Thomas-Fermi and Poisson modeling of gate electrostatics in graphene nanoribbon
2012 (English)In: Lithuanian Journal of Physics, ISSN 1648-8504, Vol. 52, no 1, 63-69 p.Article in journal (Refereed) Published
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.
graphene, Thomas-Fermi approximation, Poissons equation
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-77875DOI: 10.3952/lithjphys.52104ISI: 000303904400011OAI: oai:DiVA.org:liu-77875DiVA: diva2:529681
Funding Agencies|Research Council of Lithuania|MIP-123|2012-05-312012-05-312014-10-30