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Nonequilibrium Mesoscopic Conductors Driven by Reservoirs

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Low-Dimensional Systems

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

Abstract

In order to specify a nonequilibrium steady state of a quantum wire (QWR), one must connect reservoirs to it. Since reservoirs should be large 2d or 3d systems, the total system is a large and inhomogeneous 2d or 3d system, in which e-e interactions have the same strength in all regions. However, most theories of interacting electrons in QWR considered simplified 1d models, in which reservoirs are absent or replaced with noninteracting 1d leads. We first discuss fundamental problems of such theories in view of nonequilibrium statistical mechanics. We then present formulations which are free from such dificulties, and discuss what is going on in mesoscopic systems in nonequilibrium steady state. In particular, we point out important roles of energy corrections and non-mechanical forces, which are induced by a finite current.

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Author information

Authors and Affiliations

  1. Department of Basic Science, University of Tokyo, Komaba, 153-8902, Tokyo, Japan

    Akira Shimizu & Hiroaki Kato

Authors
  1. Akira Shimizu
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  2. Hiroaki Kato
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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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Shimizu, A., Kato, H. (1999). Nonequilibrium Mesoscopic Conductors Driven by Reservoirs. 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_1

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  • DOI: https://doi.org/10.1007/3-540-46438-7_1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67237-1

  • Online ISBN: 978-3-540-46438-9

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