Ballistic transport in disordered graphene

Details Ballistic transport in disordered graphene Ballistic transport in disordered graphene

2008-09-22

arxiv.org/abs/0809.3782v1

Phys. Rev. B 79, 075405 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

23 pages, 10 figures

Scientific paper

10.1103/PhysRevB.79.075405

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.

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