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Armenian Journal of Physics=Ֆիզիկայի հայկական հանդես
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STUDY OF THE GRAPHENE NANORIBBONS WITHIN HUBBARD HAMILTONIAN
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Graphene has acquired immense theoretical interest now. The size and geometry of the nanoscale carbon systems have important effects on their electronic properties. In the present work, both the zigzag and armchair grapheme nanoribbons (GNRs) are studied. Simple six sites lattice structure of graphene, made out of interpenetrating triangular lattices, has been considered. Different edge conditions are imposed to model difference in edge geometries. Electron density at the edge-site and in-site have been calculated for both GNRs. With the increase of on-site energy at the edges, the charge density decreases (increases) at the edge-sites (in-sites). The specific heat curves show single-peak structure with almost linear nature at the low temperatures. It confirms that graphene is similar to that of a two level system. The low energy behavior reflects the massless fermion feature of the modes. Observations have been compared with existing results.