Transition from ballistic to diffusive behavior of graphene ribbons in the presence of warping and charged impurities

Details Transition from ballistic to diffusive behavior of graphene ribbons in the presence of warping and charged impurities Transition from ballistic to diffusive behavior of graphene ribbons in the presence of warping and charged impurities

2009-08-28

arxiv.org/abs/0908.4228v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

We study the effects of the long-range disorder potential and warping on the conductivity and mobility of graphene ribbons using the Landauer formalism and the tight-binding p-orbital Hamiltonian. We demonstrate that as the length of the structure increases the system undergoes a transition from the ballistic to the diffusive regime. This is reflected in the calculated electron density dependencies of the conductivity and the mobility. In particular, we show that the mobility of graphene ribbons varies as mu(n) n^(-lambda), with 0

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