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O: Fachverband Oberflächenphysik
O 60: Poster Session IV (Solid/liquid interfaces; Semiconductors; Oxides and insulators; Graphene; Plasmonics and nanooptics; Electronic Structure; Surface chemical reactions; Heterogeneous catalysis)
O 60.46: Poster
Wednesday, March 16, 2011, 17:30–21:00, P4
An analytical approach to the spectrum of π electrons in bilayer graphene nanoribbons and nanotubes — •Julius Ruseckas1, Gediminas Juzeliunas1, and Igor Zozoulenko2 — 1Institute of Theoretical Physics and Astronomy, Vilnius University, A. Goštauto 12, LT-01108 Vilnius, Lithuania — 2Solid State Electronics, ITN, Linköping University, 601 74 Norköping, Sweden
We present an analytical description of π electrons of a finite size bilayer graphene within a framework of the tight-binding model. The considered bilayered structures are characterized by a rectangular geometry and have a finite size in one or both directions with armchair- and zigzag-shaped edges. An exact analytical description of the spectrum of π electrons in the zigzag and armchair bilayer graphene nanoribbons and nanotubes is provided. The exact solution of the Schrödinger problem, the spectrum and wave functions, has been obtained and used to analyze the density of states and the conductance quantization.