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Thomas-Fermi and Poisson modeling of gate electrostatics in graphene nanoribbon
Vilnius State University.
Linköping University, Department of Science and Technology, Physics and Electronics. Linköping University, The Institute of Technology.
Linköping University, Department of Science and Technology, Physics and Electronics. Linköping University, The Institute of Technology.
2012 (English)In: Lithuanian Journal of Physics, ISSN 1648-8504, Vol. 52, no 1, 63-69 p.Article in journal (Refereed) Published
Abstract [en]

We describe a simple graphene nanoribbon and bottom gate system and present numerical algorithms for solving Poissons and Thomas-Fermi equations for electrons in the graphene nanoribbon. The Poissons equation is solved using finite difference and finite element methods. Using the Poisson and Thomas-Fermi equations we calculate an electrostatic potential and surface electron density in the graphene nanoribbon. Finally, the Poisson-Thomas-Fermi model for the graphene nanoribbon is compared to a tight-binding Hartree model. The results show a good correspondence with the tight-binding model. The developed solver of the Poissons equation can be used in the future calculations of more complex graphene and gate systems.

Place, publisher, year, edition, pages
Lithuanian Physical Society , 2012. Vol. 52, no 1, 63-69 p.
Keyword [en]
graphene, Thomas-Fermi approximation, Poissons equation
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-77875DOI: 10.3952/lithjphys.52104ISI: 000303904400011OAI: oai:DiVA.org:liu-77875DiVA: diva2:529681
Note

Funding Agencies|Research Council of Lithuania|MIP-123|

Available from: 2012-05-31 Created: 2012-05-31 Last updated: 2014-10-30

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Shylau, ArtsemZozoulenko, Igor

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