Inter-Valley vs. Intra-Valley Scattering in Zigzag-Edge Graphene Nano-Ribbons

by Denis Areshkin

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Tight-binding modeling of the current in zigzag-edge graphene nano-ribbons indicates that 120-degrees turns of the ribbon has virtually no effect on the ballistic transmission within single-band conduction window. At the same time 60-degrees turns are highly reflective. Figures below illustrate these statements. Simple pictorial explanation of the underlying physics is provided in the following article: [[File(120_vs_60_Conductance_03_CNT_Learning_Materials.pdf)]]
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Tight-binding modeling of the current in zigzag-edge graphene nano-ribbons indicates that 120-degrees turns of the ribbon have virtually no effect on the ballistic transmission within single-band conduction window. At the same time 60-degrees turns are highly reflective. Figures below illustrate these statements. Simple pictorial explanation of the underlying physics is provided in the following article: [[File(120_vs_60_Conductance_03_CNT_Learning_Materials.pdf)]]
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3 ||[[Image(60DegTurn_CurrentDensity__B_144.png, 414px)]]||'''Figure 1''' Atomically-resolved current in 120-degrees Z-GNR turn for the given energy '''''E'''''. Transmission plot is presented in insert. Dashed dark-blue line is the transmission of a perfect straight Z-GNR of the same width. Dark-red curve is the transmission of the 120-degrees turn. Green vertical line marks energy '''''E'''''.||
4 ||[[Image(50-50_Splitter.png, 414px)]]||'''Figure 2''' Atomically-resolved current in 120-degrees Z-GNR splitter for the given energy '''''E'''''.
5 Input (vertical) Z-GNR splits in two output Z-GNRs of the same widths oriented at 120-degrees angles with respect to the input current direction. Current splits symmetrically into outputs virtually without losses. Dashed green line in the insert is the transmission of a perfect straight Z-GNR. Green curve is the transmission into one of the output leads. Dark-blue curve is the net transmission into two leads. Vertical red line marks energy '''''E'''''.||