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;
- Non-Fermi-liquid ground states electron phase diagrams and phase transitions in model systems;
- Condensed Matter - Mesoscopic Systems and Quantum Hall Effect
- E-Print:
- 23 pages, 10 figures