Green Functions

  • Dmitry A. RyndykEmail author
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 184)


In this chapter the Landauer approach using the Green function formalism is formulated. The definitions and basic properties of retarded (and advanced) Green functions, the relations between the Schrödinger equation, wave functions, Green functions and the scattering matrix are discussed. The matrix formalism, the recursive method for long or complex systems and the calculation of self-energies for semi-infinite electrodes are considered. Different types of resonant transport are discussed.


Green Function Spectral Function Transmission Function Dyson Equation Left Electrode 
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  1. 1.
    M. Di Ventra, Electrical Transport in Nanoscale Systems (Cambridge University Press, Cambridge, 2008)CrossRefGoogle Scholar
  2. 2.
    D.S. Fisher, P.A. Lee, Phys. Rev. B 23, 6851 (1981)ADSMathSciNetCrossRefGoogle Scholar
  3. 3.
    D.K. Ferry, S.M. Goodnick, Transport in Nanostructures (Cambridge University Press, Cambridge, 1997)CrossRefGoogle Scholar
  4. 4.
    M. Paulsson, cond-mat/0210519 (2002)
  5. 5.
    M.P. Lopez Sancho, J.M. Lopez Sancho, J. Rubio, J. Phys. F: Met. Phys. 15, 851 (1985)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.TU DresdenDresdenGermany

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