Zero-energy states in triangular and trapezoidal graphene structures

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DOIResolve DOI: http://doi.org/10.1103/PhysRevB.81.033403
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TypeArticle
Journal titlePhysical review. B, Condensed matter and materials physics
Volume81
Issue033403
Pages14; # of pages: 4
AbstractWe derive analytical solutions for the zero-energy states of degenerate shell obtained as a singular eigenvalue problem found in tight-binding (TB) Hamiltonian of triangular graphene quantum dots with zigzag edges. These analytical solutions are in agreement with previous TB and density-functional theory results for small graphene triangles and extend to arbitrary size. We also generalize these solutions to trapezoidal structure which allow us to study bowtie graphene devices
Publication date
LanguageEnglish
AffiliationNRC Institute for Microstructural Sciences; National Research Council Canada
Peer reviewedYes
NPARC number17400955
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Record identifiercde76f8e-2081-4050-a1b4-b140d0e0a245
Record created2011-03-26
Record modified2016-05-09
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