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Landauer’s Formula

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Mesoscopic Physics and Electronics

Part of the book series: NanoScience and Technology ((NANO))

Abstract

Landauer derived the relation between the conductance of a one-dimensional (1D) wire and the transmission and reflection probabilities at the Fermi level [1]. Let us consider the system schematically illustrated in Fig. 1.3.1. A wire is connected at both ends to an ideal wire which is infinitely long and eventually connected to an electron reservoir. The ideal reservoir satisfies the following two conditions:

  1. (1)

    All incident electrons are absorbed by the reservoir irrespective of their energy and phase.

  2. (2)

    It constantly provides electrons with energy below chemical potential µ. The energy and phase of these electrons are independent of those of absorbed electrons.

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References

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Authors
  1. T. Ando
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Editor information

Editors and Affiliations

  1. Institute for Solid State Physics, University of Tokyo, 7-22-1 Roppongi, Minato-ku, Tokyo 106, Japan

    T. Ando

  2. Institute of Industrial Science, University of Tokyo, 7-22-1 Roppongi, Minato-ku, Tokyo 106, Japan

    Y. Arakawa

  3. Department of Electrical and Electronic Engineering, Tokyo Institute of Technology, 2-1-12 O-okayama, Meguro-ku, Tokyo 152, Japan

    K. Furuya

  4. Department of Basic Science, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153, Japan

    S. Komiyama

  5. Institute of Scientific and Industrial Research, Osaka University, 8-1 Mihogaoka, Ibaraki, Osaka 567, Japan

    H. Nakashima

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© 1998 Springer-Verlag Berlin Heidelberg

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Ando, T. (1998). Landauer’s Formula. In: Ando, T., Arakawa, Y., Furuya, K., Komiyama, S., Nakashima, H. (eds) Mesoscopic Physics and Electronics. NanoScience and Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-71976-9_3

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  • DOI: https://doi.org/10.1007/978-3-642-71976-9_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-71978-3

  • Online ISBN: 978-3-642-71976-9

  • eBook Packages: Springer Book Archive

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