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Theory of the Quasi One-Dimensional Band Conductor

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Low-Dimensional Cooperative Phenomena

Part of the book series: NATO Advanced Study Institutes Series ((ASIB))

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Abstract

Chiefly simplified discussion of the (meanfield) Peieris transition; nearly-divergent density response of the 1-d conduction electron system at 2kF; its consequences for the stability of a hypothetical 1-d metal; derivation of Tc; calculation of distortion amplitude and energy gap below Tc.

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References and Footnotes

  1. H. Fröhlich, Proc. Roy. Soc. A223, 296 (1954)

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  2. C. G. Kuper, Proc. Roy. Soc. A227, 214 (1955).

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  3. R. E. Peierls, “Quantum Theory of Solids”, (Clarendon Press, Oxford, 1955 ) p. 108.

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  4. H. R. Zeller, Festkörperprobleme 13, 31–58 (1973).

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  5. M. J. Rice and S. Strässler, Solid State Commun. 13, 125 (1973).

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  6. P. A. Lee, T. M. Rice and P. W. Anderson, Solid State Commun. 14, 703 (1974).

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  7. M. J. Rice, S. Strässler and W. R. Schneider, “Some Fluctuation and Electrodynamic Properties of the Peierls-Fröhlich Conductor”, to be published in the Proceedings of the German Physical Society Conference on “One-Dimensional Conductors”, University of Saarbrücken, 10–12 July, 1974. ( Editor H. G. Schuster).

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  8. We neglect here the periodicity of the underlying linear lattice.

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  9. See, for example, D. Pines and P. Nozières, “The Theory of Quantum Liquids, 1: Normal Fermi Liquids”, (Benjamin, New York, 1966 ).

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  10. Ref. 8, p. 237.

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  11. The mathematical structure of the mean field theory of the Peierls-Fröhlich transition is in fact identical to that of the BCS theory of the pairing superconductor (J. Bardeen, L. N. Cooper and J. R. Schrieffer, Phys. Rev. 108, 1175 (1957)).

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  12. D. Allender, J. W. Bray and J. Bardeen, Phys. Rev. B9, 119 (1974)

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  13. J. Bardeen, Solid State Commun. 13, 1389 (1973).

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Author information

Authors and Affiliations

  1. Xerox Webster Research Center, Webster, N.Y., 14580, USA

    M. J. Rice

Authors
  1. M. J. Rice
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Editor information

Editors and Affiliations

  1. Anorganisch-Chemisches Institut der Universität, Heidelberg, Germany

    H. J. Keller

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© 1975 Springer Science+Business Media New York

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Rice, M.J. (1975). Theory of the Quasi One-Dimensional Band Conductor. In: Keller, H.J. (eds) Low-Dimensional Cooperative Phenomena. NATO Advanced Study Institutes Series. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-7031-2_2

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  • DOI: https://doi.org/10.1007/978-1-4899-7031-2_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-6973-6

  • Online ISBN: 978-1-4899-7031-2

  • eBook Packages: Springer Book Archive

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