Advertisement

Landauer-Büttiker Method

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

Abstract

In this chapter the Landauer-Büttiker method (also known as the scattering method) for coherent transport is considered. This method establishes the relation between the wave functions (scattering amplitudes) of electrons in a quantum junction and the conducting properties of this junction. The basic quantum junction model and results from the quantum scattering theory are discussed. The Landauer formula in the single channel case and the general multi-channel and multi-terminal formalism are discussed.

Keywords

Contact Resistance Transfer Matrix Transmission Coefficient Electrochemical Potential Transport Channel 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    R. Landauer, IBM J. Res. Develop. 1, 223 (1957)Google Scholar
  2. 2.
    R. Landauer, Phil. Mag. 21, 863 (1970)ADSCrossRefGoogle Scholar
  3. 3.
    E.N. Economou, C.M. Soukoulis, Phys. Rev. Lett. 46, 618 (1981)ADSCrossRefGoogle Scholar
  4. 4.
    D.S. Fisher, P.A. Lee, Phys. Rev. B 23, 6851 (1981)ADSMathSciNetCrossRefGoogle Scholar
  5. 5.
    M. Büttiker, Phys. Rev. B 41, 7906 (1990)ADSCrossRefGoogle Scholar
  6. 6.
    Y.V. Sharvin, JETP 21, 655 (1965). [J. Exp. Theor. Fiz. 48, 948 (1965)]Google Scholar
  7. 7.
    C.W.J. Beenakker, H. van Houten, in Solid State Physics, vol. 44, ed. by H. Ehrenreich, D. Turnbull (Academic Press, Boston, 1991)Google Scholar
  8. 8.
    H. Bruus, K. Flensberg, Many-Body Quantum Theory in Condensed Matter Physics (Oxford University Press, Oxford, 2004)Google Scholar
  9. 9.
    M. Büttiker, Phys. Rev. Lett. 57, 1761 (1986)ADSCrossRefGoogle Scholar
  10. 10.
    M. Büttiker, IBM J. Res. Develop. 32, 317 (1988)Google Scholar
  11. 11.
    D.K. Ferry, S.M. Goodnick, Transport in Nanostructures (Cambridge University Press, Cambridge, 1997)CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.TU DresdenDresdenGermany

Personalised recommendations