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Friedel Sum Rule in One- and Quasi-One-Dimensional Wires

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Low Dimensional Semiconductor Structures

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

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Abstract

We consider the Friedel sum rule (FSR) in the context of scattering in one- and quasi-one-dimensional ballistic wires with a double δ potential. In particular, we analyze the relation between the density of states (DOS) obtained from the energy derivative of the Friedel phase (or the scattering matrix) and that obtained from the Green’s function. We show that the local FSR is valid when a correction term is included. Various properties of the one-dimensional local DOS are also discussed.

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Authors and Affiliations

  1. Department of Physics, Aristotle University, Thessaloniki, Greece

    Vassilios Vargiamidis

  2. Department of Physics, Fordham University, Bronx, NY, USA

    Vassilios Fessatidis

  3. Department of Physics and Engineering Physics, Stevens Institute of Technology, Hoboken, NJ, 07030, USA

    Norman J. Morgenstern Horing

Authors
  1. Vassilios Vargiamidis
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  2. Vassilios Fessatidis
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  3. Norman J. Morgenstern Horing
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Corresponding author

Correspondence to Norman J. Morgenstern Horing .

Editor information

Editors and Affiliations

  1. , Dept. of Physics Engineering, Istanbul Technical University, Maslak, Istanbul, 34469, Turkey

    Hilmi Ünlü

  2. , Department of Physics and, Stevens Institute of Technology, Hoboken, 07030, USA

    Norman J. M. Horing

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© 2012 Springer-Verlag Berlin Heidelberg

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Vargiamidis, V., Fessatidis, V., Horing, N.J.M. (2012). Friedel Sum Rule in One- and Quasi-One-Dimensional Wires. In: Ünlü, H., Horing, N. (eds) Low Dimensional Semiconductor Structures. NanoScience and Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28424-3_7

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  • DOI: https://doi.org/10.1007/978-3-642-28424-3_7

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28423-6

  • Online ISBN: 978-3-642-28424-3

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