pages, 10 figures