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Low-Dimensional Systems pp 23–36Cite as

A Linear Response Theory of 1D-Electron Transport Based on Landauer Type Model

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Part of the book series: Lecture Notes in Physics ((LNP,volume 544))

Abstract

Effects of the interaction on the electron transport in one-dimensional systems are discussed on a model like that of Landauer’s theory. The model consists of one-dimensional channel with electron reservoirs at its ends. As the driving force of the current, we assume a chemical potential difference between the reservoirs, and we apply Kubo’s linear response theory to calculate the current. As for the effects of interaction, it is shown that the conductance at 0K is not affected by the interaction if the electrons in 1D-channel behave like Fermi liquid. The case of Tomonaga-Luttinger liquid is not simple. Within the present model, the conductance depends on the length lof 1D-channel like l -γ, where γ is a positive constant dependent on the strength of the interaction.

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Author information

Authors and Affiliations

  1. Department of Physics, Gakushuin University, Mejiro, 171-8588, Toshima-ku Tokyo, Japan

    Arisato Kawabata

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  1. Arisato Kawabata
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Editor information

Editors and Affiliations

  1. Institut für Theoretische Physik, Universiät Hamburg, Jungiusstr. 9, 20335, Hamburg, Germany

    Tobias Brandes

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© 1999 Springer-Verlag Berlin Heidelberg

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Kawabata, A. (1999). A Linear Response Theory of 1D-Electron Transport Based on Landauer Type Model. In: Brandes, T. (eds) Low-Dimensional Systems. Lecture Notes in Physics, vol 544. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46438-7_2

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  • DOI: https://doi.org/10.1007/3-540-46438-7_2

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67237-1

  • Online ISBN: 978-3-540-46438-9

  • eBook Packages: Springer Book Archive

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