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Mode-detailed analysis of transmission based directly on Green’s functions

Author

Listed:
  • Cailong Jin

    (Zhejiang Institute of Modern Physics, Zhejiang University)

  • Jin Lan

    (Zhejiang Institute of Modern Physics, Zhejiang University)

  • Xuean Zhao

    (Zhejiang Institute of Modern Physics, Zhejiang University)

  • Wenquan Sui

    (Zhejiang Institute of Modern Physics, Zhejiang University)

Abstract

Fisher-Lee relation \hbox{$\bm{t}= {i}\bm{\Gamma}_L^{1/2}\bm{G}\bm{\Gamma}^{1/2}_R$} t = i Γ L 1 / 2 G Γ R 1 / 2 is a well-established tool to decode the mode information from Green’s function and coupling parameters. Using the Bloch eigen-modes of the leads, we show that the \hbox{$\bm{\Gamma}^{1/2}_{L/R}$} Γ L / R 1 / 2 term can be expressed by the Bloch eigen-mode vectors and the wave velocities which give unambiguous algorithm of \hbox{$\bm{\Gamma}^{1/2}_{L/R}$} Γ L / R 1 / 2 in the Fish-Lee relation. Using this approach, we present an accurate and convenient technique to analyze all transport modes and also the dominant channels of an electronic transport system in tight-binding model. We study graphene nanoribbon structures to demonstrate the typical application of our technique.

Suggested Citation

  • Cailong Jin & Jin Lan & Xuean Zhao & Wenquan Sui, 2016. "Mode-detailed analysis of transmission based directly on Green’s functions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(9), pages 1-6, September.
    • Handle: RePEc:spr:eurphb:v:89:y:2016:i:9:d:10.1140_epjb_e2016-70106-7
    DOI: 10.1140/epjb/e2016-70106-7
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    Keywords

    Mesoscopic and Nanoscale Systems;

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