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Transition from ballistic to diffusive behavior of graphene ribbons in the presence of warping and charged impurities
Adam Mickiewicz Univ Poznan, Fac Phys, Surface Phys Div, PL-61614 Poznan, Poland.
Linköping University, Department of Science and Technology. Linköping University, The Institute of Technology.
Linköping University, Department of Science and Technology. Linköping University, The Institute of Technology.
University Dusseldorf, Condensed Matter Phys Lab, D-40225 Dusseldorf, Germany .
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2009 (English)In: PHYSICAL REVIEW B, ISSN 1098-0121, Vol. 80, no 24, 245432- p.Article in journal (Refereed) Published
Abstract [en]

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)similar to n(-lambda), with 0 andlt;lambda less than or similar to 0.5. The exponent lambda depends on the length of the system with lambda=0.5 corresponding to short structures in the ballistic regime, whereas the diffusive regime lambda=0 (when the mobility is independent on the electron density) is reached for sufficiently long structures. Our results can be used for the interpretation of experimental data when the value of lambda can be used to distinguish the transport regime of the system (i.e., ballistic, quasiballistic, or diffusive). Based on our findings we discuss available experimental results.

Place, publisher, year, edition, pages
2009. Vol. 80, no 24, 245432- p.
Keyword [en]
ballistic transport, diffusion, electrical conductivity, electron density, graphene, impurities, long-range order, sheet materials, tight-binding calculations
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-53051DOI: 10.1103/PhysRevB.80.245432OAI: diva2:286655
Available from: 2010-01-15 Created: 2010-01-15 Last updated: 2011-01-10

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Shylau, A AZozoulenko, Igor
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